## anonymous 5 years ago 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?

1. anonymous

are you given the vertexes of the square in question?

2. anonymous

Yes

3. anonymous

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

4. anonymous

Thanks. Should I use canonic equation for the parametrization?

5. anonymous

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

6. anonymous

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

7. anonymous

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.

8. anonymous

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

9. anonymous

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