JEEM-09 — JEE Main Math — Integral Calculus

JEE Main Math — Integral Calculus

Integral calculus (indefinite integration) for JEE Main aspirants.

📋 Course Learning Outcomes

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

  1. Apply standard antiderivative formulas to integrate algebraic, trigonometric, and exponential functions [Apply]
  2. Use substitution and trigonometric substitutions to evaluate non-standard indefinite integrals [Apply]
  3. Apply integration by parts including ILATE rule and recursive setups [Apply]
  4. Decompose rational functions into partial fractions and integrate each component [Apply]
  5. Analyze irrational integrands and select Euler or trigonometric substitutions appropriately [Analyze]
  6. Solve JEE Main MCQs on indefinite integration by matching integrand forms to standard templates [Apply]

📚 Chapters

  1. Integration as Anti-Derivative
  2. Standard Integrals
  3. Integration by Substitution
  4. Integration by Parts
  5. Integration of Rational Functions
  6. Integration of Trigonometric Functions
  7. Integration of Irrational Functions
  8. Partial Fractions
  9. Special Techniques and Reduction Formulae

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