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For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,4] into n equal subintervals and using the right-hand endpoint for each Then take a limit of this sum as n→∞ to calculate the area under the curve over [0,4]. Ck. f(x) = 5x² Write a formula for a Riemann sum for the function f(x) = 5x² over the interval [0,4]. S₁ = (Type an expression using n as the variable.) The area under the curve over [0,4] is (Simplify your answer.) square unit(s).

For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,4] into n equal subintervals and using the right-hand endpoint for each Then take a limit of this sum as n→∞ to calculate the area under the curve over [0,4]. Ck. f(x) = 5x² Write a formula for a Riemann sum for the function f(x) = 5x² over the interval [0,4]. S₁ = (Type an expression using n as the variable.) The area under the curve over [0,4] is (Simplify your answer.) square unit(s).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,4] 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 [0,4]. f(x) = 5x² Write a formula for a Riemann sum for the function f(x) = 5x² over the interval [0,4]. Sn (Type an expression using n as the variable.) The area under the curve over [0,4] is (Simplify your answer.) square unit(s).
Transcribed Image Text:For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,4] 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 [0,4]. f(x) = 5x² Write a formula for a Riemann sum for the function f(x) = 5x² over the interval [0,4]. Sn (Type an expression using n as the variable.) The area under the curve over [0,4] is (Simplify your answer.) square unit(s).
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