6. Evaluate the integral I = ["sin²xdx 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. The exact value of the integrals is I = r/2. Compare the results and discuss the reasons for the differ- ences.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6. Evaluate the integral
I = ["sin? xdx
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.
The exact value of the integrals is I = 1/2. Compare the results and discuss the reasons for the differ-
ences.
Transcribed Image Text:6. Evaluate the integral I = ["sin? xdx 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. The exact value of the integrals is I = 1/2. Compare the results and discuss the reasons for the differ- ences.
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