What is the integral from 1 to infinity of 1/((2k+23)) ?

The integral from 1 to infinity of 1/((2k+23)) is diverges

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integral from 1 to infinity of 1/((2k+23))

\int_{1}^{\infty} \frac{1}{( 2 k + 23 )} d k

diverges

Solution steps

\int_{1}^{\infty} \frac{1}{2 k + 23} d k

Compute the indefinite integral:

\int \frac{1}{2 k + 23} d k = \frac{1}{2} ln ∣ 2 k + 23 ∣ + C

Compute the boundaries:

\int_{1}^{\infty} \frac{1}{( 2 k + 23 )} d k =

diverges

= diverges

What is the integral from 1 to infinity of 1/((2k+23)) ?
The integral from 1 to infinity of 1/((2k+23)) is diverges