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Math Help - first fundamental theorem of calc

  1. #1
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    first fundamental theorem of calc

    f(x)=integral[4,x^2] (1/4t^2-1)^15 dt

    the only thing tripping me up here is the ^15.

    i accidentally did the problem through without the ^15, but dont know where i should have used it anyway

    i set x^2=u

    so

    =(1/4*u^2-1)^15(2x)
    =(1/4*(x^2)^2-1)^15(2x)
    =(1/4*x^4-1)^15(2x)

    do i continue from here or did i make a mistake?
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  2. #2
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    Quote Originally Posted by thedoge View Post
    f(x)=integral[4,x^2] (1/4t^2-1)^15 dt...
    Hello,

    if I read your problem correctly you want to calculate

    \int_{4}^{x^2}{\left( \frac{1}{4}t^2-1 \right)^{15} dt}

    The only way I know to do this problem is expand the bracket (but slavery is still prohibited in the US, isn't it?). So I guess that there is a typo.

    If you want I can post the result but the numbers are really enormous.

    EB
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  3. #3
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    Quote Originally Posted by earboth View Post
    Hello,

    if I read your problem correctly you want to calculate

    \int_{4}^{x^2}{\left( \frac{1}{4}t^2-1 \right)^{15} dt}

    The only way I know to do this problem is expand the bracket (but slavery is still prohibited in the US, isn't it?). So I guess that there is a typo.

    If you want I can post the result but the numbers are really enormous.

    EB
    I think he wants the derivative of that.
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