You will show that the following improper integral converges to 1 (a) Use the Fundamental Theorem to find b 1 1x 2 dx Your answer will contain b (b) Now take the limit as b What does this tell you about the improper integral 00 1dx x...

a b Taking a limit we have Since the lim ...

You will show that the following improper integral converges to 1: (a) Use the Fundamental Theorem to

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You will show that the following improper integral converges to 1:

(a) Use the Fundamental Theorem to find ∫^b₁ 1∕x² dx. Your answer will contain b.
(b) Now take the limit as b → ∞. What does this tell you about the improper integral?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 12, 2023 03:15 AM

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You will show that the following improper integral converges to 1: (a) Use the Fundamental Theorem to

Question:

00 1dx. x²

Step by Step Answer:

a b Taking a limit we have Since the lim...View the full answer

Applied Calculus

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