Problem 5. Let C denote the positively oriented boundary of the half disk 0<r<1, 0<<T, and let f(2) be defined by f(z) = √re/2, where z=re, r> 0, -π/2<<3π/2. - We also define f(0) = 0. Note that f is continuous on the contour C, hence fc f(z)dz is defined. Compute fc f(z)dz by parametrizing the contour C (note that C consists of a semi-circle and two radii). Explain why we cannot apply the Cauchy-Goursat Theorem in this case.