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Question Number 120257 by bramlexs22 last updated on 30/Oct/20
 ∫ ((f ′(x))/(f(x))) =?
$$\:\int\:\frac{{f}\:'\left({x}\right)}{{f}\left({x}\right)}\:=? \\ $$
Commented by TITA last updated on 30/Oct/20
it should be ∫((f^′ (x))/(f(x)))dx sir
$${it}\:{should}\:{be}\:\int\frac{{f}^{'} \left({x}\right)}{{f}\left({x}\right)}{dx}\:{sir} \\ $$$$ \\ $$
Answered by Aziztisffola last updated on 30/Oct/20
ln∣f(x)∣+C
$$\mathrm{ln}\mid{f}\left({x}\right)\mid+\mathrm{C} \\ $$
Answered by bemath last updated on 30/Oct/20
 ∫ d(ln (f(x))= ln (f(x))+c
$$\:\int\:{d}\left(\mathrm{ln}\:\left({f}\left({x}\right)\right)=\:\mathrm{ln}\:\left({f}\left({x}\right)\right)+{c}\:\right. \\ $$

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