t=√(x-3),x=t^2+3,dx=2tdt ∫x/√(x-3) dx =∫(t^2+3)/t*2tdt =∫(2t^2+3)dt =2/3*t^3+3t+c =2/3*(x-3)^(3/2)+3*(x-3)^(1/2)+c
