Show that ∫₋₁¹ zᶦdz = 1+e⁻π/2(1-i),where the integrand denotes the principal branch zᶦ = exp(iLogz) (2) > 0, -ㅠ < Argz < π) of zᶦ and where the path of integration is any contour from z=-1 to z = 1 that, except for its end points, lies
above the real axis.