Evaluate the integral: Xx= x = = 6 sin(0) 13√x²2 - 36 x4 (A) Which trig substitution is correct for this integral? = 13 sin(0) [131 x = -dx = 36 sec (0) X= 6 tan (0) X = 6 sec (0) X= 36 tan (0) (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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate the integral:
X =
J
13√x² - 36
X =
x²
(A) Which trig substitution is correct for this integral?
= 13 sin(0)
-dx
= 6 sin(0)
X = 36 sec (0)
X = 6 tan (0)
x = 6 sec (0)
X = 36 tan (0)
(B) Which integral do you obtain after substituting for x and simplifying?
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?
+ C
Transcribed Image Text:Evaluate the integral: X = J 13√x² - 36 X = x² (A) Which trig substitution is correct for this integral? = 13 sin(0) -dx = 6 sin(0) X = 36 sec (0) X = 6 tan (0) x = 6 sec (0) X = 36 tan (0) (B) Which integral do you obtain after substituting for x and simplifying? 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? + C
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