What is the integral from 0 to infinity of e^{x/3} ?

The integral from 0 to infinity of e^{x/3} is diverges

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integral from 0 to infinity of e^{x/3}

\int_{0}^{\infty} e^{\frac{x}{3}} d x

diverges

Solution steps

\int_{0}^{\infty} e^{\frac{x}{3}} d x

Compute the indefinite integral:

\int e^{\frac{x}{3}} d x = 3 e^{\frac{x}{3}} + C

Compute the boundaries:

\int_{0}^{\infty} e^{\frac{x}{3}} d x =

diverges

= diverges

x^{2} \frac{d y}{d x} + 4 x y - y^{3} = 0

\int_{0}^{1} 2 π (x) (8 - 7 x - x^{2}) d x

\int_{0}^{1} \frac{5}{x ^{5}} d x

\frac{d}{d x} (\frac{24}{x ^{2} + 12})

x \to 1 lim (e^{x} - 1)

What is the integral from 0 to infinity of e^{x/3} ?
The integral from 0 to infinity of e^{x/3} is diverges