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Question Number 67662 by Rio Michael last updated on 29/Aug/19

please explain the fact that   ∫(1/x)dx = ln x + k

$${please}\:{explain}\:{the}\:{fact}\:{that}\: \\ $$$$\int\frac{\mathrm{1}}{{x}}{dx}\:=\:{ln}\:{x}\:+\:{k} \\ $$

Commented by malwaan last updated on 29/Aug/19

∫((f ′(x))/(f(x)))dx =ln ∣f(x)∣+ c  (x)′=1

$$\int\frac{{f}\:'\left({x}\right)}{{f}\left({x}\right)}{dx}\:={ln}\:\mid{f}\left({x}\right)\mid+\:{c} \\ $$$$\left({x}\right)'=\mathrm{1} \\ $$

Commented by Rio Michael last updated on 30/Aug/19

thank sir

$${thank}\:{sir} \\ $$

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