Compute the line integral of [tex]\int[/tex]c ydx +zdy + xdz
where c is the intersection of x^2 +y^2+z^2= 2(x+y) and x+y=2
(in the direction clockwise as viewed from the origin)
The Attempt at a Solution
While attempting this problem I had a few ideas on how to do it but i couldn't figure out how to make any of them work. One Idea I tried was converting to spherical coordinate which gave me:
because the intersection of the curves is a sphere with the equation x^2+y^2+z^2=4.
I have a problem here because when I tried to set up an integral for the line derivative, there are two variables but you can only set the integral for one of them.
Am I at least on the right path here?