Evaluate the integral: O x = (A) Which trig substitution is correct for this integral? 7 X = x = x = 49 9 1 7 sin(0) 3 3 -sec (0) sec (0) S sec (0) sec (0) 9x² - 49 x3 -dx (B) Which integral do you obtain after substituting for x? Note: to enter , type the word theta. de (C) What is the value of the above integral in terms of ? (D) What is the value of the original integral in terms of x? + C + C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 70E
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Can you show me how to do parts b-d?

Evaluate the integral:
X =
X =
(A) Which trig substitution is correct for this integral?
7
Ox=
3
X =
X =
-sin(0)
49
9
1
9
-sec (0)
7
37
3
-sec (0)
-sec (0)
/=
√9x² - 49
x³
sec (0)
- dx
(B) Which integral do you obtain after substituting for x?
Note: to enter 0, type the word theta.
de
(C) What is the value of the above integral in terms of ?
(D) What is the value of the original integral in terms of x?
+ C
+ C
Transcribed Image Text:Evaluate the integral: X = X = (A) Which trig substitution is correct for this integral? 7 Ox= 3 X = X = -sin(0) 49 9 1 9 -sec (0) 7 37 3 -sec (0) -sec (0) /= √9x² - 49 x³ sec (0) - dx (B) Which integral do you obtain after substituting for x? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of ? (D) What is the value of the original integral in terms of x? + C + C
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