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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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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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