A sphere of radius a in free space is nonuniformly charged over its surface such that the charge density is given by ρ_{s}(θ) = ρ_{s0}sin 2θ, where ρ_{s0}is a constant and 0≤θ≤∏. Compute the total charge of the sphere.

So I know

ρ_{s}= dQ/dS

Integrating the surface charge density function will give me the charge Q. My question is how would you set up this integral?

∫ρ_{s0}sin 2θ dS

integrating 0 to ∏

Or would this involve much more than that such as a triple integral?

Any help getting this set up would be great! Thanks!