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Math Help - Question concerning integral equations

  1. #1
    Tau
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    Question concerning integral equations

    Hi

    Something I don't understand about the derivation of integrals is wether the result will be
    y(x) or -y(x)

    (Given that we start with \int_{a}^{b}y(t)\delta t)

    Explanation much appreciated.

    Thanks for your replies.
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  2. #2
    Flow Master
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    Quote Originally Posted by Tau View Post
    Hi

    Something I don't understand about the derivation of integrals is wether the result will be
    y(x) or -y(x)

    (Given that we start with \int_{a}^{b}y(t)\delta t) Mr F says: If a and b are constants then the derivative of this expression is zero since the integral is a number.

    Explanation much appreciated.

    Thanks for your replies.
    \frac{d}{dx} \left[ \int_{a}^x y(t) \, dt \right] = y(x).


    \frac{d}{dx} \left[ \int_{x}^a y(t) \, dt \right] = \frac{d}{dx} \left[ -\int_{a}^x y(t) \, dt \right] = - y(x).
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