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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 75e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 75e

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# Solved: Rational functions of trigonometric functions An

ISBN: 9780321570567 2

## Solution for problem 75E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Problem 75E

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 x = 2 tan?1 u. The following relations are used in making this change of variables.A: B: C: Evaluate .

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Solution:-Step1Given thatAn 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 x = 2 tan1 u. The following relations are used in making this change of variables.A: B: C: Step2To find thatEvaluate .Step3Substitute the value of x=2dx=Cos x=Step4Integrate= = = = = = = -cot(+C Therefore, = -cot(+C

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