Science:Math Exam Resources/Courses/MATH105/April 2017/Question 01 (f)
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Question 01 (f) 

Let . Find the derivative of . 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Recall the Fundamental Theorem of Calculus. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Note that our integrand is an even function, so Then by the Fundamental Theorem of Calculus, we have 