What is the integral from 0 to infinity of e^xx ?

The integral from 0 to infinity of e^xx is diverges

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integral from 0 to infinity of e^xx

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

diverges

Solution steps

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

Compute the indefinite integral:

\int e^{x} x d x = e^{x} x - e^{x} + C

Compute the boundaries:

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

diverges

= diverges

\int_{0}^{3} k x^{2} d x

\int_{1}^{3} \frac{2}{x ^{2} - 1} d x

\int_{1}^{\infty} n e^{- n^{2}}

\int_{1}^{4} 5 x (x - 1) d x

\int_{0}^{1} y \cdot 2 y d y

What is the integral from 0 to infinity of e^xx ?
The integral from 0 to infinity of e^xx is diverges