Consider a point
on upper boundary of the region.

The total area is
times the area of the shaded region to the right.


Check whether the curve
intersect the line
or not.
Substitute
in
.

Roots of the equation
is
.
Since negative values are not considered, the root is
.
Thus, the boundaries are
and
.
Total area :
\

Therefore, the total area is
.
Total area is
.