Asked Jan 20, 2020

What is a Riemann sum? Why might you want to consider such a sum?


Expert Answer

Step 1

a) A Riemann Sum is a method for approximating the total area underneath a curve on a graph, otherwise known as an integral. It may also be used to define the integration operation. 

Let f (t) be a function that is continuous on the interval a ≤ t ≤ b. Divide this interval into n equal width subintervals, each of which has a width of: 

Calculus homework question answer, step 1, image 1
Step 2
Calculus homework question answer, step 2, image 1
Step 3
Calculus homework question answer, step 3, image 1

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