009B Sample Midterm 1, Problem 4

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Evaluate the integral:


Foundations:  
Recall the trig identity:
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:  
  

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