Integration by parts
By the Product Rule for Derivatives,
by parts often makes it possible to reduce a complicated integral involving a product to
a simpler integral. By letting
we get the more common formula for integration by parts: Example 9. Find
Let
It is possible that when you set up an integral using integration by parts, the resulting integral will be more complicated than the original integral. In this case, change your substitutions for u and dv.
|
. Thus,
. This formula for integration
.
.
and 
and 
. Thus,
.
