into one double integral. Then evaluate the double integral.

Solution: The line y = x intersects the circle at (x, y) = . This same line intersects the circle at (x,y) = .

Consequently, the domain of integration of the first double integral is the region bounded by the circle
r = 1, the line y = x for , and the vertical line x = 1.

The domain of intergration of the second double integral is the region bounded by vertical line x = 1, the line y = x for , the vertical line x = 2, and the x-axis.

The domain for the third is the remaining sector of the shaded region:

Combining the three into one integral we have one integral

No Maple Code for this problem.