3. Evaluate the integrals:1, - [sin-rdx and /; = sin'xdeusing the following methods:(a) Simpson's 1/3 method. Divide the whole interval into six subintervals.(b) Simpson's 3/8 method. Divide the whole interval into six subintervals.(c) Second-order Gauss quadrature.Compare the results and discuss the reasons for the differences. The exact value of the integrals isI, = 1/2, and I, = n.

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Answered: 3. Evaluate the integrals: I, -…

3. Evaluate the integrals: I, - [sin'xdt and /2 = sin-xdx using the following methods: (a) Simpson's 1/3 method. Divide the whole interval into six subintervals.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

3. Evaluate the integrals:
1, - [sin-rdx and /; = sin'xde
using the following methods:
(a) Simpson's 1/3 method. Divide the whole interval into six subintervals.
(b) Simpson's 3/8 method. Divide the whole interval into six subintervals.
(c) Second-order Gauss quadrature.
Compare the results and discuss the reasons for the differences. The exact value of the integrals is
I, = 1/2, and I, = n.

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