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1-find-f-x-0-1-ln-1-ix-dx-2-calculate-f-x-




Question Number 45969 by maxmathsup by imad last updated on 19/Oct/18
1) find  f(x)=∫_0 ^1 ln(1+ix)dx  2) calculate f^′ (x)
$$\left.\mathrm{1}\right)\:{find}\:\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\mathrm{1}+{ix}\right){dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{f}^{'} \left({x}\right) \\ $$

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