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Rational functions of trigonometric functions | Ch 7.4 - 77E

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

Solution for problem 77E 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 77E

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 77ERational 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 1Making the indicated substitutions in the integral, we get = = = = (Adding and subtracting 1 in denominator)= () = = = = = Substituting back the value of we get = Thus, the value of the integral is .

Step 2 of 3

Chapter 7.4, Problem 77E is Solved
Step 3 of 3

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

The full step-by-step solution to problem: 77E from chapter: 7.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 77E from 7.4 chapter was answered, more than 247 students have viewed the full step-by-step answer. The answer to “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 .” is broken down into a number of easy to follow steps, and 50 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: functions, tan, Trigonometric, rational, integrand. This expansive textbook survival guide covers 112 chapters, and 5248 solutions.

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Rational functions of trigonometric functions | Ch 7.4 - 77E