“LIPET” … is a guideline for which part to make u. L = logarithm functions. I = inverse trig functions. P = polynomial functions. E = exponential functions.

This method of integration can be thought of as a way to undo the product rule. One of the difficulties in using this method is determining what function in our integrand should be matched to which part. The LIPET acronym can be used to provide some guidance on how to split up the parts of our integral.