For the function given below, find a formula for the Riemann sum obtained by dividing the interval (a,b) inton equal subintervals and using the nght-hand endpoint for each c,. Then take a limit of this sum as n - 0o to calculate the area under the curve over (a, b) f(x) = 3x over the interval [1,3]. Find a formula for the Riemann sum. S, =
For the function given below, find a formula for the Riemann sum obtained by dividing the interval (a,b) inton equal subintervals and using the nght-hand endpoint for each c,. Then take a limit of this sum as n - 0o to calculate the area under the curve over (a, b) f(x) = 3x over the interval [1,3]. Find a formula for the Riemann sum. S, =
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. Then take the limit of this sum as \(n \to \infty\) to calculate the area under the curve over \([a, b]\).
\(f(x) = 3x\) over the interval \([3, 13]\)
Find a formula for the Riemann sum.
\[ S_n = \]
[ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea9cc4aa-6448-4354-8c80-3956c9525a82%2Fe8a34c9d-14cc-4c5f-b29d-1867c2beeb19%2Fz2rk5j_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 \([a, b]\) into \(n\) equal subintervals and using the right-hand endpoint for each. Then take the limit of this sum as \(n \to \infty\) to calculate the area under the curve over \([a, b]\).
\(f(x) = 3x\) over the interval \([3, 13]\)
Find a formula for the Riemann sum.
\[ S_n = \]
[ ]
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