What is the integral from 0 to infinity of x^2e^x ?

The integral from 0 to infinity of x^2e^x is diverges

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integral from 0 to infinity of x^2e^x

\int_{0}^{\infty} x^{2} e^{x} d x

diverges

Solution steps

\int_{0}^{\infty} x^{2} e^{x} d x

Compute the indefinite integral:

\int x^{2} e^{x} d x = x^{2} e^{x} - 2 (e^{x} x - e^{x}) + C

Compute the boundaries:

\int_{0}^{\infty} x^{2} e^{x} d x =

diverges

= diverges

y = - x^{2} - 0.85 x

arcsec (x^{2})

\int_{- \infty}^{0} \frac{1}{7 - 8 x} d x

x \to + 2 - lim (c x^{2} + 6 x)

\int \frac{x ^{2}}{( x - 2 )} d x

What is the integral from 0 to infinity of x^2e^x ?
The integral from 0 to infinity of x^2e^x is diverges