Q1. Consider the improper integral S cos(x) (x+3)² dx. What type of improper integral is it, and why? A. It is an improper integral of Type 1 because one of the bounds is zero. B. It is an improper integral of Type 1 because one of the bounds is infinity. C. It is an improper integral of Type 2 because it has a discontinuity at x = -3. D. It is an improper integral of Type 2 because it has a discontinuity at x = 3. E. It is an improper integral of both Type 1 and Type 2 because one of the bounds is zero and because it has a discontinuity at x = 3. F. It is an improper integral of both Type 1 and Type 2 because one of the bounds is infinity and because it has a discontinuity at x = -3. G. It is not an improper integral.
Q1. Consider the improper integral S cos(x) (x+3)² dx. What type of improper integral is it, and why? A. It is an improper integral of Type 1 because one of the bounds is zero. B. It is an improper integral of Type 1 because one of the bounds is infinity. C. It is an improper integral of Type 2 because it has a discontinuity at x = -3. D. It is an improper integral of Type 2 because it has a discontinuity at x = 3. E. It is an improper integral of both Type 1 and Type 2 because one of the bounds is zero and because it has a discontinuity at x = 3. F. It is an improper integral of both Type 1 and Type 2 because one of the bounds is infinity and because it has a discontinuity at x = -3. G. It is not an improper integral.
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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Transcribed Image Text:Q1.
Consider the improper integral S
cos(x)
(x+3)²
dx. What type of improper integral is
it, and why?
A. It is an improper integral of Type 1 because one of the bounds is zero.
B. It is an improper integral of Type 1 because one of the bounds is infinity.
C. It is an improper integral of Type 2 because it has a discontinuity at x = -3.
D. It is an improper integral of Type 2 because it has a discontinuity at x = 3.
E. It is an improper integral of both Type 1 and Type 2 because one of the bounds is zero and
because it has a discontinuity at x = 3.
F. It is an improper integral of both Type 1 and Type 2 because one of the bounds is infinity and
because it has a discontinuity at x = -3.
G. It is not an improper integral.
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