Trigonometry Workbook For Dummies
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Sometimes if you use integration by parts twice, you get back to where you started from — which, unlike getting lost, is not a waste of time.

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First, use the LIATE mnemonic device to pick your u:

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To pick your u, go down this list in order; the first type of function on this list that appears in the integrand is the u.

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Now fast forward to the formula step:

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Now, substitute the right side of the above equation for the

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from the original solution:

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You can now solve this equation for the integral

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Use I in place of that integral to make this messy equation easier on the eyes:

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Add I to both sides:

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Multiply both sides by 1/2:

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About This Article

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About the book author:

Mary Jane Sterling taught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois, for more than 30 years. She is the author of several For Dummies books, including Algebra Workbook For Dummies, Algebra II For Dummies, and Algebra II Workbook For Dummies.

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