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Math Help - Derivating integrals

  1. #1
    Moo
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    Derivating integrals

    Hi !

    This is just curiosity.. : I'd like to know how you'd do it and what you're going to say. I don't need the result.


    C(x)=\int_0^\infty e^{-t} \cos(xt) \ \frac{dt}{\sqrt{t}}

    S(x)=\int_0^\infty e^{-t} \sin(xt) \ \frac{dt}{\sqrt{t}}

    Establish the equation :

    C'(x)=-x \cdot S'(x)-\frac 12 \cdot S(x)

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    Moo
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    Yes, sort of

    But I wanted to know if you guys know another way to do it.
    I have one. So I want to see how things are taught elsewhere ^^
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