Inverse complementary error function erfci(x)

This function calculates the inverse complementary error function erfci(x).

To perform the calculation, enter the argument x. Then click the 'Calculate' button.

erfci(x)calculator  Input Delete Entries Argument x Decimal places 0 1 2 3 4 6 8 10  Result

Formula for the function erfc(x)

\(\displaystyle erf(x)= \frac{2}{\sqrt{π}} \int_0^x e^{-t^2}dt \)

\(\displaystyle erfc(x)= \frac{2}{\sqrt{π}} \int_x^∞ e^{-t^2}dt \)

\(\displaystyle erf(x)+erfc(x)=1 \)

\(\displaystyle erfci(x) = erfc^{-1}(x) \)

\(\displaystyle erfc^{-1}(erfc(x)) = x \)