Page 3 - LESSION NOTES CH-8 PDF

Here A1<0 and A2>0. Hence this is the combination of the first and second case. Hence the total
area will be given as |A1|+A2

Area Under the Curve Example

Let us consider an example, to understand the concept in a better way.
2
2
We need to find the total area enclosed by the circle x + y =1

Area enclosed by the whole circle = 4 x area enclosed OABO
1
=4∫ dx(considering vertical strips)
0
1
=4∫ √(1 − dx
2
0
On integrating, we get,
= π
So the required area is π square units.