2. Use the composite trapezoidal rule with the step length h = 0.1 to evaluate dx I = 1+x2 and estimate the error term involved. Compare your re- sults with the exact value I = . Repeat the calculation using the composite Simpson's rule with the same step length, but without estimating the error.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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2. Use the composite trapezoidal rule with the step length
h = 0.1 to evaluate
dx
I =
1+x2'
and estimate the error term involved. Compare your re-
sults with the exact value I = . Repeat the calculation
using the composite Simpson's rule with the same step
length, but without estimating the error.
Transcribed Image Text:2. Use the composite trapezoidal rule with the step length h = 0.1 to evaluate dx I = 1+x2' and estimate the error term involved. Compare your re- sults with the exact value I = . Repeat the calculation using the composite Simpson's rule with the same step length, but without estimating the error.
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