# closed integral

• November 12th 2012, 06:20 AM
prasum
closed integral
evaluate integral Attachment 25665 counterclockwise around the triangle with vertices (0,0) (1,0) and (0,1)
• November 12th 2012, 07:25 AM
FernandoRevilla
Re: closed integral
What have you tried so far?
• November 12th 2012, 09:05 AM
prasum
Re: closed integral
i have tried using the area of region (0, 0) (0,1) (1,0) and multiplying this with the equation under the closed integral

ie is integrate(f.da) gauss theorem
• November 12th 2012, 09:50 AM
FernandoRevilla
Re: closed integral
Quote:

Originally Posted by prasum
i have tried using the area of region (0, 0) (0,1) (1,0) and multiplying this with the equation under the closed integral
ie is integrate(f.da) gauss theorem

Using the Green's theorem, $\int_C(x-y)dx+(x+y)dy=\iint_D(1+1)\;dxdy=2A$ where $A$ is the area of the triangle.