(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.