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Question Number 85875 by sakeefhasan05@gmail.com last updated on 25/Mar/20

$$\int \left(\frac{1}{7[1-\frac{1}{7}{\mathrm{e}}^{\mathrm{x}}]}\right)\mathrm{dx}$$

Answered by TANMAY PANACEA. last updated on 25/Mar/20

$$\frac{1}{7}\int \frac{e^{-x}dx}{e^{-x}-\frac{1}{7}}\left(\mathit{m}\mathit{u}\mathit{l}\mathit{t}\mathit{i}\mathit{p}\mathit{l}\mathit{y}{\mathit{N}}_{r}and{D}_{r}by{e}^{-x}\right)$$$$t=e^{-x}-\frac{1}{7}\to \frac{dt}{dx}=-e^{-x}$$$$\frac{1}{7}\int \frac{-dt}{t}=\frac{-1}{7}lnt+c$$$$\frac{-1}{7}\mathit{l}\mathit{n}({\mathit{e}}^{-\mathit{x}}-\frac{1}{7})+\mathit{c}$$

Commented by sakeefhasan05@gmail.com last updated on 25/Mar/20

$$\mathrm{thank}\mathrm{u}\mathrm{very}\mathrm{much}$$

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