Gaussian integral (incomplete)

Dependencies: Unspecified

\[ \int_0^{\infty} e^{-x^2} dx = \frac{\sqrt{\pi}}{2} \]

Proof (Incomplete)

Denote this integral by $I$. Express $I^2$ as a double integral. Then use change of variables from cartesian coordinates to polar coordinates.

Dependency for:

  1. Normal distribution

Info:

Transitive dependencies: None