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find-a-function-f-continue-on-a-b-wich-verify-a-b-f-x-dx-2-a-b-f-2-x-dx-




Question Number 93899 by mathmax by abdo last updated on 16/May/20
find a function f continue on [a,b] wich verify  (∫_a ^b f(x)dx)^2  =∫_a ^b  f^2 (x)dx
$${find}\:{a}\:{function}\:{f}\:{continue}\:{on}\:\left[{a},{b}\right]\:{wich}\:{verify} \\ $$$$\left(\int_{{a}} ^{{b}} {f}\left({x}\right){dx}\right)^{\mathrm{2}} \:=\int_{{a}} ^{{b}} \:{f}^{\mathrm{2}} \left({x}\right){dx}\: \\ $$

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