Evaluate the integral: Ox= (A) Which trig substitution is correct for this integral? 4 Ox= - sec (0) Ox= Ox= Or 25 16 5 4 -sin(0) 1 16 5 sec (0) 4 sec (0) 16x² - 25 x³ sec (0) -dx (B) Which integral do you obtain after substituting for ? Note: to enter , 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? 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Evaluate the integral:
X =
(A) Which trig substitution is correct for this integral?
4
Ox=
- sec (0)
Ox=
Ox=
Ox
=
5
25
16 sec (0)
5
sin (0)
16 sec (8)
5
16x² - 25
x³
sec (0)
-dx
(B) Which integral do you obtain after substituting for a?
Note: to enter , type the word theta.
do
(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?
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:Evaluate the integral: X = (A) Which trig substitution is correct for this integral? 4 Ox= - sec (0) Ox= Ox= Ox = 5 25 16 sec (0) 5 sin (0) 16 sec (8) 5 16x² - 25 x³ sec (0) -dx (B) Which integral do you obtain after substituting for a? Note: to enter , type the word theta. do (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? 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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