integration using Simpson’s 1/3 rule (combined with Simpson’s 3/8 rule if necessary).

Name: integration using simpsons 13 rule combined with simpsons 38 rule if necessary 3
Uploaded: 2021-06-29
Duration: 1 min 3 s
Channel: Numerade
Description: integration using Simpson’s 1/3 rule (combined with Simpson’s 3/8 rule if necessary).

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we want to compute the integral 0 to 1 X L n x squared plus one dx. And then approximated with the trapezoidal and Simpsons Rules for N equals eight. So first we compute exactly the integral from +01 L n X squared plus one is one half X squared plus one. L n x squared plus one minus X squared from 0 to 1 or 10.19315 Next before we approximate, we make the following notes for numerical integration, delta X SB minus eight equals one fx L n X squared plus one X. Not or rather ex I r X and Y equals zero X 1.125 All the way up to X 17.75 X 88. That's we have plugging in the chapel Royal Rule. The integral approximately delta X over two times seven, parentheses or 70.19535 We have by Simpson's rule for an odd and even delta X over three times the quantity in parentheses or 30.19315 The Simpsons rules accurate to the nearest 100,000 to help stop a little rule is a bit more inaccurate.

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