Hey there, I have a quite simple question. If you're integrating a line integral over a perimeter of a square, would you find parametrize each of the lines and find 4 different integrations along those lines and add them up to get an answer?

Question

anonymous · Answer

are you given the vertexes of the square in question?

anonymous · Answer

Yes

anonymous · Answer

so integrate along each line of the square and add the results.

anonymous · Answer

Thanks. Should I use canonic equation for the parametrization?

anonymous · Answer

yes, you can use that. What is your line integral, btw?

anonymous · Answer

$$\int\limits_{c+}^{} (y^2+x^3)dx+x^4dy  $$

anonymous · Answer

okay, so if the square has sides parallel to the x and y axes, then dy = 0 for the horizontal sides and dx = 0 for the vertical sides.

anonymous · Answer

I am supposed to use Green's theorem for this one. Which I don't really understand ;(

anonymous · Answer

green's theorem applies when you have a closed space created by which has 4 different curves as its boundaries. http://en.wikipedia.org/wiki/Green%27s_theorem