Let us use the method of parameterizing the contour to calculate the contour integral ∫Γ[R,θ1,θ2]dzzn,n∈Z, where the trajectory \(\Gamma[R, \theta_1,\the...Let us use the method of parameterizing the contour to calculate the contour integral ∫Γ[R,θ1,θ2]dzzn,n∈Z, where the trajectory Γ[R,θ1,θ2] consists of a counter-clockwise arc of radius R>0, from the point z1=Reiθ1 to the point z2=Reiθ2, as shown in the figure below: