Difference between revisions of "009B Sample Final 3, Problem 7"

Revision as of 18:16, 18 February 2017

Does the following integral converge or diverge? Prove your answer!

\int _{1}^{\infty }{\frac {\sin ^{2}(x)}{x^{3}}}~dx

Solution:

(a)

(b)

Step 1:

Step 2:

(c)

Step 1:

Step 2:

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 <span class="exam">Does the following integral converge or diverge? Prove your answer!
-::::<math>\int_1^\infty \frac{\sin^2(x)}{x^3}~dx</math>
+::<math>\int_1^\infty \frac{\sin^2(x)}{x^3}~dx</math>
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 '''Solution:'''
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