Question

anyboday help me in surface intigral

Answer 1

i just want to now how u take limits in surface intigral

Answer 2

lets see an example

Answer 3

ahh ok

Answer 4

A=(x+y^2)i-2xj+2yzk find surface intigral and S is the surface of plane 2x+y+2z=6in first octant

Answer 5

\[\int\limits_{}^{}\int\limits_{R}^{}g(x,y,z) (\left| gradient \right|/ \left| gradient * p \right|)dA\]

Answer 6

R is a region in the x-y plane that your surface covers.. basically the "shadow"

Answer 7

g(x,y,x) is your function of your surface = to 0

Answer 8

dA is dydx

Answer 9

your bounds reflect dA to enclose the shadow

Answer 10

and p is the unit vector orthogonal to R

Answer 11

which is in this case K

Answer 12

ahh ok

Answer 13

and the gradient can be taken of either g(x,y,z) or f(x,y,z) .. i believe

Answer 14

since the constant wont change anything

Answer 15

basically just memorize this and youll be fine for the exam

Answer 16

ok thanx