Solve Gauss integral (Normal Distribution) in the most general form

Spherical coordinate method:
Polar coordinate method:

[fasihullisan]

2:57 how the limits are changed from minus infinity to zero to two phi, and zero to infinity ?

[davidjsutherland]

Good review of integration of the Gaussian normal distribution. Thanks!

[sudirosudiro]

what is your app name to write these equastions?

[aashsyed]

polar coordiniate is this video. dont need to give link.