Science:Math Exam Resources/Courses/MATH103/April 2005/Question 01 (c)
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Question 01 (c) 

Multiple Choice Question: Select ONE correct answer (i), (ii), (iii), (iv), or (v). (c) An approximation to the integral using n rectangles would be

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 hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. 
Hint 1 

This is a Riemann sum question. 
Hint 2 

Use the relationship between the Riemann sum of a function and its integral. This is given by
where and 
Checking a solution serves two purposes: helping you if, after having used all the hints, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. For The Riemann Sum approximation is where n represents the total number of rectangles, k enumerates the particular rectangles, and will be equal to In this case, and Therefore, the solution is (v). 