34. Let I =

R

∞

0 e−x2/2 dx; then

Let y/x = s and change the order of integration to show that I2 = π/2. This gives an alternative proof of the fact that is a distribution function. The advantage of this method is that it avoids polar coordinates.

Transcribed Image Text:

12= = * [~e e-(2+s)/2 dy] dx.