July 2023
Beginner to intermediate
304 pages
6h 41m
English
Content preview from Calculus II Workbook For Dummies
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Chapter 9
Integration by Parts
IN THIS CHAPTER
Understanding the formula for integration by parts
Knowing how to assign u and dv values
Evaluating integrals by applying integration by parts multiple times
Integration by parts provides a formula for rewriting integrals in a way that makes evaluating them more accessible. It allows you to integrate a function by splitting it into factors, differentiating one factor and integrating the other, and then piecing together the results.
In this chapter, I first show you the formula for integration by parts to give you practice using it. Next, I give you guidance on when and how to use this strategy. Finally, you see how to apply integration by parts more than once to evaluate a single integral.
Using the Formula for Integration by Parts
Here’s the formula for integration by parts:
In this formula, both u and v are functions of x.
Integration by parts is commonly used to integrate a product of two functions. For example:
Q. Evaluate
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