dx Evaluate the integral: 3/2 64 -

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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Question
dx
Evaluate the integral:
3/2
64 –
(A) Which trig substitution is correct for this integral?
1
sec(0)
1
-sin(0)
- sin(0)
8
-sec(0)
3
64
x =
-sec(0)
9.
64
-sin(0)
9.
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter 0, type the word theta.
de
(C) What is the value of the above integral in terms of 0?
+ C
(D) What is the value of the original integral in terms of x?
+ C
Transcribed Image Text:dx Evaluate the integral: 3/2 64 – (A) Which trig substitution is correct for this integral? 1 sec(0) 1 -sin(0) - sin(0) 8 -sec(0) 3 64 x = -sec(0) 9. 64 -sin(0) 9. (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of 0? + C (D) What is the value of the original integral in terms of x? + C
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