What is the integral from 1 to infinity of e^{1/2 x} ?

The integral from 1 to infinity of e^{1/2 x} is diverges

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integral from 1 to infinity of e^{1/2 x}

\int_{1}^{\infty} e^{\frac{1}{2} x} d x

diverges

Solution steps

\int_{1}^{\infty} e^{\frac{1}{2} x} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{1}^{\infty} e^{\frac{1}{2} x} d x =

diverges

= diverges

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What is the integral from 1 to infinity of e^{1/2 x} ?
The integral from 1 to infinity of e^{1/2 x} is diverges