Science:Math Exam Resources/Courses/MATH101/April 2016/Question 2 (b)
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Question 2 (b) 

Which integral equals ?

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 , where . Compare the given summation with the above formula to find and then . 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. By the definition of the integral as a summation we have
Now comparing this with the question we see that so we must have So far we know that the interval of the integration has length 2. Also note that Now let's see what is: Again compare the formula with the question
we see that and since , so we have now we have all the elements of the integral therefore
