9x² – 25 Evaluate the integral: x3 (A) Which trig substitution is correct for this integral? 5 -sin(0) 3 3 -sec(0) -sec(0) 3 1 -sec(0) 25 -sec(0) (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 0? 9 + C 10 (D) What is the value of the original integral in terms of x? Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another inverse trig function when you fill in your answer below. + C

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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9x2
- 25
dx
Evaluate the integral:
(A) Which trig substitution is correct for this integral?
5
-sin(0)
3
3
-sec(0)
-sec(0)
3
1
-sec(0)
25
-sec(0)
(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 0?
+ C
10
(D) What is the value of the original integral in terms of x?
Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another
inverse trig function when you fill in your answer below.
+ C
Transcribed Image Text:9x2 - 25 dx Evaluate the integral: (A) Which trig substitution is correct for this integral? 5 -sin(0) 3 3 -sec(0) -sec(0) 3 1 -sec(0) 25 -sec(0) (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 0? + C 10 (D) What is the value of the original integral in terms of x? Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another inverse trig function when you fill in your answer below. + C
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