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Math Help - Logarithmic function

  1. #1
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    Logarithmic function

    F(x)=\int\limits_{2}^{x}     \sqrt(3t^2+1)dt\
    Find F(2), F'(2), F''(2)
    not really sure how to do this i thought every answer would be zero, since every integral is measured from 2 to 2... and everything in the parenthesis is under the sq rt
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by vinson24 View Post
    F(x)=\int\limits_{2}^{x}     \sqrt(3t^2+1)dt\
    Find F(2), F'(2), F''(2)
    not really sure how to do this i thought every answer would be zero, since every integral is measured from 2 to 2... and everything in the parenthesis is under the sq rt

    F(x)=\int\limits_{2}^{x}     \sqrt{3t^2+1}dt\

    F(2) = 0, yes..

    F'(x) = 3x^2+1, Fundamental Thm of Calculus
    and F''(x) = ...
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  3. #3
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    thanks alot
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