A sphere of radius a in free space is nonuniformly charged over its surface such that the charge density is given by ρs(θ) = ρs0 sin 2θ, where ρs0 is a constant and 0≤θ≤∏. Compute the total charge of the sphere. So I know ρs = dQ/dS Integrating the surface charge density function will give me the charge Q. My question is how would you set up this integral? ∫ρs0 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!