65–68. Improper integrals Improper integrals arise in polar coordi- nates when the radial coordinate r becomes arbitrarily large. Under certain conditions, these integrals are treated in the usual way: [B [B (b (r. 0) r dr do = lim e(r. 0) r dr do. b Use this technique to evaluate the following integrals. dA Ris the first quadrant. (1 + x? + y?)²*
65–68. Improper integrals Improper integrals arise in polar coordi- nates when the radial coordinate r becomes arbitrarily large. Under certain conditions, these integrals are treated in the usual way: [B [B (b (r. 0) r dr do = lim e(r. 0) r dr do. b Use this technique to evaluate the following integrals. dA Ris the first quadrant. (1 + x? + y?)²*
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:65–68. Improper integrals Improper integrals arise in polar coordi-
nates when the radial coordinate r becomes arbitrarily large. Under
certain conditions, these integrals are treated in the usual way:
[B
[B (b
(r. 0) r dr do = lim e(r. 0) r dr do.
b
Use this technique to evaluate the following integrals.
dA
Ris the first quadrant.
(1 + x? + y?)²*
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