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Math Help - Intergrating

  1. #1
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    Intergrating

    I was wondering, are there any other integration methods besides, substitution (incuding trig), partial fraction, and differentiation by parts?
    thanks
    nertil
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  2. #2
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    Quote Originally Posted by nertil1 View Post
    I was wondering, are there any other integration methods besides, substitution (incuding trig), partial fraction, and differentiation by parts?
    thanks
    nertil
    1)There is infinite series expansions.
    2)There are complex integration (imaginary numbers) which simplify some real integration.
    3)There are Elliptic Integrals.
    ....
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  3. #3
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    Quote Originally Posted by nertil1 View Post
    I was wondering, are there any other integration methods besides, substitution (incuding trig), partial fraction, and differentiation by parts?
    thanks
    nertil
    Slightly toung in cheek: There is always the Risch Algorithm

    RonL
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    Quote Originally Posted by CaptainBlank View Post
    Slightly toung in cheek: There is always the Risch Algorithm

    RonL
    I heard of Risch Algorithm before, but I was curious is is possible for a person to do the entire algorithm in efficient amount of time?
    Last edited by ThePerfectHacker; February 15th 2007 at 01:27 PM.
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  5. #5
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    Quote Originally Posted by ThePerfectHacker View Post
    I heard of Risch Algorithm before, but I was curious is is possible for a person to do the entire algorithm in efficient amount of time?
    I don't know the detail well enough to say, but as packages like Mathematica
    and Maple generally only partially implement it I suspect in many cases it is
    nowhere as efficient as other methods.

    RonL
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