What is the integral from-infinity to infinity of xe^{x^2} ?

The integral from-infinity to infinity of xe^{x^2} is diverges

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integral from-infinity to infinity of xe^{x^2}

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

diverges

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

\frac{d y}{d x} = - k (y - a)

3 y ln (x) - x y^{^{'}} = 0

\frac{d}{d x} (tan (x^{2} - 4 x^{5}))

\frac{d}{d x} (2 x^{\frac{1}{2}} + 6 x^{\frac{1}{3}} - 2 x^{\frac{3}{2}})

\frac{sin ( 5 x )}{x}

What is the integral from-infinity to infinity of xe^{x^2} ?
The integral from-infinity to infinity of xe^{x^2} is diverges