\

Let $\"\"$ .

\

Graph of $\"\"$ is given.

\

(a) Determine $\"\"$ for $\"\"$ and $\"\"$ .

\

Find $\"\"$ .

\

$\"\"$ .

\

Property of definite integral: $\"\"$ .

\

Therefore, $\"\"$ .

\

$\"\"$

\

Find $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Find $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

Geometrically area under the graph is sum of the areas above the $\"\"$ axis and sum of areas below the $\"\"$ axis.

\

Definite integral property: $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

\

Find $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Find $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Find $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

\

Find $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

\

(b)

\

Determine $\"\"$ .

\

Estimate $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

\

(c)

\

At $\"\"$ , $\"\"$ .

\

The function $\"\"$ has the maximum value at $\"\"$ .

\

At $\"\"$ , $\"\"$ .

\

The function $\"\"$ has the minimum value at $\"\"$ .

\

\

(d)

\

Rough graph of the function $\"\"$ :

\

Plot the points for $\"\"$ and $\"\"$ .

\

$\"\"$

\

\

(a) $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

\

(b) $\"\"$ .

\

(c)

\

The function $\"\"$ has the maximum value at $\"\"$ .

\

The function $\"\"$ has the minimum value at $\"\"$ .

\

(d)

\

$\"\"$ .