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Math Help - anitderivative

  1. #1
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    anitderivative

    what is F, if f(t)= sin(\pi t^2)
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: anitderivative

    Quote Originally Posted by delgeezee View Post
    what is F, if f(t)= sin(\pi t^2)

    Are you trying to find \int sin(\pi t^2) dt ?


    Look over here:

    Fresnel Integrals -- from Wolfram MathWorld
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  3. #3
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    Re: anitderivative

    You can't do a simple integral to solve for it. You have to use another method.
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  4. #4
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: anitderivative

    It would be a nice exercise to prove that \int_1^{\infty} \sin{\pi x^2} dx <\infty.
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