求抛物面z=x^2+y^2,0<z<9的面积面积=∫∫D √1+4x²+4y² dxdy=∫∫D √1+4p² pdpdθ=∫(0,2π)dθ∫(0,√2)√1+4p² pdp=π/4∫(0,√2)√1+4p² d(1+4p²)=π/4 · 2/3 (1+4p²)的2分之3次方 \(0,√2)=π/6 [27-1]=13π/3