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Math Help - Strange Integral Question (possbily parametric)

  1. #1
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    Strange Integral Question (possbily parametric)

    Find
    \frac{d}{dx}\ \int \frac{sin(t^3)x}{t^2}dt - the upper boundary for the integral is 4+x^4 and the lower is 2+cos^2(x)

    I wouldn't even know what to search for to learn about this type of integral...
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  2. #2
    MHF Contributor chisigma's Avatar
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    Re: Strange Integral Question (possbily parametric)

    Proceed as explained in...

    http://www.mathhelpforum.com/math-he...ve-194673.html

    ... i.e. if...

    F(x)=\int_{\alpha(x)}^{\beta(x)} f(x,t)\ dt (1)

    ... then...

    \frac{d}{dx} F(x)= \int_{\alpha(x)}^{\beta(x)} f_{x}(x,t)\ dt - \frac{d \alpha}{dx}\ f(x,\alpha)\ + \frac{d \beta}{dx}\ f(x,\beta ) (2)

    Kind regards

    \chi \sigma
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  3. #3
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    Re: Strange Integral Question (possbily parametric)

    I shall study this thank you.
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