Consider the improper integral (a) Use a calculator or computer to find b 1 1(x) dx
Question:
Consider the improper integral
(a) Use a calculator or computer to find ∫b1 1∕(√x) dx for b = 100, 1000, 10,000. What do you notice?
(b) Find ∫b1 1∕(√x) dx using the Fundamental Theorem of Calculus. Your answer will contain b.
(c) Now take the limit as b → ∞. What does this tell you about the improper integral?
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Related Book For
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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