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study-tbe-variation-of-f-x-2x-1-ln-1-e-x-and-give-its-graph-2-calculate-0-4-f-x-dx-




Question Number 39204 by math khazana by abdo last updated on 03/Jul/18
study tbe variation of f(x) =(2x+1)ln(1+e^(−x) )  and give its graph  2) calculate  ∫_0 ^4  f(x)dx .
$${study}\:{tbe}\:{variation}\:{of}\:{f}\left({x}\right)\:=\left(\mathrm{2}{x}+\mathrm{1}\right){ln}\left(\mathrm{1}+{e}^{−{x}} \right) \\ $$$${and}\:{give}\:{its}\:{graph} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{4}} \:{f}\left({x}\right){dx}\:. \\ $$

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