Improper integral (convergent/divergent)

Printable View

August 25th 2010, 01:56 PM
SyNtHeSiS

Improper integral (convergent/divergent)

Determine whether $\int_{-\infty}^{\infty} xe^{-x^2}dx$ is convergent or divergent. Evaluate it if it is convergent. I tried using integration by parts, but failed to integrate $e^{-x^2}$ .
August 25th 2010, 02:09 PM
Defunkt

You don't need integration by parts.
The substitution $u=x^2$ will easily solve this.
August 25th 2010, 03:47 PM
Ted

Its = 0
unless the lower limit is -infinity.

All times are GMT -8. The time now is 05:58 AM.