normalise to unity

ak416

consider the wave packet psi(x, t=0) = C*exp(i*p0*x/hbar)*exp(-[x]/(2*deltax))
where C is the normalisation constant
part a) normalise psi(x) to unity
I took Integral from negative infinity to positive infinity of ([psi]^2)dx and got [C]^2 * ( Integral from negative infinity to 0 of exp(x/deltax)dx + Integral from 0 to positive infinity of exp(-x/deltax)dx )
However this gives me [C]^2 * 0 and there is no number for C that i can think of that can make it equal to 1. Im thinking C must be some complex number, but i dont know where to go from here...
Note: this is for a introductory QM class

Tide

You did the integrals wrong. The result is not 0.