BMAD 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 x2*f(x) dx = a2 Quote Link to comment Share on other sites More sharing options...
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BMAD
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 x2*f(x) dx = a2
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