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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 76e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 76e

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# Rational functions of trigonometric functions | Ch 7.4 - 76E ISBN: 9780321570567 2

## Solution for problem 76E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Problem 76E

Problem 76E

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 76E

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 or The following relations are used in making this change of variables:
A: B: C: Evaluate Solution:-
Step 1 (Making the indicated substitutions in the integral)
= = = = = Since , the integral now becomes, Thus, the value of the integral is Step 2 of 1

##### ISBN: 9780321570567

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