What is the integral from 0 to infinity of 5/(x+9) ?

The integral from 0 to infinity of 5/(x+9) is diverges

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integral from 0 to infinity of 5/(x+9)

\int_{0}^{\infty} \frac{5}{x + 9} d x

diverges

Solution steps

\int_{0}^{\infty} \frac{5}{x + 9} d x

Compute the indefinite integral:

\int \frac{5}{x + 9} d x = 5 ln ∣ x + 9 ∣ + C

Compute the boundaries:

\int_{0}^{\infty} \frac{5}{x + 9} d x =

diverges

= diverges

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What is the integral from 0 to infinity of 5/(x+9) ?
The integral from 0 to infinity of 5/(x+9) is diverges