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 c. Then take a limit of this sum as n o to calculate the area under the curve over (a,b) f(x) = 4x over the interval (0,3). Find a formula for the Riemann sum The area under curve over (0,3] is O square units. (Simplify your answer.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 c. Then take a limit of this sum as n → o to calculate the area under the curve over [a,b).
f(x) = 4x over the interval [0,3].
Find a formula for the Riemann sum.
S, =
The area under the curve over [0,3] is
square units.
(Simplify your answer.)
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 c. Then take a limit of this sum as n → o to calculate the area under the curve over [a,b). f(x) = 4x over the interval [0,3]. Find a formula for the Riemann sum. S, = The area under the curve over [0,3] is square units. (Simplify your answer.)
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