Integration by partsBy the Product Rule for Derivatives, . Thus, . This formula for integration 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 and and . Thus, .
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.
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