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Integral of Cos(x^3)

f1dan · 2009-04-14 16:01:37

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

14-04-2009 4:01pm

#1

f1dan

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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 14-04-2009 9:03pm

Michael Collins

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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 16-04-2009 7:36pm

Fremen

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-(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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