I have to solve this exercise I will describe but I am facing some problems.
$$\int\int_\tau(x+y)\;dx\;dy$$ where $$(x-2)^2 + y^2 \leq 4$$ and $$y\geq0$$
So I am trying to find this integration inside half of a circle.
$\theta$ is from 0 to $\pi/2$ and $r\leq 4 \cos \theta$
Something is wrong with the plane of integration cause I am getting wierd results.