Die Heuning Pot Literature Guide
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Introduction to Indefinite Integrals - At A Glance:

Use integration by parts when the integrand factors into two things that both include the variable, but integration by substitution doesn't work!

Sample Problem

We can use integration by parts on

because we can factor the x2 to get

and choose u = x and v' = xex2.

Sample Problem

We wouldn't use integration by parts on

because this integral begs for substitution.

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