语句: 按球坐标计算 Integrate[r 2 Sinu, u, 0, ArcTan[21,v, 0, 2Pi,r, 0, Sqrt[511+ Integrate[/*Sin[ul u, ArcTan[2], P1/2),v, 0, 2P1] ir, 0, 4[//((Sin[u])2))I -8 Pi 10 Sqrt5] pi 3 3 按柱坐标计算 Integrate[, v, 0, 2Pi,r,0, 2)z,(r/2) /4, Sqrt[5-r/) 2(-4+5 Sgrt 5DPi 3Integrate[r,{v,0,2Pi},{r,0,2},{z,(r^2)/4,Sqrt[5-r^2]}] Integrate[r^2*Sin[u],{u,0,ArcTan[2]},{v,0,2Pi},{r,0,Sqrt[5]}]+ 按球坐标计算 语句： -8 Pi 10 Sqrt[5] Pi 按柱坐标计算 3 3 ----- + ----------------- Integrate[r^2*Sin[u],{u,ArcTan[2],Pi/2},{v,0,2Pi}, {r,0,4Cos[u]/((Sin[u])^2)}] 3 2 (-4 + 5 Sqrt[5]) Pi ------------------------