For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,1] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of this sum as n→∞o to calculate the area under the curve over [0,1]. f(x) = 5x² Write a formula for a Riemann sum for the function f(x) = 5x² over the interval [0,1].

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
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For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,1] into n equal subintervals and using the right-hand endpoint for
each ck. Then take a limit of this sum as n→∞o to calculate the area under the curve over [0,1].
f(x) = 5x²
Write a formula for a Riemann sum for the function f(x) = 5x² over the interval [0,1].
Transcribed Image Text:For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,1] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of this sum as n→∞o to calculate the area under the curve over [0,1]. f(x) = 5x² Write a formula for a Riemann sum for the function f(x) = 5x² over the interval [0,1].
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