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Integration by Parts

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Eli
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#1

Integration by Parts is a method of integration, often useful when an integrand can be expressed as a multiplication of two functions.

The method uses the formula

, where are the two functions.

Example

Evaluate the following integral



Solution

We apply the formula , where

From , we have . To find out why this is true:

,





Differentiating both sides,

(you can make subject and then take derivative)

.

Now,



, where is constant.

Simplifying, we get

.

Any question/comment?
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