Consider the function f(æ) = - + 6. Calculate + 6 ) dx by using the Riemann sum Rn, where the sample points are chosen to be the right endpoints of each sub-interval. Below are a couple of useful summation formulas n(n + 1) k = k=1 n(n + 1)(2n + 1) 6. k=1 R, =

Consider the function f(æ) = - + 6. Calculate + 6 ) dx by using the Riemann sum Rn, where the sample points are chosen to be the right endpoints of each sub-interval. Below are a couple of useful summation formulas n(n + 1) k = k=1 n(n + 1)(2n + 1) 6. k=1 R, =

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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Question

x2
Consider the function f(x) =
+ 6.
2
Calculate
+ 6) dæ by using the Riemann sum Rn, where the sample points are chosen to be the right endpoints of each
sub-interval.
Below are a couple of useful summation formulas
п(п + 1)
k =
2
k=1
п(п + 1) (2n + 1)
6
k=1
Rn =
x2
+ 6) dx =
2
NOTE: You should NOT use fundamental theorem of calculus for this question.

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