The error function, erf (x )equals startfraction 2 over startroot pi endroot endfraction integral from 0 to x e superscript negative t squared baseline dt , important in probability and in the theories of heat flow and signal transmission, must be evaluated numerically because there is no elementary expression for the antiderivative of e superscript negative t squared. a. use simpson's rule with n equals 10 to estimate erf (3 ). b. in [0 comma 3 ],