Evaluate dx dy dz (x2 y2 z2)3/2 w , where w is the solid bounded by the two spheres x2 y2 z2

Looks like the integral is supposed to be



but it's not clear what spheres bound the region . I'll assume it's the space between two spheres, both centered at the origin, with radii and such that .
Convert to spherical coordinates, setting



Then the region is parameterized by varying over , , and . Note that . We also have the Jacobian



whose determinant is



Under this change of coordinates, we take



So, we have