I'm tring to solve the Indefinite Integral of the function:
fx[zf_] :=
Log[1.9607843137254901` (0.42` +
0.09000000000000008` (0.11030501767281171` \
E^(-0.06294157608695654` (-0.38964705882352935` + zf)^2) +
1/2 Erfc[0.250881597744746` (-0.38964705882352935` + zf)] -
1/2 E^(0.0981` zf) (1.0382243764705883` + 0.0981` zf) Erfc[
0.250881597744746` (0.38964705882352935` + zf)]))]
When I try to solve the integral:
Integrate[fx[zf], zf]
Mathematica do not give any result. The only assumptyon needed is that zf must be >= 0.
Series[Integrate[fx[zf], zf], {zf, 0, 5}]
giving-0.15174 zf - 0.00803721 zf^2 + 0.00048911 zf^3 + 0.0000386184 zf^4 - 4.66256*10^-6 zf^5
$\endgroup$ – flinty Jul 31 '20 at 22:34Integrate
do not work well with floating-point coefficients. Round-off error can be a problem. In this case, it seems there's no known antiderivative.NDSolve
could compute a numerical antiderivative over a finite domain, if that's of interest. $\endgroup$ – Michael E2 Aug 1 '20 at 3:24