Difference between revisions of "009B Sample Final 2, Problem 1"

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::<span class="exam">a) State '''both parts''' of the Fundamental Theorem of Calculus.
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<span class="exam">(a) State '''both parts''' of the Fundamental Theorem of Calculus.
  
::<span class="exam">b) Evaluate the integral
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<span class="exam">(b) Evaluate the integral
  
::::<math>\int_0^1 \frac{d}{dx} \bigg(e^{\tan^{-1}(x)}\bigg)dx</math>
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::<math>\int_0^1 \frac{d}{dx} \bigg(e^{\tan^{-1}(x)}\bigg)dx</math>
  
::<span class="exam">c) Compute
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<span class="exam">(c) Compute
  
::::<math>\frac{d}{dx}\int_1^{\frac{1}{x}} \sin t~dt</math>
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::<math>\frac{d}{dx}\int_1^{\frac{1}{x}} \sin t~dt</math>
  
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<hr>
!Foundations: &nbsp;
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[[009B Sample Final 2, Problem 1 Solution|'''<u>Solution</u>''']]
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'''Solution:'''
 
  
'''(a)'''
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[[009B Sample Final 2, Problem 1 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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'''(b)'''
 
 
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'''(c)'''
 
 
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!Final Answer: &nbsp;
 
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[[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]
 
[[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 17:24, 2 December 2017

(a) State both parts of the Fundamental Theorem of Calculus.

(b) Evaluate the integral

(c) Compute


Solution


Detailed Solution


Return to Sample Exam