(a) Find
.
Observe the graph:
\The region from
to
is in the shape of quarter circle.
The quarter circle is below the
-axis.
The area of quarter circle is
.
= area of quarter circle.
Substitute
in
.

square units.
square units.
(b) Find
.
Observe the graph:
\The region from
to
is in the shape of triangle.
The area of triangle is
.
The base of triangle is
and height is
.
= area of triangle.

square units.
.
(c) Find
.
Observe the graph:
\The region from
to
is in the shape of triangle.
The region is below the
-axis.
Area of triangle is
.
The base of triangle is
and the height is
.
The region from
to
is in the shape of semi circle.
The radius of semi circle is
.
Area of semi circle is
.
area of triangle + area of semi circle.
square units.
(d) Find
.

Substitute
and
.

square units.
(e) Find
.

Substitute
and
.

square units.
square units.
(f) Find
.

Substitute
.



square units.
square units.
(a)
square units.
(b)
square units.
(c)
square units.
(d)
square units.
(e)
square units.
(f)
square units.