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Question Number 146236 by mathdanisur last updated on 12/Jul/21

∫ ((3x + 1)/x) dx = ?

$$\int\:\frac{\mathrm{3}{x}\:+\:\mathrm{1}}{{x}}\:{dx}\:=\:? \\ $$

Answered by puissant last updated on 12/Jul/21

=∫3+(1/x)dx  =3x+ln(x)+k..

$$=\int\mathrm{3}+\frac{\mathrm{1}}{\mathrm{x}}\mathrm{dx} \\ $$$$=\mathrm{3x}+\mathrm{ln}\left(\mathrm{x}\right)+\mathrm{k}.. \\ $$

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