Subdomain integration for effecive area calculation in PCF

Hi,
I am doing a project based on parametric analysis of Photonic crystal fiber. For calculating effective area, I selected the option subdomain integration. I have given Ex*conj(Ex) to calculate numerator and (Ex*conj(Ex))^2 for denominator.

My doubt is in effective area equation for numerator one square term is there.
Is it need to square the value again in numarator?

For more clarification please go through the attachment..

Thanks in advance...

Jais John