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Complete Integration Mastery for Class 12 Maths: Expert Guide to Conquer Integration in CBSE & JEE

Master the art of integration in Class 12 Maths for both CBSE and JEE aspirants. This comprehensive course covers everything from the basics of integration to advanced techniques, including special integrals, integration of trigonometric functions, and more. Perfect for students looking for an edge in their board and competitive exams.
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Last Updated:December 28, 2023
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About Course

Dive deep into the world of integration with our extensive 21-hour course tailored for Class 12 Maths students and JEE aspirants. This course thoroughly explores the integration meaning in math, offering detailed explanations and practical integration examples and solutions.

Starting with the definition of integration in maths, students will gain a solid understanding of fundamental concepts, including the integration formula, integration of tanx, and integration of log x. Our expert instructors guide learners through complex topics, such as integration of mod x and integration of trigonometric functions, making challenging concepts accessible and engaging.

This course is divided into focused lectures, beginning with an introduction to integration and advancing through various methods like transformation, substitution, and integration by parts. Each lecture, including Integration by Partial Fractions and Special Integrals (Trigonometric Integrals), is designed to enhance your understanding and application skills.

Key highlights of the course include:

  • Detailed walkthroughs of NCERT Chapter 7 topics, making it a perfect complement to your integration class 12 NCERT solutions.
  • Insightful coverage of types of integrals, preparing students for diverse mathematical challenges.
  • A blend of theoretical understanding and practical application, ensuring a well-rounded learning experience.

Whether you’re preparing for your Class 12 board exams or aiming to ace JEE, this course equips you with the knowledge and skills to excel in integration.

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What I will learn?

  • Comprehensive understanding of integration and its practical applications in math.
  • Mastery of integration techniques including substitution, transformation, and partial fractions.
  • Proficiency in solving complex integration problems, essential for CBSE and JEE exams.
  • Detailed knowledge of special integrals and integration of specific functions like tanx and log x.
  • Ability to apply integration methods to real-world scenarios and advanced math problems.
  • Enhanced problem-solving skills with integration examples and solutions.

Course Curriculum

Introduction to Integration
Introduction to Integration is a foundational lesson that delves into the concepts of integral calculus. It lays the groundwork for understanding how to find areas under curves, a vital skill for mastering advanced topics in mathematics for the CBSE, ICSE, and JEE curriculum.

  • Introduction to Integration Part 1
    46:44
  • Introduction to Integration Part 2
    50:36

Integration by Transformation
Integration by Transformation explores the technique of simplifying complex integrals by transforming them into more manageable forms. This lesson is key for students tackling advanced calculus problems in the JEE and board exams, enhancing their problem-solving skills in integral calculus.

Integration by Substitution
Integration by Substitution guides students through the process of simplifying integrals by substituting variables. This essential technique is a cornerstone in calculus, particularly useful for CBSE, ICSE, and JEE aspirants, to solve a variety of integral problems efficiently.

Integration of some particular function
Integration by Partial Fractions breaks down the method of decomposing complex rational functions into simpler fractions for easier integration. This lesson is crucial for students in CBSE, ICSE, and especially JEE aspirants, to master integration techniques for advanced calculus problems.

Integration by Partial Fractions
Integration by Partial Fractions breaks down the method of decomposing complex rational functions into simpler fractions for easier integration. This lesson is crucial for students in CBSE, ICSE, and especially JEE aspirants, to master integration techniques for advanced calculus problems.

Integration by Part
Integration by Parts demystifies the method of integrating products of functions, a pivotal concept in calculus. This lesson is especially beneficial for students preparing for CBSE, ICSE, and JEE, enhancing their toolkit for solving diverse and challenging integral problems.

Special Integrals (Trigonometric Integrals)
Special Integrals: Trigonometric Integrals focuses on mastering the integration of trigonometric functions, a key area in advanced calculus. This lesson is particularly beneficial for CBSE, ICSE, and JEE aspirants, equipping them with essential skills to tackle trigonometric problems effectively.

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Requirements

  • Basic knowledge of Class 11 Maths concepts.
  • Familiarity with differential calculus is advantageous.
  • Eagerness to learn and apply advanced mathematical techniques.
  • Commitment to practice and engage with course materials for 21 hours.
  • Access to Class 12 Maths NCERT textbooks for reference.

Instructor

Tarique Anwar
Tarique Anwar
Mathematics Instructor
Free
Free access this course

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