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anonymous

  • 4 years ago

Solve a definite integral using Simpson's Rule

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  1. anonymous
    • 4 years ago
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    \[\int\limits_{0}^{6}x ^{2}dx\]

  2. anonymous
    • 4 years ago
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    Using Simp(2)

  3. anonymous
    • 4 years ago
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    This is just chug and plug I believe.

  4. Zarkon
    • 4 years ago
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    it will be the same as the actual answer

  5. anonymous
    • 4 years ago
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    what?

  6. anonymous
    • 4 years ago
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    Yes Zarkon is right, but actually simpson formula would be tedious in this case.

  7. Zarkon
    • 4 years ago
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    simpsons rule is exact for a quadratic function

  8. anonymous
    • 4 years ago
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    lol fool i need to use it though

  9. anonymous
    • 4 years ago
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    can you tell me the formula of simpson's rule?

  10. anonymous
    • 4 years ago
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    6/6[ f(0) + 4f( .5 ) + 2f(1) + 4f(1.5) + 2f( 2) + 4f( 2.5) + 2f( 3) + 4f ( 3.5) + 2f( 4) + 4f (4.5 ) +2 f( 5) +4 f( 5.5 ) + f( 6) ]

  11. Zarkon
    • 4 years ago
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    http://en.wikipedia.org/wiki/Simpson%27s_rule

  12. anonymous
    • 4 years ago
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    Btw If I remember correctly there is another constraints that should be involved which is number of decimal places.

  13. anonymous
    • 4 years ago
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    oh Thanks Zarkon :D

  14. anonymous
    • 4 years ago
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    Well we learnt the formula (2M+T)/3

  15. anonymous
    • 4 years ago
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    I guess this is pretty tedious

  16. anonymous
    • 4 years ago
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    try computing the error estimate :)

  17. anonymous
    • 4 years ago
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    Yes it is but this formula useful for somewhat complicated integrals.

  18. anonymous
    • 4 years ago
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    yea, som thing cannot be integrated( easily) this is sometime a way to approximate a solution.

  19. anonymous
    • 4 years ago
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    Thanks zarkon <Roachie and fool

  20. anonymous
    • 4 years ago
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    just try to have fun with it!

  21. anonymous
    • 4 years ago
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    LOL Trying but mt brain is fried lol

  22. anonymous
    • 4 years ago
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    you can find the definite integral?

  23. anonymous
    • 4 years ago
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    lol I am in the midst of figuring it out

  24. anonymous
    • 4 years ago
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    ok then do it with Simp and see!

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