1. (a) Rewrite the indefinite integral § x³√9 – x² dx completely in terms of 0, sin(0), and cos (8) by using the trig substitution x = 3 sin(0). (b) Finish evaluating the integral you found in part (a) and then evaluate the original integral fx³√9 - x² dx in terms of x.
1. (a) Rewrite the indefinite integral § x³√9 – x² dx completely in terms of 0, sin(0), and cos (8) by using the trig substitution x = 3 sin(0). (b) Finish evaluating the integral you found in part (a) and then evaluate the original integral fx³√9 - x² dx in terms of x.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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![1. (a) Rewrite the indefinite integral [x³√9 - x² dx completely in terms of 0, sin(0),
and cos (8) by using the trig substitution x = 3 sin(0).
(b) Finish evaluating the integral you found in part (a) and then evaluate the
original integral fx³√9 - x² dx in terms of x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85bfd6e1-b549-4f1a-a4fe-c9b20b4a6ca6%2F28d0a412-2f07-4660-8b4a-885e371b317c%2Fpgwtp58_processed.png&w=3840&q=75)
Transcribed Image Text:1. (a) Rewrite the indefinite integral [x³√9 - x² dx completely in terms of 0, sin(0),
and cos (8) by using the trig substitution x = 3 sin(0).
(b) Finish evaluating the integral you found in part (a) and then evaluate the
original integral fx³√9 - x² dx in terms of x.
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