For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,2] into n equal subintervals and us right-hand endpoint for each ck. Then take a limit of this sum as n → ∞ to calculate the area under the curve over [0,2]. f(x)=x² +3 Write a formula for a Riemann sum for the function f(x) = x² + 3 over the interval [0,2]. 4n(n + 1)(2n + 1) 3 Sn = …... 3n +6 (Type an expression using n as the variable.)
For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,2] into n equal subintervals and us right-hand endpoint for each ck. Then take a limit of this sum as n → ∞ to calculate the area under the curve over [0,2]. f(x)=x² +3 Write a formula for a Riemann sum for the function f(x) = x² + 3 over the interval [0,2]. 4n(n + 1)(2n + 1) 3 Sn = …... 3n +6 (Type an expression using n as the variable.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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![For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,2] 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 [0,2].
f(x)=x² + 3
Write a formula for a Riemann sum for the function f(x)=x² + 3 over the interval [0,2].
4n(n + 1)(2n + 1)
3
Sn
=
3n
+6 (Type an expression using n as the variable.)
The area under the curve over [0,2] is
(Simplify your answer.)
square units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc17258c9-3aa1-49c2-9ecf-138392926249%2Fda8c52fd-3163-4b9f-bcd0-911ab519d93f%2Fln18e7r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,2] 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 [0,2].
f(x)=x² + 3
Write a formula for a Riemann sum for the function f(x)=x² + 3 over the interval [0,2].
4n(n + 1)(2n + 1)
3
Sn
=
3n
+6 (Type an expression using n as the variable.)
The area under the curve over [0,2] is
(Simplify your answer.)
square units.
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