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

\int_{5}^{9} \frac{1}{16 + ( x - 5 ) ^{2}} d x

\int_{1}^{4} (\frac{x}{2}) + 1 d x

\frac{d}{d x} ((8 x - 1)^{3} (2 x + 1)^{4})

\int x \cdot cos (a x) d x

\frac{4 x + 3}{x - 1} (2.11)

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