#CBSE Class 12 Integration notes
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Integration by Parts – Class 12 Mathematics Notes
Introduction:
Integration by Parts is a crucial technique in integral calculus, especially useful when dealing with the integration of the product of two functions. It is derived from the product rule of differentiation and helps solve complex integrals that cannot be integrated directly. Understanding this method thoroughly will aid in solving various problems in CBSE Class 12 board exams and competitive exams like JEE Main.

Formula for Integration by Parts:
If u = f(x) and v = g(x), then:
∫ u·v dx = u ∫v dx - ∫ (du/dx · ∫v dx) dx
Or simply,
∫ u·v dx = uv - ∫ v·(du/dx) dx
Choosing u and v – ILATE Rule:
To select which function to differentiate and which to integrate, use the ILATE rule:
I: Inverse Trigonometric functions L: Logarithmic functions A: Algebraic functions T: Trigonometric functions E: Exponential functions
Solved Examples of Integration by Parts:
Evaluate ∫ x · e^x dx
Let u = x (Algebraic), dv = e^x dx Then, du = dx, and v = ∫ e^x dx = e^x Apply the formula: ∫ x·e^x dx = x·e^x - ∫ e^x dx = x·e^x - e^x + C Answer: ∫ x·e^x dx = e^x(x - 1) + C
Evaluate ∫ ln x dx
Let u = ln x, dv = dx Then, du = (1/x) dx, v = ∫ dx = x Apply the formula: ∫ ln x dx = x·ln x - ∫ x·(1/x) dx = x·ln x - ∫ 1 dx = x·ln x - x + C Answer: ∫ ln x dx = x(ln x - 1) + C
Evaluate ∫ x · sin x dx
Let u = x, dv = sin x dx Then, du = dx, v = ∫ sin x dx = -cos x Apply the formula: ∫ x·sin x dx = -x·cos x + ∫ cos x dx = -x·cos x + sin x + C Answer: ∫ x·sin x dx = -x·cos x + sin x + C
Special Cases and Tips:
Some integrals may require repeated application of the formula. For example: ∫ x^2 e^x dx
Practice Questions
1. ∫ x · cos x dx 2. ∫ x · ln x dx 3. ∫ x^2 · e^x dx 4. ∫ arctan x dx 5. ∫ ln x dx
Conclusion:
Integration by Parts is a powerful technique in calculus, especially when dealing with products of functions. Mastery of the ILATE rule and regular practice of varied problems ensures confidence and accuracy in the exams.
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Best Online Tuition for State and CBSE Students: Crack NEET/JEE with Confidence

Students from State and CBSE boards who aim to crack NEET or JEE often face difficulty balancing school studies and entrance preparation. That’s where state and CBSE online tuition classes come in—giving students structured, guided learning right from home.
Viskool offers the Best Online Tutoring for Classes 11 and 12, combining academic support with focused coaching for competitive exams.
✅ Why Viskool Is the Best Online Tuition for NEET and JEE
If you're searching for the best online tuition for NEET or the best online tuition for JEE, Viskool delivers a full learning ecosystem:
Expert-led state and CBSE online tuition classes
Live + recorded sessions for flexible learning
Daily doubt-solving support
Board-synced and exam-focused practice
Personal progress monitoring tools
Viskool’s approach ensures your board preparation and competitive exam goals are met through one streamlined program.
🧬 Best Online Tuition for NEET Students (State & CBSE)
Success in NEET comes from:
Mastering the syllabus
Understanding concepts deeply
Daily problem-solving and revision
Viskool’s NEET classes cover Physics, Chemistry, and Biology in an engaging, easy-to-understand format tailored for CBSE and State board students.
Features:
Chapter-wise teaching aligned with the NEET syllabus
Real-life visuals and examples
Regular assignments, tests, and mock exams
Daily live doubt-clearing sessions
Support for both board curriculum and competitive goals
This is what makes us a top choice for state and CBSE online tuition classes with NEET readiness built in.
📐 Best Online Tuition for JEE Aspirants (CBSE & State Boards)
JEE demands clarity, consistency, and rigorous practice. Viskool’s best online tutoring for classes 11 and 12 integrates:
Syllabus-aligned learning for CBSE and State boards
Deep concept building in Physics, Chemistry, and Math
Step-by-step approach with live/recorded classes
Topic-wise practice sets and timed mock tests
Individual feedback and mistake analysis
Whether you follow the CBSE or a State syllabus, our classes support both board results and JEE goals—making us the best online tuition for JEE aspirants.
📘 Best Online Tuition for CBSE Students: NEET + JEE Prep in One Place
Many CBSE students in Classes 11 and 12 look for coaching that aligns with school while preparing for entrance exams. Viskool’s state and CBSE online tuition classes offer just that:
CBSE-synced curriculum coverage
Chapter-wise lessons, live discussions, and notes
Regular board-style test papers
Extra focus on problem-solving for NEET and JEE
Smart progress tracking for school and entrance readiness
This dual focus saves time and builds confidence—making Viskool the best online tuition for CBSE students aiming for both academic and competitive success.
🧪 Best Online Tuition for State Board Students
Many State board students lack access to reliable coaching options. That’s why Viskool’s online tuition for the state board is designed to offer:
Full coverage of State syllabus
Simple, concept-focused teaching
Live and recorded classes based on student needs
Regular assignments, worksheets, and exam prep support
Entrance exam foundation (NEET/JEE) built-in
Whether you are from Tamil Nadu, Karnataka, Kerala, Maharashtra, or elsewhere, our state and CBSE online tuition classes support your growth from the basics to advanced problem-solving.
🎯 Best Online Tutoring for Classes 11 and 12
Choosing the best online tutoring for Classes 11 and 12 is crucial for mastering the subjects and getting exam-ready. These years shape your board results and entrance chances.
Viskool provides:
Step-by-step syllabus guidance
Doubt-clearing with mentors
Practice questions for board and entrance formats
Regular assessments and mock tests
Flexibility to study at your own pace
Whether you need help in Physics, Chemistry, Biology, or Math, we provide expert-led tuition that supports your journey through Class 11 and Class 12 with clarity and consistency.
🎥 Why Recorded Classes Are a Must-Have
For many students, the best online tuition platform with recorded classes provides freedom and flexibility that live-only classes can’t match.
Benefits of recorded sessions:
Rewatch difficult concepts multiple times
Never miss important topics
Learn at your own pace, anytime
Better time management between school, self-study, and coaching
Useful for long-term revision and retention
Viskool combines live mentoring with full recorded class access, making it ideal for students balancing CBSE or State board studies with NEET/JEE prep.
💰 Affordable, Complete, and Accessible Learning
A major barrier for many students is cost. That’s why Viskool offers the best online tuition with an affordable fee structure, giving access to:
Quality teaching by expert educators
Full coverage of State and CBSE syllabi
Exam-oriented question banks
Daily support and feedback
Students from small towns or remote areas benefit the most, accessing top-tier education without leaving home.
🚀 Start Your Journey with the Best Online Tuition Platform
Whether you're a State board or CBSE student preparing for NEET, JEE, or school exams, Viskool gives you:
Full syllabus coverage
Daily revision plans
Regular testing & instant feedback
A balance between school and competitive preparation
This is your opportunity to study smarter, reduce stress, and move ahead with confidence.
🎓 Enroll in Viskool – The Best Online Tuition for NEET, JEE, and Board Success
Join thousands of students who trust Viskool’s state and CBSE online tuition classes for Classes 11 and 12. With our smart learning system, you’ll gain the edge you need for school and competitive exams—all in one platform.
👉 Explore the top features of Viskool: Best Online Tuition for State and CBSE students who prepare for NEET/JEE exams: Your Complete Success Roadmap
📖 Continue Learning Our previous Blog: Top reasons to choose an online learning institution that supports flexible education and career goals
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🧮📘 Applied Maths Made Easy with EDUCATION HUB! 🎯💡
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Best Coaching for Class 12 Commerce Students in Kankarbagh
Class 12 is a crucial year for commerce students as it lays the foundation for higher studies and professional careers. With board exams, competitive exams, and future career decisions at stake, selecting the right coaching institute is essential. If you are a Class 12 commerce student in Kankarbagh, Patna, Chartered Commerce is the best coaching institute for class 12 to help you excel in Accountancy, Business Studies, Economics, and other subjects.
With experienced faculty, structured study materials, regular assessments, and personalized attention, Chartered Commerce ensures that students achieve top scores in board exams and prepare for professional courses like CA, CMA, and B.Com.
Why Choose Chartered Commerce for Class 12 Commerce Coaching?
1. Highly Experienced and Qualified Faculty
Chartered Commerce boasts a team of experienced and well-qualified teachers, including CA professionals and commerce experts, who: ✔ Provide concept-based learning to strengthen fundamental concepts. ✔ Offer easy-to-understand explanations for complex topics. ✔ Conduct interactive and engaging classes to keep students focused.
With expert guidance, students gain in-depth knowledge of their subjects, ensuring better performance in board exams and entrance tests.
2. Comprehensive Subject Coverage for Class 12
Class 12 syllabus requires thorough understanding and application-based learning. Chartered Commerce provides:
Accountancy – Covers Partnership Accounts, Company Accounts, and Cash Flow Statements in depth.
Business Studies – Focuses on management principles, business finance, and marketing strategies.
Economics – Includes Macroeconomics, National Income, and Indian Economic Development.
Each subject is taught using real-world examples, case studies, and practical applications to ensure better retention and conceptual clarity.
3. Structured and Well-Researched Study Material
Chartered Commerce provides comprehensive study materials, including: ✔ Simplified notes and concept-based explanations for quick understanding. ✔ Practice questions and worksheets for revision. ✔ Previous years’ board exam papers to help students familiarize themselves with the exam pattern. ✔ Mock tests and sample papers designed according to CBSE standards.
These resources ensure that students are fully prepared to tackle their Class 12 board exams with confidence.
4. Regular Tests, Mock Exams, and Performance Analysis
At Chartered Commerce, assessment and evaluation are key priorities. The institute conducts: ✔ Weekly and monthly tests to track progress. ✔ Mock board exams under real exam conditions. ✔ Detailed performance analysis and feedback sessions to help students improve.
By practicing under exam-like conditions, students gain time management skills and confidence to score high in their final board exams.
5. Small Batch Sizes and Personalized Attention
One of the biggest advantages of Chartered Commerce is its small batch size, which allows for: ✔ One-on-one interaction with faculty. ✔ Special doubt-clearing sessions for weak topics. ✔ Personalized mentoring to improve individual performance.
Unlike overcrowded coaching centers, Chartered Commerce ensures that every student gets the attention and guidance they need to excel.
6. Smart and Interactive Learning Methods
To make learning more effective and engaging, Chartered Commerce integrates modern teaching techniques, such as: ✔ Smart classrooms with visual presentations. ✔ Live problem-solving sessions for better understanding. ✔ Case studies and real-world applications to relate concepts to practical scenarios.
This approach enhances critical thinking skills, preparing students for board exams, competitive exams, and future careers.
7. Affordable Fees and Scholarship Opportunities
Chartered Commerce believes that quality education should be accessible to all. The institute offers: ✔ Affordable fee structures for Class 12 students. ✔ Scholarships for meritorious students to encourage excellence. ✔ Flexible payment options to reduce financial burden.
This ensures that every student in Kankarbagh has access to top-quality commerce coaching.
8. Career Counseling and Professional Course Guidance
Class 12 students often struggle with choosing the right career path. At Chartered Commerce, we provide: ✔ Career counseling sessions to help students make informed choices. ✔ Guidance for CA, CMA, B.Com, MBA, and Finance-related careers. ✔ Information about top universities and entrance exams for higher studies.
With expert career counseling, students can plan their future wisely and choose the right career path in commerce.
9. Convenient Location and Well-Equipped Infrastructure
Located in the heart of Kankarbagh, Patna, Chartered Commerce offers: ✔ Easily accessible location for students across the city. ✔ Well-equipped classrooms and a resourceful library for an optimal learning experience. ✔ A disciplined and student-friendly environment to encourage focused learning.
The state-of-the-art infrastructure ensures that students have all the facilities needed for effective learning.
Final Verdict: The Best Choice for Class 12 Commerce Students in Kankarbagh
If you are a Class 12 commerce student in Kankarbagh, Patna, Chartered Commerce is the best coaching institute to help you achieve academic excellence. With expert faculty, structured learning, high-quality study materials, personalized attention, and career counseling, it provides everything needed to score high in board exams and prepare for a successful commerce career.
Join Chartered Commerce Today!
Give your Class 12 commerce preparation the best start with the top coaching institute in Kankarbagh, Patna.
📍 Visit us at: A-10, above Bank of Baroda, Housing Board Colony, Kankarbagh, Patrakar Nagar, Patna, Bihar 800020 📞 Call us at: 8674817276 📧 Email us at: [email protected] 🌐 Website: Chartered Commerce
Admissions Open! Secure your future with the best commerce coaching in Kankarbagh!
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CBSE Online Group Classes with Expert Teachers at Gritty Tech – A Comprehensive Guide
What Makes CBSE Online Group Classes Unique?
CBSE online group classes revolutionize the traditional learning environment. These classes provide a dynamic space where students collaborate, discuss, and learn under the guidance of expert teachers. Gritty Tech has transformed this concept, delivering a uniquely interactive and efficient educational experience More...
Benefits of Group Learning
Group learning fosters collaboration, problem-solving, and critical thinking. Students engage in discussions, share ideas, and learn from peers. This method encourages:
Improved communication skills
Enhanced academic performance
A supportive learning community
Expert Teachers at Gritty Tech
At Gritty Tech, teachers are carefully selected for their expertise and passion for teaching. They employ:
Innovative teaching methodologies
Interactive techniques
A student-centric approach
Interactive Learning Tools
Gritty Tech integrates cutting-edge tools such as digital whiteboards, live quizzes, and interactive assignments, ensuring every class is engaging and impactful.
Personalized Attention in Group Settings
Though classes are group-based, teachers ensure personalized attention by:
Monitoring individual progress
Addressing specific queries
Providing tailored feedback
How Gritty Tech Transforms CBSE Education
Gritty Tech’s approach ensures students excel in their academic journey. Here’s how:
Comprehensive Curriculum Coverage
Our classes align perfectly with the CBSE syllabus, ensuring no topic is overlooked. Teachers emphasize:
Core concepts
Application-based learning
Regular Assessments and Feedback
Frequent assessments help track progress and address challenges promptly.
Flexible Scheduling Options
Understanding students’ diverse needs, Gritty Tech offers:
Multiple time slots
Easy rescheduling options
The Role of Technology in Online Learning
Technology is the backbone of Gritty Tech’s online classes. From interactive sessions to secure platforms, technology enhances every aspect of learning.
Advanced Platforms and Tools
Gritty Tech uses:
AI-powered platforms
Cloud-based learning systems
Cybersecurity and Data Privacy
We prioritize student safety with robust cybersecurity measures, ensuring a secure and distraction-free environment.
Why Parents and Students Choose Gritty Tech
Gritty Tech stands out for its commitment to academic excellence and holistic development. Success stories speak volumes about the platform’s impact.
Improved Academic Performance
Students consistently report improved grades and deeper subject understanding.
Holistic Development
Beyond academics, Gritty Tech fosters:
Critical thinking skills
Emotional intelligence
Teamwork
FAQs
How to Enroll?
Visit Gritty Tech’s website and follow the simple enrollment process.
Is Gritty Tech Affordable?
Yes, with flexible pricing plans, Gritty Tech ensures quality education is accessible.
What Age Groups Are Eligible?
Classes cater to students from grades 6 to 12.
Do Students Get Study Materials?
Yes, students receive comprehensive study materials, including notes and practice papers.
Can Students Interact with Teachers?
Absolutely! Teachers encourage active participation through Q&A sessions and discussions.
Are the Classes Live or Recorded?
Both options are available, providing flexibility to students.
Conclusion
CBSE online group classes at Gritty Tech are a game-changer in education. With expert teachers, advanced technology, and a focus on holistic development, these classes prepare students for academic success and beyond.
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The Best B.Tech Colleges in India: Shaping the Engineers of Tomorrow
B.Tech WILP (Work Integrated Learning Program) is designed for working professionals who want to pursue a Bachelor of Technology degree while continuing their jobs. This program offers the flexibility of online or weekend classes, allowing participants to balance work and education. It combines academic learning with practical, industry-relevant experience, helping students gain both theoretical knowledge and hands-on skills. WILP B.Tech degrees are typically offered by recognized universities and provide opportunities for career advancement without requiring a career break.

Course Level Undergraduate
Full Form : Bachelor of Technology
Duration : 4 Years
Eligibility : Minimum 50% in 11+12 Physics,Chemistry,Mathematics as the Main Subjects
Admission Process : Based on Entrance Test
Course Fees: INR 30,000 to 8,00,000
Average Salary: INR 3,00,000 - INR 4,00,000
Job Position: IT Analyst, Software Developer, System Engineer Programme,Civil Engineers, Mechanical Engineers, etc
Top Recruiting Areas: IT Sector,Banks,Hospitals and Educational Institutes
1. BITS Pilani:
BITS Pilani is one of the best engineering colleges in India. The institute has noted Rupcon's excellent performances at the board level and with both academic and extracurricular performance outstanding, along with the most exceptional faculty. Established in 1964, BITS Pilani offers a Bachelor of Technology degree in Computer Science, Electrical, Mechanical, and Chemical Engineering. This institute is credited for its innovative attitude in academia and for exploring flexibility and self-directed learning through which students can select their courses and projects. Apart from research and innovation, BITS Pilani presents the most generous opportunities for internship and industry collaborations, which equip its graduates with professional success in engineering and technology. In addition, rich campus life and student community add an important rich flavor to its overall learning experience.
Eligibility Criteria
Accepted Exam : BITS, TS EAMCET, CBSE 12th, RBSE 12th
10 + 12 Score: 45%
Return on Investment
Total Tuition Fees: 4.8L-20.8L
Average Package :19 LPA
2. Mangalayatan University:
Mangalayatan University at Aligarh, Uttar Pradesh, India, offers a B.Tech. The course has provided an all-rounded undergraduate program so that students would be well and adequately embedded with the essential knowledge in engineering and practical skills. A university like this has modern infrastructure, the latest laboratories, and experienced faculty for hands-on learning and research. Considering the latest technological trends and developments, the curriculum for B. Tech courses is framed to make it relevant to industries. Above all, Mangalayatan University tracks the all-round development of the students through various extracurricular activities, thus leaving them geared for the ever-encroaching field of engineering and work-related scenarios in the future.
Eligibility Criteria
Accepted Exam: MUEE
Return on Investment
Total Tuition Fees: 4L
Average Package: 12-14 LPA

✔✔Check out Our Programs To Check Here
3. Shri Venkateshwara University Engineering
Shri Venkateshwara University, Gajraula (UP), offers full-fledged B.Tech learning programs for students to make their careers in the engineering field by updating their basic engineering skills and knowledge. The university has planned an adequate number of study tasks within its curriculum, including disciplines like Computer Science, Information Technology, Electronics, and Mechanical Engineering. Some benefits include practical training with industry-relevant projects and exposure to modern labs with experience-backed faculty. The institution is expected to train one to be innovative, problem-solve, and critical thinkers, ready to hold successful careers in the engineering and technology sectors. The university caters to campus life by offering diverse extracurricular activities and personal development options.
Eligibility Criteria
Accepted Exam: AP EAMCET, CBSE 12th , BIEAP
10 + 12 Score: 45%
Return on Investment
Total Tuition Fees:44.1K - 6L
Average Package
4.5 LPA
4. Lingaya's Vidyapeeth Engineerinng
Lingaya's Vidyapeeth is one of the leading private universities in Faridabad, Haryana. The four-year B.Tech course has been planned in a way that gives students a firm grip on knowledge concerning engineering. It combines theory with practical life and engineering fields like Computer Science, Mechanical Engineering, Civil Engineering, and many more. Having modern infrastructures and an experienced faculty with a research and innovation focus, this institution would be well-equipped to prepare for industry-relevant skills to be taught to its students. This would include holistic development through extracurricular activities and placements wherein graduates would be adequately empowered for the challenges awaiting them in the professional world.
Eligibility Criteria
Accepted Exam : JEE Main, HSTES, CBSE 12th, HBSE 12th, CUET
10 + 12 Score : 45%
Return on Investment
Total Tuition Fees : 3.7L - 12L
Average Package : 3.1 LPA
5. Apex University:
APEX University is situated in Jaipur, Rajasthan, and is reputed as an undergraduate institution. APEX University has ultra-modern infrastructure and teaching staff with experience and industry-oriented curriculums. Their focus areas include giving a solid foundation of engineering principles, and they make the students innovative with good problem-solving abilities. APEX University emphasizes practical training in labs, internships, and projects to prepare students for varied engineering fields. Building on the idea of a student-centric approach and with an excellent gamut of co-curricular activities, the university promises to provide a well-rounded development process to turn you into a well-rounded professional.

Eligibility Criteria
Accepted Exam : CBSE 12th, RBSE 12th, CUET, ISC
10 + 12 Score : 45%
Return on Investment
Total Tuition Fees : 3.6L – 5.2L
Average Package :5 LPA
Conclusion:
Work Integrated Learning Programs, WILP, are in many Top B.Tech colleges in India. This will aid working people to take up advanced technical studies with a tinge of industry exposure. It can be carried out in a balance of work and research as per the flexible mode of scheduling that will ensure maintaining quality education standards. Some WILP institutions include BITS Pilani, Mangalayatan University, and more. It contains the curricula related to that industry, faculty experience with practical learning, etc. Along with this, it teaches theoretical knowledge to the students and exercises them using hands-on practice. For this reason, they can be more competitive against job opportunities and advance a career in this highly changing technology.
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Arihant's All in One Series: Comprehensive Guide for CBSE Classes 11-12 Commerce
Arihant Publications, a trusted name in educational resources, has curated the "All in One" book series specifically for CBSE students in classes 11 and 12, specializing in commerce. These books are designed to offer a thorough and in-depth understanding of subjects crucial to commerce students, including Accountancy, Business Studies, and Economics. By integrating detailed theory, practical examples, and extensive practice questions, these books are essential tools for students aiming to excel in their academic pursuits.
Comprehensive Textbooks for Accounts
Arihant’s Textbooks for Accounts are tailored to meet the needs of commerce students. These books cover all topics outlined in the CBSE syllabus, providing clear explanations and practical examples. Whether it’s understanding the fundamentals of accounting or mastering complex concepts, these textbooks offer comprehensive coverage that is both thorough and accessible.
Up-to-Date Textbooks for 2025
Keeping pace with the evolving educational standards, Arihant ensures that all their books are in line with the Textbooks for 2025 guidelines. This means that students are studying the most current and relevant material, preparing them effectively for both their exams and future academic endeavors. The CBSE Book for Accountancy is particularly noted for its alignment with the latest curriculum, ensuring that students are well-prepared for their board examinations.
Key Features of Arihant's All in One Series for Commerce
In-Depth Syllabus Coverage: The Textbooks for Accounts and other commerce subjects provide exhaustive coverage of the CBSE syllabus, ensuring no topic is left out. This makes these books a reliable resource for both classroom learning and self-study.
Clear and Engaging Content: The books are written in a student-friendly language, making complex concepts easier to grasp. This approach is particularly beneficial in subjects like Accountancy, where clarity and precision are crucial.
Extensive Practice Questions: Each book includes a variety of practice questions, previous years’ papers, and sample papers. This extensive practice helps students hone their problem-solving skills and prepare thoroughly for their exams.
Updated Material: Adhering to the Textbooks for 2025 standards, Arihant ensures that all books are regularly updated. This keeps students in line with the current curriculum and examination patterns, giving them a competitive edge.
Practical Application: The CBSE Book for Accountancy and other commerce books emphasize practical applications of theoretical concepts. This approach not only prepares students for their exams but also equips them with skills useful for their future careers.
Advantages for Commerce Students
Holistic Learning Experience: The All in One series offers a balanced approach to learning, combining theory, practical examples, and application-based questions. This prepares students comprehensively for their exams.
User-Friendly Language: The books are written in simple, easy-to-understand language, making them accessible to all students. This is particularly helpful for students who may find commerce subjects challenging.
Self-Assessment Tools: The inclusion of numerous practice questions and mock tests allows students to assess their understanding and identify areas that need improvement. This self-assessment is crucial for effective exam preparation.
Conclusion
Arihant’s All in One Books for Classes 11-12 Commerce are indispensable resources for CBSE students. They offer a thorough and engaging approach to learning, ensuring that students are well-prepared for their exams. With comprehensive Textbooks for Accounts and other commerce subjects, students can confidently navigate their academic journey, armed with the knowledge and skills required to succeed. Whether preparing for board exams or building a foundation for future studies in commerce, Arihant’s "All in One" series is the perfect companion for every CBSE commerce student.
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Discover comprehensive NCERT Class 12 Integrals study material by StudiesToday. Enhance your understanding with detailed notes, solved examples, and practice questions. Ideal for CBSE students aiming to excel in their board exams and grasp integral calculus concepts.
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Discover Excellence: Top Full Boarding Schools in Dehradun

Introduction
Dehradun, nestled in the picturesque foothills of the Himalayas, is not just a city; it’s an educational haven.
With its serene beauty, lush greenery, and rich legacy of academic institutions, a full boarding school in Dehradun has become synonymous with excellence in education.
Among its many gems, boarding schools stand out as beacons of holistic development, nurturing young minds and shaping future leaders.
In this article, we delve into the world of Dehradun’s top full boarding schools, each offering a unique blend of tradition, innovation, and character-building.
The Asian School: Where Tradition Meets Technology
The Asian School, established in 2000, seamlessly combines Indian traditions with modern technology.
Awarded as the best CBSE school, it caters to both day scholars and boarders. Here’s what sets it apart:
Campus: Spread across 16 acres, the school’s campus, known as “Asian Acres,” provides a harmonious blend of academic excellence and residential comfort. Separate hostels for different age groups ensure a nurturing environment.
Holistic Development: The Asian School emphasizes holistic growth through sports, co-curricular activities, and community service. Environmental consciousness is woven into the fabric of daily life.
Curriculum: Affiliated to the Central Board of Secondary Education (CBSE), the school offers English medium education from nursery to XII.
Facilities: World-class infrastructure, well-equipped laboratories, a stocked library, and excellent dining facilities enhance the learning experience.
The Doon School: A Legacy of Brilliance
The Doon School, founded in 1935, is more than an institution; it’s a transformative experience. Here’s why it remains an iconic all-boys boarding school:
Campus: Nestled in a sprawling seventy-acre campus, The Doon School offers fresh air, greenery, and academic brilliance. It’s a haven where diversity flourishes.
Guidance: With guidance available seven days a week, students aged 12–18 find intellectual vitality and a nurturing environment.
Legacy: The Doon School has produced leaders, thinkers, and visionaries who have left an indelible mark on the world.
Welham Girls’ School: Empowering Tomorrow’s Women
Welham Girls’ School is synonymous with empowerment. Established in 1957, it has consistently championed the cause of girl education:
Legacy: With a legacy spanning over six decades, Welham Girls’ School has nurtured confident, independent, and compassionate women.
Curriculum: The school offers the ISC curriculum, emphasizing academic rigor, creativity, and character development.
Beyond Academics: From sports to arts, Welham Girls’ School encourages holistic growth.
Woodstock School: A Global Community
Woodstock School transcends borders. Founded in 1854, it has been a melting pot of cultures and ideas:
Diversity: Woodstock School welcomes students from around the world, fostering cross-cultural understanding.
Values: The school instills values of compassion, integrity, and service.
Mountain Setting: Nestled in the Himalayan foothills, Woodstock School offers a unique learning environment.
Conclusion
Dehradun’s boarding schools are not mere institutions; they are life-transforming experiences.
Whether it’s The Asian School’s blend of tradition and technology, The Doon School’s legacy, Welham Girls’ School’s empowerment, or Woodstock School’s global outlook, each school contributes to shaping a brighter future.
So, parents, as you embark on this educational journey, remember that excellence awaits your child in the heart of Dehradun.
Note: The information provided is based on available data and reflects the status as of the mentioned dates.
For the most up-to-date details, please visit the respective school websites.
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Best International & CBSC School in Modakkurichi Erode
As of my last knowledge update in January 2023, I don't have specific details about any changes in the educational system beyond that point. However, I can provide you with some general strategies and considerations that can be valuable in navigating the CBSE (Central Board of Secondary Education) school system in 2023 or beyond. Keep in mind that educational systems can evolve, so it's crucial to stay informed about any updates from relevant education authorities.
Best International & CBSC School in Modakkurichi Erode
1. Stay Updated with CBSE Guidelines:
Regularly check for updates and guidelines issued by CBSE.
Be aware of any changes in the curriculum, examination patterns, or evaluation methods.
2. Effective Time Management:
Develop strong time management skills to balance academics, extracurricular activities, and personal life.
Create a realistic study schedule, allocating dedicated time for each subject.
3. Active Participation in Class:
Actively engage in classroom discussions.
Ask questions and seek clarification on concepts to enhance understanding.
4. Effective Study Techniques:
Adopt effective study techniques, such as summarization, note-taking, and regular revision.
Practice solving sample papers and previous years' question papers.
5. Continuous Assessment Preparation:
Prepare for periodic assessments, class tests, and projects.
Seek feedback from teachers to identify areas for improvement.
6. Extracurricular Involvement:
Participate in extracurricular activities to develop a holistic skill set.
Choose activities aligned with your interests and career aspirations.
7. Balanced Lifestyle:
Maintain a balanced lifestyle with adequate sleep, nutrition, and physical activity.
Prioritize mental well-being and practice stress management techniques.
8. Stay Informed About Career Options:
Explore potential career paths and stay informed about various career options.
Seek guidance from career counselors for insights into different professions.
9. Prepare for Entrance Exams (if applicable):
If pursuing higher education, be aware of any entrance exams relevant to your chosen field.
Begin exam preparation well in advance, seeking additional support if needed.
10. Build a Strong Support System:
- Develop positive relationships with teachers, classmates, and mentors. - Utilize school resources, including counseling services, for academic and personal support.
11. Digital Literacy:
- Enhance digital literacy skills, as technology becomes increasingly integrated into education. - Familiarize yourself with online resources and tools that support learning.
12. Global Awareness:
- Foster a global mindset by staying informed about international events and perspectives. - Participate in activities that promote cultural understanding and diversity.
13. Continuous Learning:
- Cultivate a mindset of continuous learning beyond the prescribed curriculum. - Explore additional topics of interest and pursue self-directed learning.
14. Critical Thinking and Problem-Solving:
- Develop critical thinking skills through analytical reasoning and problem-solving exercises. - Apply theoretical knowledge to real-world scenarios.
15. Prepare for Practical Learning:
- Be prepared for practical learning experiences, especially in subjects that involve experiments or hands-on activities. - Actively participate in practical sessions to reinforce theoretical concepts.
16. Stay Informed about Higher Education Trends:
- Stay updated on trends in higher education and evolving career requirements. - Explore new fields and emerging career opportunities.
17. Collaborative Learning:
- Collaborate with peers on projects and assignments. - Participate in study groups to enhance collective learning.
18. Explore Internship Opportunities:
- Explore internship opportunities that provide practical exposure to your field of interest. - Internships can offer valuable insights and enhance your resume.
Remember, adaptability and a proactive approach to learning are essential in any educational system. Stay connected with your teachers, leverage available resources, and be open to exploring new opportunities for personal and academic growth.
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List of CBSE Schools in Hyderabad.
Introduction
Hyderabad, a city that gracefully wears the moniker "City of Pearls," beckons not only with its cultural splendour but also with the brilliance of its educational horizon. Nestled in the heart of India, it's a place where history whispers through ancient monuments, and the promise of the future resonates in the vibrant streets.
As you navigate through the maze of educational possibilities, one board emerges as a guiding star – the Central Board of Secondary Education (CBSE). Just as a skilled blacksmith hammers raw iron into a finely honed sword, CBSE forges students through a rigorous curriculum and a comprehensive approach to provide quality education.
In this blog, we will take you on a journey through some of the best CBSE schools in Hyderabad.

List of CBSE Schools in Hyderabad
Meru International School: It offers classes from Nursery to Grade 12. The school boasts modern classrooms, well-equipped labs, a comprehensive library, sports facilities, and a wide range of extracurricular programs. The approximate fee structure varies by grade, so it's advisable to contact the school directly for specific details.
Delhi Public School, Hyderabad: It provides education from Nursery to Grade 12. The school boasts state-of-the-art infrastructure, extensive sports facilities, a well-stocked library, and technology-integrated classrooms. The approximate annual fee structure ranges from INR 60,000 to INR 1,00,000 depending on the grade level.
Oakridge International School: It offers classes from Nursery to Grade 12. The school is known for its world-class facilities, including STEM labs, a comprehensive library, sports complexes, and art studios. The approximate fee structure for Oakridge varies by grade, with annual fees ranging from INR 2,00,000 to INR 6,00,000.
Chirec International School: It caters to students from Nursery to Grade 12. It provides spacious classrooms, well-equipped science and computer labs, sports arenas, and a vibrant arts program. The approximate fee structure at Chirec varies based on the grade, with annual fees ranging from INR 90,000 to INR 2,50,000.
Kennedy High Global School: It offers classes from Nursery to Grade 12. The school features well-equipped classrooms, sports facilities, science labs, and a strong focus on character development. The approximate fee structure typically falls between INR 60,000 to INR 1,50,000 per annum.
Glendale Academy: It provides education from Nursery to Grade 12 and is known for its innovative teaching methods, science and computer labs, and emphasis on extracurricular activities. The approximate fee structure ranges from INR 50,000 to INR 1,50,000 annually.
The Creek Planet School: It offers classes from Nursery to Grade 12. The school has modern classrooms, well-equipped labs, a library, and a focus on global education. The approximate fee structure varies but typically falls between INR 60,000 to INR 1,80,000 per annum.
Sreenidhi International School: It caters to students from Nursery to Grade 12. It offers spacious classrooms, science labs, sports facilities, and an emphasis on character education. The approximate fee structure generally ranges from INR 75,000 to INR 2,00,000 per year.
Sentia – The Global School: It provides education from Nursery to Grade 12. It is known for its innovative teaching methods and a stimulating learning environment centred around experiential learning. For specific fee details, it's best to contact the school directly.
Bharatiya Vidya Bhavan's Public School: It offers classes from Nursery to Grade 12 and blends tradition with modernity, providing a well-rounded education with a cultural emphasis. Tuition fees at Bharatiya Vidya Bhavan's Public School range from INR 40,000 to INR 1,00,000 per annum, depending on the grade level.
Please note that the fee structures mentioned are approximate and may vary based on specific grade levels, admission criteria, and any additional fees for extracurricular activities or transportation. It's advisable to contact the respective schools directly for the most accurate and up-to-date information on fees and admission processes.
Here's why Meru International School should be your top choice:
Holistic Development: Nurturing academic excellence alongside overall growth through diverse extracurricular activities.
Cutting-Edge Facilities: Modern classrooms, labs, library, and sports facilities for talent exploration.
Experienced Educators: A dedicated faculty ensuring a nurturing, intellectually stimulating environment.
Innovative Teaching: Employing modern methods and technology for a world-class education.
Global Perspective: Encouraging global thinking through international programs and competitions.
Conclusion
Hyderabad's educational landscape is indeed a treasure trove of CBSE schools, each offering a unique journey for young minds. From the traditional wisdom of Bharatiya Vidya Bhavan's Public School to the dynamic experiential learning at Sentia – The Global School, there's a perfect fit for every student.
However, if you're looking for an institution that not only imparts knowledge but also nurtures character, creativity, and critical thinking, Meru International School is the place to be. Your child's journey towards excellence begins here. Enrol them at Meru International School, and watch them thrive in an environment where learning knows no bounds.
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CBSE Class 12 Maths Revision Notes
Class 12 Maths Notes: Class 12 Maths Notes is designed to help for the students who are going to appear final exams, students can read this CBSE Class 12 Maths Revision Notes before going to exam to cover all chapters and topics in last minute and can easily revise all chapters of class 12 Maths. Important topics like Trigonometry, integrals, equations and three-dimensional geometry has been included in Class 12 Maths Notes. For CBSE Students board exams will be conducted by NCERT. Class 12 Maths Notes has been designed on the basis of the latest NCERT syllabus textbooks. So students can check CBSE Class 12 Maths Quick Revision Notes and can download the solutions in PDF’s format as well. Students can practice the Class 12 Maths Revision Notes to gain more knowledge.
Class 12 Maths consists of 13 Chapter below is the list of chapter Names.
Chapter 1: Relations and Functions Chapter 2: Inverse Trigonometric Functions Chapter 3: Matrices Chapter 4: Determinants Chapter 5: Continuity and Differentiability Chapter 6: Application of Derivatives Chapter 7; Integrals Chapter 8: Application of Integrals Chapter 9: Differential Equations Chapter 10: Vector Algebra Chapter 11: Three Dimensional Geometry Chapter 12: Linear Programming Chapter 13: Probability
Students can download the PDF’s of Class 12 Maths Revision Notes. The Class 12 Maths Notes will also help in understanding the chapters properly as it will contain the important points for revision purpose in short times
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Best Business Studies Coaching for Class 11th in Jaipur

Online & Offline Classes for Class 11 Business Studies
CP Classes offers the best classes for business studies for Class 11th commerce students under the guidance of Divita Agarwal having an experience of 6+ years in the field of professional mentoring.
Learning Modes:
The following modes of study are available on our Business Studies classes:
· Face-to-Face Classes (at our Jaipur Campus)
· Google Drive Lectures (All India & Abroad)
· Pen Drive Lectures (All India)
What is Business Studies? Business studies is an academic subject taught in schools and at university level in many countries. Its study combines elements of accountancy, finance, marketing, organisational studies and operations.
Coaching Classes for Business Studies:
Luckily, you’ve landed to the right place If you are looking for Class 11th Business Studies Classes for CBSE and other State Boards.
BSt. is theoretical subject in Class 11th Commerce with a practical application. For those students who plan to study commerce, Business Studies is an integral part of the student’s syllabus. Business studies require you to memorise a lot of business laws and trade sanctions. CP Classes is the most recommended Commerce Institute in Malviya Nagar in Jaipur. The faculties of the institute have 12+ years of experience.
NCERT Solutions of Class 11 Business Studies is available in a study material and video lecture format for the student’s convenience. Class 11 NCERT Business Studies Solutions have been designed to provide the best assistance to the students as they prepare for the exams. Business Studies is a subject that requires in-depth practical knowledge of concepts and the topics. Hence, these help the student to understand the concept in a better and more reliable way. Moreover, it clears out doubts in the minds of the students while reading the complete chapters. This not only helps the students to get good marks but also help them to get a solid foundation for the upcoming classes.
For class 11 students to understand the business operations as well as gaining targeted skills in your specific field, such as customers, markets, finance, operations, strategy, business policy, communications, etc, CP Classes conducts the best business studies class 11 lectures. NCERT Business Studies for Class 11 Book, is the best-recommended book for students to get a better understanding of the subject in a detailed way.
Why Commerce Paathshala is Best for Class 11 Business Studies?
· Personalised, Conceptual & Quality Teaching
· Coverage of the entire syllabus with complete comprehension
· Quality Notes help students learn more effectively and speed up the revision process.
· Mock Tests are provided on a regular basis to measure students’ performance.
· For each lecture, a video backup is also available.
· Special Doubt Clearing Session
While doing this, we would also ensure that, Class 11th Business Studies Classes at Commerce Paathshala covers all NCERT topics as per the updated CBSE Class 11 Business Studies syllabus for 2021-22.
Our Pen Drive Classes & Google Drive Classes
Class 11 Business Studies Video Lectures, is another option for our students to learn the concepts easily of the entire CBSE or State Boards Class 11th Business Studies Syllabus.
Our video lectures for BSt. are very adequate for Class 11th students in the CBSE or any State Board. We also provide study material through PDFs. We always look forward to help students in providing in-depth knowledge regarding the syllabus, books, marking scheme, and question paper, sample papers etc.

Class 11 Accounts Economics Business Classes
₹14,000
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CBSE Notes Class 12 Maths
Here we provide CBSE Notes for Class 12 Maths for English medium students, Which will very helpful for every student in their exams. Students can download the latest CBSE Notes for Class 12 Maths pdf.
Class 12 Maths Notes pdf Download For All Chapter
Chapter 1 – Functions and Relations Chapter 2 – Inverse Trigonometric Functions Chapter 3 – Matrices Chapter 4 – Determinants Chapter 5 – Continuity And Differentiability Chapter 6 – Application of Derivatives Chapter 7 – Integrals Chapter 8 – Application of Integrals Chapter 9 – Differential Equation Chapter 10 – Vector Algebra Chapter 11 – Three Dimensional Geometry Chapter 12 – Linear Programming Chapter 13 – Probability
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class 9 maths
The class 9 maths study material is available in PDF format which can be easily downloaded from our site. One can also access a very specific and examination focused strategy for class 9 maths by just simple signup at Entrancei. The sole idea has been to create a most accurate and detailed solution for class 9 maths that is free of cost. The experienced teachers at Entrancei have very extensively revealed the complete class 9 maths content. They have completely made sure all that is provided is important with respect to examinations. The class 9 maths solutions can be easily utilized for scoring good marks as one can reliably practice form them.
All the class 9 maths notes prepared as per the guidelines of CBSE Syllabus and guidelines. One can also go through test services for class 9 maths as it will help in gauging out the overall progress. The choosing union the class 9 maths optimum solutions helps in acing the students with the atmosphere of examination.
As general pattern, the class 9 maths should be taken very seriously as it helps in building strong concepts for further boards in 10th. The completecategorization of the syllabus of class 9 maths has been done in chapters, which helps students to easily go through it.
Ø Chapter 1: Number systems
This chapter throws light upon number lines and how effectively they can be used. The class 9 maths solutions provided helps the students regarding laws of integral and rational powers of real numbers.
Ø Chapter 2: Polynomials
The class 9 maths solutions to this unit give a vivid explanation about polynomials and their detailed terminologies. One will be acknowledged with various types of polynomials such as linear, Constant, quadratic and cubic polynomials.
Ø Chapter 3: Coordinate Geometry
This chapters in class 9 maths help the students in understanding the concepts of Cartesian place and coordinates.
Ø Chapter 4: Linear Equations in two Variables
This chapter in class 9 maths helps the students in understanding the equations presented in two variables. Plotting the equations on graph has been explained in a very detailed format in class 9 maths solutions provided.
Ø Chapter 5: Introduction to Euclid’s Geometry
This chapter of class 9 maths throws minor lights upon how Indian history is associated with Geometry followed in the world. One will be explained regarding the geometry through axiom, Postulates, and Theorems of class 9 maths in detailed format.
Ø Chapter 6: Lines and Angles
The chapter as lines and angles is generally asked as theorems and postulates in class 9 mathsexaminations. The level of difficulty is very minor compared to other units.
Ø Chapter 7: Triangles
In this chapter of class 9 maths, you will study regarding the congruence of triangles and their associating theorems. This chapter of class 9 maths has various properties such as inequalities and properties in triangles.
Ø Chapter 8: Quadrilaterals
This chapter of class 9 maths comprises of only one theorem as proof. Questions asked in this chapter are relatively very easy.
Ø Chapter 9: Areas of Parallelograms and Triangles
One will be brought to the note of areas in geometrical shapes. The examples of the median can be used in various examples of this in class 9 maths of chapter.
Ø Chapter 10: Circles
This chapter of class 9 maths gives brief insights about subtended angle chord, equal chords, Arc of the circle, cyclic quadrilaterals. This detailed solution of theorems based on triangles, Quadrilaterals, and circles are based in this chapter.
Ø Chapter 11: Constructions
This chapter throws light upon bisecting and creating line segments to angles and lines. The student’sclass 9 maths would be learning the creation of triangles with different properties and different base angles.
Ø Chapter 12: Heron’s formula
This chapter of class 9 maths comprises of only three exercises. This chapter givesan extension to the application of heron’s formula in polygons and quadrilaterals and triangles.
Ø Chapter 13: Surfaces Areas and Volumes
The students need not be introduced with this topic as they well studied the mensuration in their earlier classes. One would be acknowledged with volumes of cubes, cylinders, spheres, cones, and the hemisphere’s in their class 9 maths syllabus.
Ø Chapter 14: Statistics
The statistics chapter of class 9 maths is like a simple method of collection of data in different aspects. In total, this chapter of class 9 maths helps one to find the measure of central tendency, mean, median and mode of any raw data provided.
Ø Chapter 15: Probability
With only about 1 exercise in class 9 maths, this chapter is very easy. This is based on observation and frequency of day to day examples.
Why choose Entrancei
There might be times when students are stuck with exercises, so there comes the team of Entrancei with an innovative solution to class 9 maths students. The students can any time give a call in order to get their doubts resolved associated with class 9 maths.
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I’ve not really seen anyone discuss how to get through the CBSE system, and as someone who studies in India, it’s kind of hard when none of the resources available really apply to the way you have to study. So today, I’ve decided to talk about the way CBSE works so that you can maximize your grades! :) maybe I’ll make this a series idk.
CBSE (The Central Board of Secondary Education) is one of the two most popular boards in India. It is certified by the National Council of Educational Research Training. Up until last year, the pattern being followed was called the CCE pattern. However, the pattern has been switched this year, making everything very confusing, so I’m going to explain.
(CBSE as a board has a lot of issues which I’m not going to get into but um yeah)
Firstly, let’s talk about board examinations. Board exams are public exams that occur simultaneously across the country. They are NOT exclusive to CBSE, but are an integral part of it. Board exams in CBSE are held in class 10 and class 12 and the marks acquired in those exams directly impact a student’s future. Here’s the link to the Wikipedia article.
As I have not given my boards yet, I don’t really have experience with this. However, I might do a post with tips for the boards later, with advice my seniors have given me.
Now, I’m going to talk about how marks will be given when boards are not in the equation and how they will add up to get the final percentage. So, marks are distributed in the following ways:
Subject Enrichment - 5 marks Notebook - 5 marks Periodic Evaluation - 10 marks Finals - 80 marks
Subject Enrichment: Subject enrichment refers to the activities conducted in classes. This means ASL (Assessment of speaking and listening skills) for English and Hindi, the lab work for the sciences, proving properties in geometry for Maths and a presentation for Social Science. It’s pretty easy to score in these and you can honestly get full marks with some effort.
Notebooks: Yes, you are given marks for the notebooks. (The notebooks are basically questions and answers given by the teachers) It’s slightly harder to get full marks in this but as long as your notebook is complete, you’ll probably be able to get at least a 3.5 out of 5. To get full marks, your notes have to be pretty, decorated and all of that shebang.
Periodic Evaluation: Throughout the year, you are evaluated four times. One of those four times is the final exams, which I’m going to talk about later. The remaining three evaluations are Unit Test - 1, Midterms and Unit Test - 2. The Unit Tests are 40 marks each and the Midterms are 80 marks. The two tests in which you perform the best are the ones that count. Their average is taken and then it’s converted into marks out of ten. The good thing is that if you don’t do particularly well on any one test, that grade can always be dropped if you work super hard.
Finals: Finals are 80 mark papers which have questions from the WHOLE syllabus which are held at the end of the year. It is IMPERATIVE to get good marks in the finals if you want a great grade. It might be stressful, but the periodic evaluations should have covered at least 3/4 of the syllabus.
So, this was just a breakdown of how the new system works. I might talk abut how to optimize your performance soon, but i feel like this is important information, as many people STILL don’t know how this works.
I’m going to tag some studyblrs because I really want this to reach people because it’s very hard to find resources for CBSE.
@athenastudying, @studyblr, @hufflepuffwannabe, @lawandcoffee, @procrastilate, @optomstudies
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