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]. = (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 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]. = (Type an expression using n as the variable.)
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 given function, 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 \(c_k\). Then take a limit of this sum as \(n \to \infty\) to calculate the area under the curve over \([0,2]\).
\[ f(x) = x^2 + 3 \]
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Write a formula for a Riemann sum for the function \( f(x) = x^2 + 3 \) over the interval \([0,2]\).
\[ S_n = \text{ } \] (Type an expression using \( n \) as the variable.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc17258c9-3aa1-49c2-9ecf-138392926249%2Ff5a37190-cf75-41a6-a9b5-895d4e3fce8d%2F38khxyp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the given function, 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 \(c_k\). Then take a limit of this sum as \(n \to \infty\) to calculate the area under the curve over \([0,2]\).
\[ f(x) = x^2 + 3 \]
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Write a formula for a Riemann sum for the function \( f(x) = x^2 + 3 \) over the interval \([0,2]\).
\[ S_n = \text{ } \] (Type an expression using \( n \) as the variable.)
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