Trigonometry Workbook For Dummies
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Here’s how you integrate a trig integral that contains tangents and secants where the tangent power is odd and positive. You’ll need the tangent-secant version of the Pythagorean identity:

  1. Lop off a secant-tangent factor and move it to the right.

    First, rewrite the problem:

  2. Convert the remaining (even) tangents to secants with the tangent-secant version of the Pythagorean identity.


    Now make the switch.

  3. Solve with the substitution method with u = sec(x) and du = sec(x) tan(x)dx.


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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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