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Rational functions of trigonometric functions | Ch 7.4 - 78E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 78E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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

Chapter 7.4, Problem 78E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Rational functions of trigonometric functions | Ch 7.4 - 78E