basically i have two equations

x^2+y^2+z^2=1

x^2+y^2+(z-1)^2=2

if you plot these you will see that they intercept.

i need to find the area under the graph where they intercept.

I would like to write this as a SINGLE integral using cartesian, cylindrical and sphereical coordinates.

anyone know how to write it any or all of these three ways. thank you very much

khurram