cole1529 cole1529

14-01-2020
Mathematics

contestada

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

Respuesta :

LammettHash LammettHash

14-01-2020

This integral diverges.

[tex]\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[/tex]

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