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Unformatted text preview: Subtract ( ) ( ) f x g x from both sides. Integrate both sides. Note that one antiderivative of [ ] ( ) ( ) f x g x is ( ) ( ) f x g x . The equation in the box is the formula for integration by parts. Use integration by parts to integrate a function that has two parts, one part that is easy to differentiate and one part that is easy to integrate. The formula for integration by parts is often rewritten so that = ( ) g x u and = ( ) f x v . In this case, u is easily differentiable and dv is easily integrable. When written this way, integration by parts can be thought of as a love affair between the two functions, u and v ....
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.
- Spring '10