Science:Math Exam Resources/Courses/MATH105/April 2018/Question 01 (e)
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Question 01 (e) 

(e) Use sigma notation to write the right Riemann sum for on with . DO NOT EVALUATE the right Riemann sum. 
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 

The right Riemann sum for with the partition is given by 
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. Since and the given interval for the Riemann sum is . This implies that each interval in the partition has the size , so we will use the partition . Then plugging and into the formula in the hint we see that the right Riemann sum is precisely Answer: The right Riemann sum is given by 