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Concept explainers
Rational functions of trigonometric functions An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational integrand using the substitution u = tan (x/2) or equivalently x = 2 tan−1 u. The following relations are used in making this change of variables.
88. Verify relation A by differentiating x = 2 tan−1 u. Verify relations B and C using a right-triangle diagram and the double-angle formulas
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Chapter 7 Solutions
Calculus: Early Transcendentals (2nd Edition)
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
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