[積分] Surface Integrals
Evaluate the surface integral
1 ∫ ∫xy dS
S
S is the boundary of the region enclosed by the cylinder
x^2 +z^2=1 and the planes y=0 and x+y =2
2 Evaluate the surface integral ∫ ∫F dS
S
F(x,y,z)=yj -zk
S consists of the paraboloid y= x^2 +z^2 ,0<y<1 ,and the
disk x^2 +z^2 ≦1 ,y=1
3 ∫ ∫(x^2 +y^2 +z^2)dS
S
S consists of the cylinder in Exercise 10 together with
its top and bottom disks
Exercise10: S is the part of the cylinder x^2 +y^2=9
between the planes z=0 and z=2
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 221.169.27.205
推
61.221.204.239 07/17, , 1F
61.221.204.239 07/17, 1F
討論串 (同標題文章)
以下文章回應了本文 (最舊先)：
完整討論串 (本文為第 1 之 4 篇)：