Integration by parts is essentially the reverse of the product rule. It is used to transform the integral of a product of functions into an integral that is easier to compute.

Integration by parts formula:

In this post we’ll cover some more advanced examples.

Let’s start with examples using both integration by parts and substitution (click here):

Here’s another example using integration by parts and substitution (click here):

Don’t forget to add a constant

Here’s a tricky one, using integration by parts twice and some manipulation (click here):

Here’s another tricky example (click here):

If you've gotten this far, you sure know how to integrate. Good job!

Cheers,

Michal