009B Sample Midterm 3, Problem 1 Detailed Solution

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9B SM3 1 GP.png

Divide the interval    into four subintervals of equal length     and compute the right-endpoint Riemann sum of  

Background Information:  

1. The height of each rectangle in the right-hand Riemann sum

        is given by choosing the right endpoint of the interval.

2. See the Riemann sums (insert link) for more information.


Step 1:  
Each interval has length  
Therefore, the right-endpoint Riemann sum of    on the interval    is


Step 2:  
Thus, the right-endpoint Riemann sum is


Final Answer:  

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