Question

Let x^2/9 + y^2/4 = 1 be an ellipse. Calculate the area of omega by using a line integral.

Answer 1

Where are you stuck?

Answer 2

on the magical equation ½∫-ydx+xdy

Answer 3

http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtI.aspx

Answer 4

I still just don't understand how my teacher pulled that equation out of thin air. Any ideas?

Answer 5

I also found this: http://www.youtube.com/watch?v=TyjFA_PpCfg

Answer 6

you need to use one of those parametric equations in that link to substitute for x and y and then take the integral.

Answer 7

Aha! It's the Green's Theorem area formula. Thanks for the links!