- #1
freechus9
- 9
- 0
Hello all. So I am trying to integrate a function of this form:
[tex]\int[/tex][tex]\int[/tex]F(x,y)[tex]\delta[/tex][a(Cos[x]-1)+b(Cos[y]+1)]dxdy
The limits of integration for x and y are both [0,2Pi). I know that this integral is only nonzero for x=0, y=Pi. So this should really only sample one point of F(x,y), namely F(0,Pi). However, I am having trouble figuring out what I need to divide by due to the fact that the delta function argument is a function of x and y, not x and y themselves. Does anyone have any ideas? Thanks!
[tex]\int[/tex][tex]\int[/tex]F(x,y)[tex]\delta[/tex][a(Cos[x]-1)+b(Cos[y]+1)]dxdy
The limits of integration for x and y are both [0,2Pi). I know that this integral is only nonzero for x=0, y=Pi. So this should really only sample one point of F(x,y), namely F(0,Pi). However, I am having trouble figuring out what I need to divide by due to the fact that the delta function argument is a function of x and y, not x and y themselves. Does anyone have any ideas? Thanks!