integration by parts

Integration by parts is a method used to evaluate integrals involving the product of two functions by transforming the original integral into a different one that may be easier to solve. This technique relies on the relationship between the integral of the product of two functions and the integral of their derivatives and antiderivatives, allowing for a strategic choice of which function to differentiate and which to integrate.

Conditions and Properties

Integration by parts is a method that transforms the evaluation of an integral involving the product of two functions into a different integral that may be easier to evaluate. The process effectively exchanges the original integral for a new one, which can sometimes be more straightforward to solve.

Notes & references