Given the function ?(x)=3x2+2x+4, let ?? be the Riemann Sum obtained by dividing the interval [0,1] into n equal subintervals and using the right-hand endpoint for each ck. (a)  Compute R100 .  Leave your answer exact.  (b)  Take the limit of these sums, Rn, as n→∞ to calculate the area under the curve over [0,1]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given the function ?(x)=3x2+2x+4, let ?? be the Riemann Sum obtained by dividing the interval [0,1] into n equal subintervals and using the right-hand endpoint for each ck.

(a)  Compute R100

.  Leave your answer exact. 

(b)  Take the limit of these sums, Rn, as n→∞ to calculate the area

under the curve over [0,1] 

Given the function f(x) = 3x² + 2x +Aet R, be the Riemann
Sum obtained by dividing the interval [0, 1] into n equal subintervals and
using the right-hand endpoint for each ck.
(a) Compute R100- Leave your answer exact.
(b) Take the limit of these sums, R„, as n → o to calculate the area
, as
under the curve over [0, 1]
Transcribed Image Text:Given the function f(x) = 3x² + 2x +Aet R, be the Riemann Sum obtained by dividing the interval [0, 1] into n equal subintervals and using the right-hand endpoint for each ck. (a) Compute R100- Leave your answer exact. (b) Take the limit of these sums, R„, as n → o to calculate the area , as under the curve over [0, 1]
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