Modul
e
7 : Applications of Integration - I
Lecture
21 : Area between two curves [Section 21.2]
2.
Let
. Determine
so that the region above the graph of
and below the graph
of
has area 4.5.
3.
Find the area of the region bounded by the given curves in each of the following case:
(i)
The region enclosed by the curve
.
(ii)
Inside the circle
and outside the cardioid
(iii)
The region bounded by the curve
and the line
(iv)
The region inside the circle
and outside the cardioid
Consider the curve (called Lemniscate)
.
Show that the area bounded by this curve is not given by the following integral:
Sketch the curve and find the correct area.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
. Determine 
so that the region above the graph of 
and below the graph
has area 4.5. 
.
and outside the cardioid 
and the line 
and outside the cardioid 
.
