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Math Help - Another integral:

  1. #1
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    Another integral:

    \int \frac{t^{2.7}}{4+t^3}{dt}

    I've tried using substitution or integration by parts, but I can't figure out how to pick what U equals, and I don't really know where to start.
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  2. #2
    Senior Member Peritus's Avatar
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    just do long division (it's a little hard to wrute this in latex)


    \frac{{t^{27} }}<br />
{{4 + t^3 }} = t^{24}  - 4t^{21}  + 16t^{18}  \cdots
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Peritus View Post
    just do long division (it's a little hard to wrute this in latex)


    \frac{{t^{27} }}<br />
{{4 + t^3 }} = t^{24}  - 4t^{21}  + 16t^{18}  \cdots
    That one is easy. For this one, though, the exponent is 2.7, not 27.

    -Dan
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  4. #4
    Senior Member Peritus's Avatar
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    Quote Originally Posted by topsquark View Post
    That one is easy. For this one, though, the exponent is 2.7, not 27.

    -Dan
    in that case there is no simple integral, wolfram integrator gives an answer which includes the hypergeometric function.
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