What is the integral from 2 to infinity of 1/(3x+2) ?

The integral from 2 to infinity of 1/(3x+2) is diverges

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integral from 2 to infinity of 1/(3x+2)

\int_{2}^{\infty} \frac{1}{3 x + 2} d x

diverges

Solution steps

\int_{2}^{\infty} \frac{1}{3 x + 2} d x

Compute the indefinite integral:

\int \frac{1}{3 x + 2} d x = \frac{1}{3} ln ∣ 3 x + 2 ∣ + C

Compute the boundaries:

\int_{2}^{\infty} \frac{1}{3 x + 2} d x =

diverges

= diverges

What is the integral from 2 to infinity of 1/(3x+2) ?
The integral from 2 to infinity of 1/(3x+2) is diverges