3x -2 4-x2

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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Consider the following integral:
3x
dx
Which of the following is the correct method to evaluate this integral?
A Make the u-substitution u =
x2
This integral is zero because the integrand is an odd function.
C Make the trig substitution x =
2 sin(0).
D
Make the trig substitution x =
sin(0)
E Make the u-substitution u =
4 – x2
-
F
This integral is divergent.
Factor the denominator into V(2 – x) (2+ x) and apply partial fraction decomposition.
Transcribed Image Text:Consider the following integral: 3x dx Which of the following is the correct method to evaluate this integral? A Make the u-substitution u = x2 This integral is zero because the integrand is an odd function. C Make the trig substitution x = 2 sin(0). D Make the trig substitution x = sin(0) E Make the u-substitution u = 4 – x2 - F This integral is divergent. Factor the denominator into V(2 – x) (2+ x) and apply partial fraction decomposition.
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