Find the value of the integral that converges. ∫^[infinity]_10 x^-1 dx.

asked Aug 15, 2021 130k views

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Find the value of the integral that converges.
∫^[infinity]_10 x^-1 dx.

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This integral diverges.

$\displaystyle\int_(10)^\infty\frac{\mathrm dx}x=\lim_(t\to\infty)\ln|x|\bigg|_(10)^t=\lim_(t\to\infty)\ln t-\ln10=\infty$

Scubabuddha answered Aug 20, 2021

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