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aleksklad [387]
3 years ago
8

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

Mathematics
1 answer:
Leto [7]3 years ago
3 0

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

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