设Ω是由圆锥面z2=3x2+3y2(z≥0)及球面x2+y2+z2=a2(z≥0)所围的区域,用球面坐标计算三重积分I=∫∫∫Ωsin(x2++y2+z2)dυ,则下列结论错误的是()
A.I=∫0π/3dφ∫02πdθ∫0ar2sinr2sinφdr; B.I=∫0π/6dφ∫02πdθ∫0ar2sinr2sinφdr; C.I=2∫0π/6dφ∫0πdθ∫0ar2sinr2sinφdr; D.I=4∫0π/6dφ∫0π/2dθ∫0ar2sinr2sinφdr;正确答案A
设Ω是由圆锥面z2=3x2+3y2(z≥0)及球面x2+y2+z2=a2(z≥0)所围的区域,用球面坐标计算三重积分I=∫∫∫Ωsin(x2++y2+z2)dυ,则下列结论错误的是()
A.I=∫0π/3dφ∫02πdθ∫0ar2sinr2sinφdr; B.I=∫0π/6dφ∫02πdθ∫0ar2sinr2sinφdr; C.I=2∫0π/6dφ∫0πdθ∫0ar2sinr2sinφdr; D.I=4∫0π/6dφ∫0π/2dθ∫0ar2sinr2sinφdr;正确答案A