)
=
2
3
0
2 4
x3
x

−




 
8
2 4 2
3


=
× −



32
3
=
Remark From the above examples, it is inferred that we can consider either vertical
strips or horizontal strips for calculating the area of the region Henceforth, we shall
consider either of these two, most preferably vertical strips Example 4 Find the area of the region in the first quadrant enclosed by the x-axis,
the line y = x, and the circle x2 + y2 = 32 Solution The given equations are
y = x