For the function given below, 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 this sum as n→ ∞o to calculate the area under the curve over [a,b]. f(x)= 3x³ over the interval [0,1] Find a formula for the Riemann sum. Sn =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 45E
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For the function given below, 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 this sum as n→ ∞ to calculate the area under the curve over [a,b].
f(x) = 3x³ over the interval [0,1]
Find a formula for the Riemann sum.
S₁ =
←
Transcribed Image Text:For the function given below, 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 this sum as n→ ∞ to calculate the area under the curve over [a,b]. f(x) = 3x³ over the interval [0,1] Find a formula for the Riemann sum. S₁ = ←
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