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    Integral, Continuity and Limits

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    Q:
    Suppose and are continuous and F(x) =
    Let

    (a) prove that f'(x) + g'(x) =0 for all x
    (b) Prove that f(x) + g(x) = /4 for all x. Deduce that

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    Suppose and are continuous and F(x) =
    Let

    (a) prove that f'(x) + g'(x) =0 for all x
    Prove that f(x) + g(x) = /4 for all x. Deduce that

    Solution:

    (a) We will apply the formula of Leibniz for derivative of an integral with parameters:
    ( 1)
    For f(x), we will have:
    ( 2)
    where
    ...

    Solution Summary

    The Leibniz derivative and the Poisson integral are applied. The solution is detailed and well presented.

    $2.49

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