Use the Midpoint Rule and Simpson's Rule to approximate the given integral with the specified value of n. Compare your results to the actual value to determine the error in each approximation. (Round your answers to six decimal places.) f²e-√x dx, n = 6 (a) the Midpoint Rule M6 = EM = (b) Simpson's Rule S6 = Es =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Use the Midpoint Rule and Simpson's Rule to approximate the given integral with the specified value of n. Compare your results to the actual value to determine the error in each approximation. (Round your answers to six decimal places.)
dx, n = 6
(a) the Midpoint Rule
M6 =
EM =
(b) Simpson's Rule
S6 =
Es =
Transcribed Image Text:Use the Midpoint Rule and Simpson's Rule to approximate the given integral with the specified value of n. Compare your results to the actual value to determine the error in each approximation. (Round your answers to six decimal places.) dx, n = 6 (a) the Midpoint Rule M6 = EM = (b) Simpson's Rule S6 = Es =
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