Thread: definate integral of 'e'

integral (from -a to a) of e^[(-x^2)/(a^2)] dx

I found the indefinate integral in an integral table online, but wasn't sure how the factorials went when used on a definate.

Originally Posted by ryukolink

integral (from -a to a) of e^[(-x^2)/(a^2)] dx

I found the indefinate integral in an integral table online, but wasn't sure how the factorials went when used on a definate.

You did? What did you find? That particular function does NOT have an elementary anti-derivative. (It can be written in terms of the "error function", erf(x).)