using integration find the area bounded

x2+y2=4 ,(x-2)2+y2=4

the given circles are :

let the given circles intersect at B and D.

by solving (1) and (2) the coordinates of intersection points are  .

we have to find the area of the shaded region.

let us slice this region into vertical strips. therefore

 

Area (ABC)

required area of ABCD is twice the area of ABC.

required area=

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