Weighting integral by mesh area

Dear all,

I have an integral as int2d(th)(u*.v) in which * is the complex conjugate and I want it for normalizing u=u/ int2d(th)(u*.v) . I want to weight it by element size. I am not sure when I write it simply as int2d(th)(u*.v) the element size interferes or not. should I write it as int2d(th)(u*.v. th.area)?

Best regards