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Integral of Cos(x^3)

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  • 14-04-2009 5:01pm
    #1
    f1dan
    Closed Accounts Posts: 1,002 ✭✭✭


    As the title says, can somebody find the integral of cos(x cubed). I can't seem to figure it out.


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    #2
    Michael Collins
    Moderators, Science, Health & Environment Moderators Posts: 1,846 Mod ✭✭✭✭Michael Collins


    That's not going to be expressable in any simple form - a simple antiderivative doesn't exist. You'll need to bring in some Special Functions. If you're looking for some definate integral (i.e. the integral evaluated between two limits) you should be able to look that up in an appropriate table.


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    #3
    Fremen
    Registered Users Posts: 2,481 ✭✭✭Fremen


    -(1/6) x (ExpIntegralE[2/3, -i x^3] + ExpIntegralE[2/3, i x^3])

    ExpIntegralE is explained here.
    Good old Mathematica.


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