I have this question where I need to evaluate this integral

When I do the sketch though it doesn't make sense because:

The region lies in the semi circle about line y=0 and circle with radius 1 right? But then the outer integral says that the area is cut off at lines x=1 and x=-1. Which doesn't cut off any of the semi circle as its on the tip as the circle radius is 1.. my obvious thought is that I'm doing something wrong. Can anyone confirm?

Does this integral just represent the area under the semicircle

?

Thank you