Find the area of the region bounded by the curves using integration.
Thus,
center=(1,0)
radius=1
Thus
center=(0,0)
radius=1
Area required = Area OACB
First, we find Intersection
points A & B
From equation (1)
put in equation (2)
puting in equation (1)
so
so intersecting points are
&
Now finding area
Area= Area ACBD + Area OADB
Area ACBD
ACBD is symmetic about x-axis
so Area ACBD = Area ACD
y equation of 1st circle
Area AOD is in 1st quadrant we to be positive value
so
Hence
putting
Differentiating w.r.t x
so,
Area required = Area ACBD + Area OADB