Toppers Notes on Definite Integrals

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Table of Content

  • First fundamental theorem on definite integrals.
  • Properties of definite integration.
  • Inequalities in the definite integrals.
  • Leibniz’s rule of the definite integral.
  • Modified Leibniz’s rule of the definite integral.
  • Summation of series using definite integral.
  • Improper integrals.
  • Beta and Gamma functions.
  • Properties of Beta and Gamma functions.
  • Walli’s theorem.
  • Curve tracing.
  • The area under curves.
  • The parametric form of the area under curves.
  • The area under curves in polar form.