Problem 5. Let C denote the positively oriented boundary of the half disk 0≤r≤1, 0 ≤0, and let f(z) 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 Jcf(z)dz is defined. Compute fcf(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.