$\"\"$

\

The function is $\"\"$ and the interval $\"\"$ .

\

Using mid point theorem:

\

The area is $\"\"$ .

\

Consider $\"\"$ .

\

Take $\"\"$ .

\

$\"\"$ .

\

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

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ values.

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ . $\"\"$

\

Using mid point theorem:

\

Area = $\"\"$ $\"\"$

\

$\"\"$ sq-units.

\

Graph the region:

\

$\"\"$ .

\

$\"\"$

\

Graph the region when $\"\"$ .

\

$\"\"$ .

\

Observe the graph:

\

The approximate area when $\"\"$ is $\"\"$ .

\

Graph the region when $\"\"$ .

\

$\"\"$ .

\

Observe the graph:

\

The approximate area when $\"\"$ is $\"\"$ .

\

Graph the region when $\"\"$ .

\

$\"\"$ .

\

Observe the graph:

\

The approximate area when $\"\"$ is $\"\"$ .

\

Graph the region when $\"\"$ .

\

$\"\"$ .

\

Observe the graph:

\

The approximate area when $\"\"$ is $\"\"$ .

\

Complete the table:

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
Approximate area	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

\

$\"\"$

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
Approximate area	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

\