16 – x2 dx - Evaluate the integral: 9x?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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/16
-
Evaluate the integral:
-dx
9x2
(A) Which trig substitution is correct for this integral?
Ox = 4 tan(0)
= 4 sin(0)
O x
16 sec(0)
16 sin(0)
4 sec(0)
16 tan(0)
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter 0, 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?
+ C
Question Help: D Video
Transcribed Image Text:/16 - Evaluate the integral: -dx 9x2 (A) Which trig substitution is correct for this integral? Ox = 4 tan(0) = 4 sin(0) O x 16 sec(0) 16 sin(0) 4 sec(0) 16 tan(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, 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? + C Question Help: D Video
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