The equations are
,
and
.
Graph:
\Graph the equations
,
and
.
Shade the region required.
\
Area of the region is
.
Find the integral using integration by parts.
\Formula for integration by parts:
.
Here
and
.
Consider
.
Apply derivative on each side.
\
.
Consider
.
Apply integral on each side.
\
Substitute corresponding values in integration by parts formula.
\
Area of the region is
sq.units.
Area of the region is
sq.units.