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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 78e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 78e

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# Rational functions of trigonometric functions | Ch 7.4 - 78E

ISBN: 9780321570567 2

## Solution for problem 78E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Problem 78E

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 .

Step-by-Step Solution:

Problem 78ERational functions of trigonometric functionsAn integrand with trigonometric functions in the numerator and denominator can often be converted to a rational integrand using the substitution or The following relations are used in making this change of variables:A: B: C: Evaluate Solution:-Step 1Arranging the integral, we getMaking the indicated substitutions in the integral, we getSubstituting back , we getThus, the value of the integral is

Step 2 of 3

Step 3 of 3

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