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

Evaluate . 
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 

First note that , and then use substitution for the rest of the question. 
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Solution 

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Let then Hence, we get
where is the constant of integration. Thus, plugging back, the value of the integral is 