Let S be the unit sphere with outward normal. Consider the surface integral [₂ (z(3² − z² + ¹)i + y(2² − z² + ¹)j + z(x² − y² + 1)k) · dS a. Compute the surface integral by using the definition of surface integrals. (Hint: the outward normal at the point (x, y, z) on the sphere is a multiple of (x, y, z).) b. Compute the surface integral by evaluating the triple integral of an appropriate function.