Sketch the circle of radius 1 centered at the origin and the circle of radius 1 centered at the point (1,0) both on the same axis.
a. Write an integral which represents the area of the intersection of these circles (with x-axis integrate ). You need not evaluate the integral.
b. Write an integral which represents the area of the intersection of these circles (with y-axis integrate ). You need not evaluate the integral.
c. Write an integral which represents the volume of the solid obtained by revolving this region of intersection about the y-axis. You need not evaluate the integral.