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Question Number 87862 by Rio Michael last updated on 06/Apr/20

$$\mathrm{Evaluate}{\stackrel{1}{\int }}_{-1}\frac{1}{x-1}dx$$

Commented by MJS last updated on 06/Apr/20

$${\mathrm{doesn}}^{\prime }\mathrm{t}\mathrm{exist}$$$$\int \frac{dx}{x-1}=\ln \mid x-1\mid +C$$$$\mathrm{but}\underset{x\to 1}{\lim }\ln \mid x-1\mid =-\mathrm{\infty }$$

Commented by Rio Michael last updated on 06/Apr/20

$$\mathrm{so}\mathrm{sir}\mathrm{can}\mathrm{we}\mathrm{say}\mathrm{the}\mathrm{integral}\mathrm{diverges}?$$

Commented by MJS last updated on 07/Apr/20

$$\mathrm{yes}$$

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