What is the integral from pi/6 to infinity of 2/x ?

The integral from pi/6 to infinity of 2/x is diverges

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integral from pi/6 to infinity of 2/x

\int_{\frac{π}{6}}^{\infty} \frac{2}{x} d x

diverges

Solution steps

\int_{\frac{π}{6}}^{\infty} \frac{2}{x} d x

Compute the indefinite integral:

\int \frac{2}{x} d x = 2 ln ∣ x ∣ + C

Compute the boundaries:

\int_{\frac{π}{6}}^{\infty} \frac{2}{x} d x =

diverges

= diverges

What is the integral from pi/6 to infinity of 2/x ?
The integral from pi/6 to infinity of 2/x is diverges