多元微积分第六题

2025-05-08 16:55:36
推荐回答(1个)
回答(1):

积分(x=0~1,y=0~2,z=0~3) (x^2+y^2)dxdydz
=3积分(x=0~1,y=0~2) (x^2+y^2)dxdydz
=3积分(x=0~1,y=0~2) x^2dxdy+3积分(x=0~1,y=0~2) y^2dxdy
=6积分(x=0~1) x^2dx+3积分(y=0~2) y^2dy
=6*(1/3)+3*(8/3)=2+8=10