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Math Help - Deriving defined Integral

  1. #1
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    Deriving defined Integral

    I need to derive defined integral which does look like this...

    F(x)=\int_0^x{\frac{\cos t}{1+t^2}dt}

    F'(x)=?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    See attachment
    Attached Thumbnails Attached Thumbnails Deriving defined Integral-secondftc.jpg  
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  3. #3
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    Thankyou...

    how can i get left and right limit of this derivate function?

    \frac{dF}{dx}=F'(x)=\frac{\cos t}{1+t^2}
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  4. #4
    MHF Contributor Calculus26's Avatar
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    Not not quite right

    F ' (x) = cos(x)/(1+x^2) here we have x not t
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  5. #5
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    Forgot to change t to x thankyou.
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