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    Fundamental theorem of calculus

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    Let G(x) = Int(0..x, (Int(0..s, f(t)dt)) , ds), where f is continuous for all real t. Find

    a) G(0) b) G'(0) c) G''(x) d) G''(0)

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    https://brainmass.com/math/calculus-and-analysis/fundamental-theorem--calculus-continuous-functions-91957

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    The Fundamental Theorem of Calculus
    ________________________________________
    Let G(x) = Int(0..x, (Int(0..s, f(t)dt)) , ds), where f is continuous for all real t. Find

    a) G(0) b) G'(0) c) G''(x) d) G''(0)

    Solution.
    As , we have
    (a) ...

    Solution Summary

    This provides an example of solving a problem with the fundamental theorem of calculus.

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