Have a problem that i have had a go at but am completely unsure if am anywhere near on the right track any help would be appreciated.

Evaluate the path integral;

Where f = xy;

And the path C is the part of the circle centred at the origin starting at (0,2) going anticlockwise ending at (-2,0).

I did that x=2cost, y=2sint;

so that c(t) = (2cost , 2sint),

where 0< t < pi/2

then did;

but am not sure i have set this up properly am a bit lost here.