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: L8(7. 0) r dr do – lim L8(r. 0) r år do. [B (b g(r, 0) r dr dº = lim 8(r, 0) r dr dº. b Ja Use this technique to evaluate the following integrals. dA; R = {(r, 0): 0 < r <.co,0 < 0 < } R
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: L8(7. 0) r dr do – lim L8(r. 0) r år do. [B (b g(r, 0) r dr dº = lim 8(r, 0) r dr dº. b Ja Use this technique to evaluate the following integrals. dA; R = {(r, 0): 0 < r <.co,0 < 0 < } R
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
Related questions
Question
![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:
L8(7. 0) r dr do – lim L8(r. 0) r år do.
[B (b
g(r, 0) r dr dº = lim 8(r, 0) r dr dº.
b Ja
Use this technique to evaluate the following integrals.
dA; R = {(r, 0): 0 < r <.co,0 < 0 < }
R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c844a8f-2482-4e0b-af3b-677edf67290a%2F58edae0e-bd1d-4fc1-9c6d-1a20b09df121%2Fzby3khb.png&w=3840&q=75)
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:
L8(7. 0) r dr do – lim L8(r. 0) r år do.
[B (b
g(r, 0) r dr dº = lim 8(r, 0) r dr dº.
b Ja
Use this technique to evaluate the following integrals.
dA; R = {(r, 0): 0 < r <.co,0 < 0 < }
R
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