Hello, I don't know how I could represent the are that there is between these two functions (from 0 to 1) of the attached image to be able to integrate it so:

cartesian coordinates it would be:

$\displaystyle A={(x,y): y\ge0; x^2+y^2\le1; x^2+y^2-2x\le0 }$

so:

$\displaystyle \int^{1/2}_0 \int^{\sqrt{2x-x^2}}_0 + \int^{1}_{1/2} \int^{\sqrt{1-x^2}}_0 $

How could I write it in polar coordinates?

Thank you very much!