20
APPLICATION OF INTEGRALS         373
Fig 8 23
The required area = Area of the region ACBA + Area of the region ADEA
=
2
1
3
2
1
3
(3
2)
(3
2)
x
dx
x
dx
−
−
−
+
+
+
∫
∫
=
2
1
2
2
3
2
1
3
3
3
2
2
2
2
x
x
x
x
−
−
−




+
+
+








 = 1
25
13
6
6
3
+
=
Example 13 Find the area bounded by
the curve y = cos x between x = 0 and
x = 2π Solution From the Fig 8 22, the required
area = area of the region OABO + area
of the region BCDB + area of the region
DEFD