Limits of Riemann SumsFor the functions. find

Chapter 5, Problem 43E

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QUESTION:

Problem 43E

Limits of Riemann Sums

For the functions. find a formula for the Riemann sum obtained by dividing the interval [a, b] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of these sums as  to calculate the area under the curve over [a, b].

 over the interval [0, 1].

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QUESTION:

Problem 43E

Limits of Riemann Sums

For the functions. find a formula for the Riemann sum obtained by dividing the interval [a, b] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of these sums as  to calculate the area under the curve over [a, b].

 over the interval [0, 1].

ANSWER:

Solution:

Step 1 of 3:

In this problem, we need to find a formula for the Riemann sum obtained by dividing the interval [a,b] into n equal subintervals and using the right hand end point for each , and then take a limit of these sums as  to calculate the area under the curve over [a,b].

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