Heres what I got so far
Broke it up into 4 seperate intergals
1st intergral ends up beng 2pi
2nd+3rd end up being 0
last intergral ends up being 10 pi
10piN^2=`
my final answer is N=1/((10pi))^(1/2)
which makes makes sense, since the normalization constant for a particle on a ring is 1/((2pi))^(1/2)