Multiple Choice (Choose the best answer): For the integral f sin³ x cos³x dx, a. The substitution u = sin x will work, but u = cos x will not. b. The substitution u = cos x will work, but u sin x will not. c. Either substitution u = sin x or u = cos x will work, but u = sin x would be easier. d. Either substitution u = sin x or u = cos x will work, but u = cos x would be easier.
Multiple Choice (Choose the best answer): For the integral f sin³ x cos³x dx, a. The substitution u = sin x will work, but u = cos x will not. b. The substitution u = cos x will work, but u sin x will not. c. Either substitution u = sin x or u = cos x will work, but u = sin x would be easier. d. Either substitution u = sin x or u = cos x will work, but u = cos x would be easier.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Integration Technique: Substitution
**Multiple Choice (Choose the best answer):**
For the integral
\[
\int \sin^8(x) \cos^3(x) \, dx,
\]
a. The substitution \( u = \sin x \) will work, but \( u = \cos x \) will not.
b. The substitution \( u = \cos x \) will work, but \( u = \sin x \) will not.
c. Either substitution \( u = \sin x \) or \( u = \cos x \) will work, but \( u = \sin x \) would be easier.
d. Either substitution \( u = \sin x \) or \( u = \cos x \) will work, but \( u = \cos x \) would be easier.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff015db4-0da8-42fc-9d60-01a672218c35%2F816228b9-f1ae-4b44-8376-c4ffd1ba3925%2Fg83rlx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Integration Technique: Substitution
**Multiple Choice (Choose the best answer):**
For the integral
\[
\int \sin^8(x) \cos^3(x) \, dx,
\]
a. The substitution \( u = \sin x \) will work, but \( u = \cos x \) will not.
b. The substitution \( u = \cos x \) will work, but \( u = \sin x \) will not.
c. Either substitution \( u = \sin x \) or \( u = \cos x \) will work, but \( u = \sin x \) would be easier.
d. Either substitution \( u = \sin x \) or \( u = \cos x \) will work, but \( u = \cos x \) would be easier.
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