In this question, write the given sum in Sigma notation as the Riemann sum for a function and express the limit as a definite integral [ f(x)dæ: 2 2 2n ((² + ¹) + ( + ¹) + ( + ¹) ++ ( + 1)) n n lim nxn Then evaluate the integral.
In this question, write the given sum in Sigma notation as the Riemann sum for a function and express the limit as a definite integral [ f(x)dæ: 2 2 2n ((² + ¹) + ( + ¹) + ( + ¹) ++ ( + 1)) n n lim nxn Then evaluate the integral.
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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Answer with explaining how you get the bounds for the definite integral after finding the reinman sum exactly step by step, I'm just confused on why the bounds are a=0 b =1, thank you
Transcribed Image Text:39) Answer with full steps:
In this question, write the given sum in Sigma notation as the Riemann sum for a
function and express the limit as a definite integral
[º
f(x)dx:
2 2
2n
lim
n→∞ N
²/ ( ( ² + ¹ ) + ( ^ + ¹ ) + ( ² + ¹) ++ (² + 1))
n
n
n
n
Then evaluate the integral.
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