What is the integral from 0 to infinity of 13xe^{2x} ?

The integral from 0 to infinity of 13xe^{2x} is diverges

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integral from 0 to infinity of 13xe^{2x}

\int_{0}^{\infty} 13 x e^{2 x} d x

diverges

Solution steps

\int_{0}^{\infty} 13 x e^{2 x} d x

Compute the indefinite integral:

\int 13 x e^{2 x} d x = \frac{13}{4} (2 e^{2 x} x - e^{2 x}) + C

Compute the boundaries:

\int_{0}^{\infty} 13 x e^{2 x} d x =

diverges

= diverges

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What is the integral from 0 to infinity of 13xe^{2x} ?
The integral from 0 to infinity of 13xe^{2x} is diverges