# Math Help - Improper integral (convergent/divergent)

1. ## 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 $e^{-x^2}$.

2. You don't need integration by parts.
The substitution $u=x^2$ will easily solve this.

3. Its = 0
unless the lower limit is -infinity.