If you wish to integrate a function over the top half of the unit ball using spherical coordinates, its clear that if we describe the region of integration, p will run from 0 to 1, but what about θ and φ? 0 0 < 0 < Σπ 0 ΣΦ Σπ 0 < θ Σπ Ο Σ Φ < Σπ 0 0 < θ < 2π 0 < p < π/2 © 0 <0 <π/2 Ο Σ Φ < 2π © 0 < θ < 2π – ΣΦΩ Elev

12 estion 7 Which of the following integrals represents the arc length of the portion of the curve f(x)=8x2 + 3 for 1