Antiderivative of inverse error function
From specialfunctionswiki
Theorem
The following formula holds: $$\displaystyle\int \mathrm{erf}^{-1}(x) dx = -\dfrac{e^{-[\mathrm{erf}^{-1}(x)]^2}}{\sqrt{\pi}}.$$
The following formula holds: $$\displaystyle\int \mathrm{erf}^{-1}(x) dx = -\dfrac{e^{-[\mathrm{erf}^{-1}(x)]^2}}{\sqrt{\pi}}.$$