BMAD 63 Report post Posted March 8 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} Share this post Link to post Share on other sites

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}## Share this post

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