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 Ck. Then take a limit of this sum as n → ∞ to calculate the area under the curve over [a,b]. f(x) = 5x + 11x² over the interval [0,1]. Find a formula for the Riemann sum. Sn The area under the curve over [0,1] is (Simplify your answer.) square units.
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 Ck. Then take a limit of this sum as n → ∞ to calculate the area under the curve over [a,b]. f(x) = 5x + 11x² over the interval [0,1]. Find a formula for the Riemann sum. Sn The area under the curve over [0,1] is (Simplify your answer.) square units.
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 [a,b] 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 [a,b].
f(x) = 5x + 11x² over the interval [0,1].
Find a formula for the Riemann sum.
Sn
11
The area under the curve over [0,1] is
(Simplify your answer.)
square units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb83f86d2-9364-47cb-939d-5cc1faf89779%2F927cf203-d5c1-450d-bd68-1270be150fbe%2Fyp5nti_processed.png&w=3840&q=75)
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
Ck. Then take a limit of this sum as n → ∞ to calculate the area under the curve
over [a,b].
f(x) = 5x + 11x² over the interval [0,1].
Find a formula for the Riemann sum.
Sn
11
The area under the curve over [0,1] is
(Simplify your answer.)
square units.
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