Integration by Parts**

  • In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative.

  • It is frequently used to transform the antiderivative of a product of functions into an antiderivative for which a solution can be more easily found.

  • The rule can be thought of as an integral version of the product rule of differentiation.

  • Prerequisite Understanding:

    • Derivative Rules

    • Basic Integration Rules

    • Integration by Substitution

Essential Questions

How are indefinite integrals evaluated using product rule?