What is the integral from 0 to infinity of 4e^{8x} ?

The integral from 0 to infinity of 4e^{8x} is diverges

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integral from 0 to infinity of 4e^{8x}

\int_{0}^{\infty} 4 e^{8 x} d x

diverges

Solution steps

\int_{0}^{\infty} 4 e^{8 x} d x

Compute the indefinite integral:

\int 4 e^{8 x} d x = \frac{1}{2} e^{8 x} + C

Compute the boundaries:

\int_{0}^{\infty} 4 e^{8 x} d x =

diverges

= diverges

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What is the integral from 0 to infinity of 4e^{8x} ?
The integral from 0 to infinity of 4e^{8x} is diverges