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 these sums as n-x to calculate the area under the curve over [a, b]. f(x) = 1- x 2 over the interval [0, 1].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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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 these sums as n- to calculate the area under the curve over [a, b].
f(x) = 1- x over the interval [0, 1].
2n3+3n2+n
1-
;Area=
%3D
6n3
2n3+3n2 +2n
1-
6n3
;Area=
2n3-3n2+n
1-
Area:
6n3
2n3+3n2+n
Area=
3n3
2/3
2/3
2/3
2/3
Transcribed Image Text: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 these sums as n- to calculate the area under the curve over [a, b]. f(x) = 1- x over the interval [0, 1]. 2n3+3n2+n 1- ;Area= %3D 6n3 2n3+3n2 +2n 1- 6n3 ;Area= 2n3-3n2+n 1- Area: 6n3 2n3+3n2+n Area= 3n3 2/3 2/3 2/3 2/3
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