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3. Evaluate the integrals: 1, = [sin-rdt and /; sin xdt 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.

3. Evaluate the integrals: 1, = [sin-rdt and /; sin xdt 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.

Advanced Engineering Mathematics
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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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.
Transcribed Image Text: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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