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Question Number 32126 by mondodotto@gmail.com last updated on 20/Mar/18

Commented by mondodotto@gmail.com last updated on 20/Mar/18

$$\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}\mathit{h}\mathit{e}\mathit{l}\mathit{p}$$

Answered by mrW2 last updated on 20/Mar/18

$$\int \frac{\ln x-1}{{\left(\ln x\right)}^2}dx$$$$=\int \frac{1}{\ln x}dx-\int \frac{1}{{\left(\ln x\right)}^2}dx$$$$=\frac{x}{\ln x}+\int \frac{x}{x{\left(\ln x\right)}^2}dx-\int \frac{1}{{\left(\ln x\right)}^2}dx$$$$=\frac{x}{\ln x}+C$$

Commented by mondodotto@gmail.com last updated on 20/Mar/18

$$\mathrm{thanx}\mathrm{a}\mathrm{lot}$$

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