Consider the improper integral (a) Use a calculator or computer to find b 1 1(x) dx for b 100, 1000, 10,000 What do you notice (b) Find b 1 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 00 J x dx

Question: Consider the improper integral (a) Use a calculator or computer to find b 1 1(x) dx for b = 100, 1000, 10,000. What do

Consider the improper integral

00. J x dx.

(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?

00. J x dx.

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