Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Please show how to get the answers for b-d

3. Consinder the indefinite integral f sin³(x) dx a) Explain why the substitution u = sin(x) will not work. b) Using the Pythagorean identity sin?x + cos² x = 1 write sin³ x as the product of sin x and some other function. c) Now use u = cos x and evaluate the integral. d) Use a similar approach to evaluate S cos³(x) dx
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Transcribed Image Text:3. Consinder the indefinite integral f sin³(x) dx a) Explain why the substitution u = sin(x) will not work. b) Using the Pythagorean identity sin?x + cos² x = 1 write sin³ x as the product of sin x and some other function. c) Now use u = cos x and evaluate the integral. d) Use a similar approach to evaluate S cos³(x) dx
cos³ x b. sin(x) (1 – cos² x) S sin°(x) dx = os" I. cos x + C 3 sin x d. ſ cos³(x) dx = sin x – * + C 3
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Transcribed Image Text:cos³ x b. sin(x) (1 – cos² x) S sin°(x) dx = os" I. cos x + C 3 sin x d. ſ cos³(x) dx = sin x – * + C 3
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