$\"\"$

\

The area of the region bounded by the graph of $\"\"$ and the $\"\"$ -axis.

\

Observe the graph:

\

The boundaries of the region are $\"\"$ and $\"\"$ .

\

$\"\"$

\

Let $\"\"$ .

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ square units.

\

$\"\"$

\

Verify the area of region by using graph:

\

The graph of the integral $\"\"$ is

\

$\"\"$

\

Observe the graph:

\

$\"\"$ square units.

\

$\"\"$

\

The area of the region is $\"\"$ square units.