How do I integrate a function of the form f(x)=exp(cx^2) ?

Question

c is a constant

Answer 1

That's a fairly 'nasty' function, but it's
√π*erfi(√c*x)/(2√c) where erfi is the 'imaginary' error function defined by
erfi(z) = (2/√π)* sum (k = 0 to ∞) (z^(2k+1))/(k!*(2k+1))

You might want to check out
http://integrals.wolfram.com/index.jsp
for a ton of good information.

Lotsa luck ☺


Doug

Answer 2

numerically