Question

\[\frac2{\sqrt\pi}\int\limits_0^\infty ze^{-z^2}\int\limits_0^ze^{-u^2}\,\mathrm du\,\mathrm dz \]

Answer 1

i think i have to change the order of integration

Answer 2

is this right?\[=\frac2{\sqrt\pi}\int\limits_0^\infty e^{-u^2}\int\limits_u^\infty ze^{-z^2}\,\mathrm dz\,\mathrm du \]