Erf from a complex plane (sorta)- no integration required
I used the expression "e^(x^2)" with a+bi substituted into x, and did a...thing I guess? Either way, these eqs worked really well with the integral of the original expression (and have nothing to do with e^[(a+bi)^2]), so I graphed the erf fuction (as just erf(x)) along with the solved curves.