How would I integrate this to get h^2 interms of R and D ?

I would not mind if the method doesn't incorporate binomial expansion.

Could you also provide steps.

Many thanks

D2 h2_ 8R3 (+ D/2 -y2 4 T.D2 J-D/2 . dy- R2 R+y Expand the integrand by Binomial expansion and then integrating