How do you find the integral of #e^(x^2)#?
Use some kind of approximation method. There is no nice, finitely expressible antiderivative.
(Other that to write:
One symbolic way to do it is to use infinite series. Since
It is valid in this example to now integrate term-by-term (the result is true for all
Alternatively, you can also give the antiderivative a name. Wolfram Alpha writes the antiderivative whose graph goes through the origin as