BMAD 65 Posted March 8, 2018 Report Share Posted March 8, 2018 Find all continuous positive functions that possess the following property: integral from 0 to 1 of f(x) dx = 1 and integral from 0 to 1 of x*f(x) dx = a and integral from 0 to 1 of x^{2}*f(x) dx = a^{2} Quote Link to post Share on other sites

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## BMAD 65

Find all continuous positive functions that possess the following property:

integral from 0 to 1 of f(x) dx = 1

and integral from 0 to 1 of x*f(x) dx = a

and integral from 0 to 1 of x

^{2}*f(x) dx = a^{2}## Link to post

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