Question

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

Answer 1

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`