009B Sample Midterm 1, Problem 4

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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:  
  

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