### 7.1 Integration of Parts

You should remember that the product rule is :

By rearranging this equation you see that:

By using the substitution rule and replacing u for f(x), v for g(x), du for f'(x)dx, and dv for g'(x)dx, you will see that the formula for integreation of parts becomes:

Let's look at a couple of examples!

1)

Choose your simplest component for u. In this case that would be x. Make a table of your u, du, v, and dv.

Choose your simplest component for u. In this case that would be x. Make a table of your u, du, v, and dv.

Now try a problem!

Now plug this equation back into the end of the first integration of parts:

Here is a good site for Integration of Parts:

http://www.sosmath.com/calculus/integration/byparts/byparts.html

http://www.sosmath.com/calculus/integration/byparts/byparts.html

Saladang Song: My obsession with food has led me to this great Thai restaurant. I highly recommend it (especially the Yellow Curry) and it's very well priced.

363 S Fair Oaks Ave (Cross Street: W Bellevue Drive)Pasadena, CA 91105

363 S Fair Oaks Ave (Cross Street: W Bellevue Drive)Pasadena, CA 91105

Kyle, you're up next!

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