Evaluate the integral: Or= (A) Which trig substitution is correct for this integral? 2 Ox= 5 sec (0) Ox= Ox= Ox= 5 2 sin(0) 25 4 1 -sec (0) -sec(0) √4x² - 25 x³ 4 5 2 sec (0) dx (B) Which integral do you obtain after substituting for a Note: to enter 8, 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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Evaluate the integral:
0x =
Ox=
O
x =
(A) Which trig substitution is correct for this integral?
2
5 sec (0)
Ox=
5
2 sin(0)
25
4
1
|
- sec (0)
sec(0)
4x²
5
0x = 2 sec (0)
x3
25
-dx
(B) Which integral do you obtain after substituting for a
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?
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: 0x = Ox= O x = (A) Which trig substitution is correct for this integral? 2 5 sec (0) Ox= 5 2 sin(0) 25 4 1 | - sec (0) sec(0) 4x² 5 0x = 2 sec (0) x3 25 -dx (B) Which integral do you obtain after substituting for a 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? 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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