Calculus Help

[junhoma]

Somebody asked me this questions. I didnot give good answer. So please tell me.


Question: A Curve C is simple , and closed and that C encloses some region R. Suppose also that f(x, y) is defined on C and R . What is the differeence between integration on C f(x,y) ds and double integration on R f(x,y) dA.

I would be happy if someone explain me.

Jun

 

[tkhunny]

When building a house, what is the difference between the walls and everything contained wthin the walls?

 

[Deleted member 4993]

Somebody asked me this questions. I didnot give good answer. So please tell me.


Question: A Curve C is simple , and closed and that C encloses some region R. Suppose also that f(x, y) is defined on C and R . What is the differeence between integration on C f(x,y) ds and double integration on R f(x,y) dA.

I would be happy if someone explain me.

Jun

It is somewhat like the difference between the perimeter and the area of the circle. Onecan be expressed as derivative of the other.