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

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

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

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

diverges

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

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\int_{0}^{1} x e^{x} - \frac{e ^{2 x}}{2} d x

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