Step 1:
\The equation of curves are and
.
Find the point of intersection of the two curves.
\General solution of is
.
If then
.
If then
.
Point of intersections are and
.
Step 2:
\Observe the Graph:
\From to
, the region is bounded by the curve
and it is shown as blue in color.
From to
, the region is bounded by the curve
and it is shown as pale yellow in color.
From to
, the region is bounded by the curve
and it is shown as pale yellow in color.
Step 3:
\Area of the region bounded by the curve is .
Area of the region bounded by the curves is
\
Area of the region bounded by the curves is
Solution:
\Area of the region bounded by the curves is