In this section, we will begin investigating some more advanced techniques for integration – specifically, integration by parts.

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Presentation transcript:

In this section, we will begin investigating some more advanced techniques for integration – specifically, integration by parts.

Integration by Parts is essentially a product rule for antidifferentiation. It comes from the product rule from derivatives, as we will see in the proof of the theorem.

If u and v are differentiable functions, then 1. 2.

dv should be selected so that v can be found by antidifferentiating Also, should be simpler to work with than the original integral. !!! Do not forget to consider a variable substitution before using any more advanced technique.

Find