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

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(Created page with "<span class="exam">Consider the region bounded by the following two functions: ::::::::<span class="exam"> <math style="vertical-align: -5px">y=2(-x^2+9)</math> and <math styl...")
 
 
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<span class="exam">Consider the region bounded by the following two functions:
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<span class="exam">Does the following integral converge or diverge? Prove your answer!
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::::::::<span class="exam"> <math style="vertical-align: -5px">y=2(-x^2+9)</math> and <math style="vertical-align: -4px">y=0</math>.
 
  
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<span class="exam">a) Using the lower sum with three rectangles having equal width, approximate the area.
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::<math>\int_1^\infty \frac{\sin^2(x)}{x^3}~dx</math>
  
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<span class="exam">b) Using the upper sum with three rectangles having equal width, approximate the area.
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[[009B Sample Final 3, Problem 7 Solution|'''<u>Solution</u>''']]
  
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<span class="exam">c) Find the actual area of the region.
 
  
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[[009B Sample Final 3, Problem 7 Detailed Solution|'''<u>Detailed Solution</u>''']]
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!Foundations: &nbsp;
 
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'''Solution:'''
 
  
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'''(a)'''
 
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!Step 1: &nbsp;
 
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'''(b)'''
 
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!Final Answer: &nbsp;
 
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[[009B_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009B_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 17:49, 2 December 2017

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

Solution


Detailed Solution


Return to Sample Exam

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