# Improper integral (convergent/divergent)

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• 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.