※ 引述《hwujialuen (松原拓)》之銘言：
: 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
1
ANS: 負 ---(8+2^1/2)pi
4
: 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
ANS: 0
: 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
ANS:241pi
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