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    Integrals: Boundaries and Infinity

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    (a)Let f:[a,b] ---R be continuous and f(x)>= 0 for all x an element of [a,b]. prove that if the integral between the boundaries b and a of f(x) dx =0 then f(x) =0 for all x an element of [a,b]

    (b)Prove that the integral between infinity and 0 of e^-st .sinat dt = a/s^2 + a^2

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    See the solution in the attached file.

    a) Given f(x) >=0 and continuous on (a,b), hence m<=f(x)<=M, where m and M ...

    Solution Summary

    There are two proofs in this solution regarding integrals. The integrals between infinity and zero are given.