GyanGhar GyanGhar

Class 12 · Math · Chapter 7

Integrals

This chapter introduces integration as the inverse process of differentiation. It covers various techniques for finding indefinite integrals, including substitution, partial fractions, and integration by parts. It then transitions to definite integrals, introducing the Fundamental Theorem of Calculus and the powerful properties of definite integrals used to evaluate complex areas and functions.

10 sections · ~835 min read · Free, no login needed
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Topics in this chapter

  1. 1

    Integration as an Inverse Process of Differentiation

    45 min read · Quiz included

  2. 2

    Methods of Integration: Substitution and Trigonometric Identities

    60 min read · Quiz included

  3. 3

    Integrals of Some Particular Functions and Partial Fractions

    60 min read · Quiz included

  4. 4

    Integration by Parts

    60 min read · Quiz included

  5. 5

    Definite Integral and Fundamental Theorem of Calculus

    50 min read · Quiz included

  6. 6

    Properties of Definite Integrals

    60 min read · Quiz included

  7. 7

    Solved Examples

    150 min read

  8. 8

    Questions and Answers (Board Exam)

    180 min read

  9. 9

    PYQ (JEE Main & Advanced)

    150 min read · Quiz included

  10. 10

    Summary

    20 min read