Difference between revisions of "009B Sample Midterm 1, Problem 4"

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!Final Answer:    
 
!Final Answer:    
 
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| &nbsp;&nbsp; <math>\frac{\cos^5x}{5}-\frac{\cos^3x}{3}+C</math>
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|&nbsp;&nbsp; <math>\frac{\cos^5x}{5}-\frac{\cos^3x}{3}+C</math>
 
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[[009B_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]
 
[[009B_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]

Revision as of 15:08, 18 April 2016

Evaluate the integral:


Foundations:  
1. Recall the trig identity:
2. How would you integrate
You could use -substitution. Let Then, Thus,

Solution:

Step 1:  
First, we write
Using the identity we get
If we use this identity, we have
Step 2:  
Now, we use -substitution. Let Then, Therefore,
Final Answer:  
  

Return to Sample Exam