JEEA-09 — JEE Advanced Math — Indefinite Integration

JEE Advanced Math — Indefinite Integration

Indefinite integration for JEE Advanced aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Apply Euler substitutions to integrate functions involving square roots of quadratic expressions [Apply]
  2. Derive reduction formulas for powers of sin, cos, sec, tan, and exponential-trigonometric integrands [Create]
  3. Analyze integrands to choose between substitution, parts, and partial-fraction decomposition [Analyze]
  4. Evaluate integrals via term-by-term integration of power series expansions [Evaluate]
  5. Investigate special integrals such as those involving (a + b sin x) or (a + b cos x) denominators [Analyze]
  6. Solve JEE Advanced multi-step problems requiring composite integration techniques [Evaluate]

📚 Chapters

  1. Standard Integrals and Substitution
  2. Integration by Parts and Reduction Formulae
  3. Partial Fractions
  4. Integration of Rational Functions
  5. Integration of Trigonometric Functions
  6. Integration of Irrational Functions
  7. Special Integrals and Algebraic Manipulations
  8. Integration via Series Expansions
  9. Mixed Advanced Problems

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