Compute divergence theorem for D= 5r2/4 i in spherical coordinates between r=1 and r=2.

Compute divergence theorem for D= 5r2/4 i in spherical coordinates between r=1 and r=2. Correct Answer 75π

∫∫ ( 5r2/4) . (r2 sin θ dθ dφ), which is the integral to be evaluated. Since it is double integral, we need to keep only two variables and one constant compulsorily. Evaluate it as two integrals keeping r = 1 for the first integral and r = 2 for the second integral, with φ = 0→2π and θ = 0→ π. The first integral value is 80π, whereas second integral gives -5π. On summing both integrals, we get 75π.