Difference between revisions of "009B Sample Final 3, Problem 6"

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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...")
 
(Replaced content with "<span class="exam"> Find the following integrals <span class="exam">(a)  <math>\int \frac{3x-1}{2x^2-x}~dx</math> <span class="exam">(b)  <math>\int \frac{\sqr...")
 
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<span class="exam">Consider the region bounded by the following two functions:
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<span class="exam"> Find the following integrals
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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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<span class="exam">(a) &nbsp;<math>\int \frac{3x-1}{2x^2-x}~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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<span class="exam">(b) &nbsp;<math>\int \frac{\sqrt{x+1}}{x}~dx</math>
  
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<span class="exam">c) Find the actual area of the region.
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[[009B Sample Final 3, Problem 6 Solution|'''<u>Solution</u>''']]
  
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'''Solution:'''
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[[009B Sample Final 3, Problem 6 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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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 17:47, 2 December 2017

Find the following integrals

(a)  

(b)  

Solution


Detailed Solution


Return to Sample Exam

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