Integration by parts or partial integration is a process that finds the integral of a product of functions. The rule can be thought of as the product rule in reverse.

The integration by parts formula states:

Or, letting and while and , the formula can be written more compactly:

The former expression is written as a definite integral and the latter as an indefinite integral. 1

Derivation from the product rule

Footnotes

  1. Integration by parts - Wikipedia