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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](Q93899.png)
$${find}\:{a}\:{function}\:{f}\:{continue}\:{on}\:\left[{a},{b}\right]\:{wich}\:{verify} \\ $$$$\left(\int_{{a}} ^{{b}} {f}\left({x}\right){dx}\right)^{\mathrm{2}} \:=\int_{{a}} ^{{b}} \:{f}^{\mathrm{2}} \left({x}\right){dx}\: \\ $$