设Ω是由曲面x2+y2=R2>及z=0,z=1所围区域,则三重积分=∫∫∫Ωf(x2+y2)dυ在柱坐标下化为累次积分为()
A.4∫0πdθ∫0Rdr∫01f(r2)rdz B.4∫0πdθ∫01dr∫0Rf(r)rdz C.∫02πdθ∫0Rdr∫01f(r)rdz D.∫02πdθ∫01dr∫0Rf(r)rdz正确答案C
设Ω是由曲面x2+y2=R2>及z=0,z=1所围区域,则三重积分=∫∫∫Ωf(x2+y2)dυ在柱坐标下化为累次积分为()
A.4∫0πdθ∫0Rdr∫01f(r2)rdz B.4∫0πdθ∫01dr∫0Rf(r)rdz C.∫02πdθ∫0Rdr∫01f(r)rdz D.∫02πdθ∫01dr∫0Rf(r)rdz正确答案C