# High School Calculus/Integration by Parts

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### Integration by Parts[edit]

When integrating products of algebraic and transcendental functions use integration by parts.

to determine which on you should choose for use the anagram I.L.A.T.E.

I.L.A.T.E. stands for Inverse, Logarithmic, Algebraic, Trigonometry, Exponential

This anagram is purely a guideline that will help you with picking the u and dv

**Ex. 1**

In order to integrate this we must use integration by parts

Using I.L.A.T.E. we choose to be equal to u

and

We also need and

Using the integration by parts theorem we get

It's important to be able identify what you're going to use for u

### Other Problems to Work On[edit]

**Ex. 2**

**Ex. 3**