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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 73e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 73e

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# Solution: Rational functions of trigonometric functions An ISBN: 9780321570567 2

## Solution for problem 73E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Problem 73E

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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Step 1 of 3

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=Sin x=Step4Integrate= = = = = =+C =+CTherefor,=+C

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

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