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    (a)Find the integral between 0 and infinity
    e^-st. sinat dt

    (b)Let f:[0,1] --> R be the function

    f(x) = { x when x is an element of rational numbers
    {-x when x is not an element of rational numbers

    Prove in detail that f is not integrable on [0,1] but |f| is integrable

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    Solution Summary

    This shows how to find the integral of a given function, and shows a proof of non-integrable functions.