Integrate this and then make a function.....?

Question

Hi,
I have this eqn for normal distribution:
http://img148.imageshack.us/img148/5906/mathxj4.gif
I need to integrate this and then form a function which inputs x and outputs the value of a i.e. f(x) = a NOT f(a)=x
Thanks.

Answer 1

There is no closed form solution to your integral.

Answer 2

not too sure how this is going to work w/ out eq editor, but here goes.
the integral part of the q:

(-sqrt(2)*e^(-z/2))/sqrt(pi)

not sure about the rest