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

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

Revision as of 18:16, 18 February 2017

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

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int_1^\infty \frac{\sin^2(x)}{x^3}~dx}
Foundations:  


Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  

(c)

Step 1:  
Step 2:  


Final Answer:  
(a)
(b)
(c)

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