What is the integral from 4 to infinity of e^{5x} ?

The integral from 4 to infinity of e^{5x} is diverges

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integral from 4 to infinity of e^{5x}

\int_{4}^{\infty} e^{5 x} d x

diverges

Solution steps

\int_{4}^{\infty} e^{5 x} d x

Compute the indefinite integral:

\int e^{5 x} d x = \frac{1}{5} e^{5 x} + C

Compute the boundaries:

\int_{4}^{\infty} e^{5 x} d x =

diverges

= diverges

\int \frac{2 + x ^{2}}{1 + x ^{2}} d x

\int (\frac{x}{2} + \frac{2}{x}) d x

\frac{\partial}{\partial x} (\frac{( 2 x y )}{x ^{2} + y ^{2}})

\frac{d}{d x} (\frac{2 - x}{( 3 - x ) ^{4}})

\frac{d}{d x} (5 x e^{- x})

What is the integral from 4 to infinity of e^{5x} ?
The integral from 4 to infinity of e^{5x} is diverges