21) Find the number of compositions M needed so that the error of the integral 2.2 In(x + 2) dx is less than 10-8,using composite Simpson method.
21) Find the number of compositions M needed so that the error of the integral 2.2 In(x + 2) dx is less than 10-8,using composite Simpson method.
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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Step 1
Simpson's rule can be used to approximate the value of the integration using numerical integration. The formula for the error in the composite Simpson's is .
Here, h is the step size. The step size can be calculated using the formula .
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