Evaluate the following contour integrals. Draw the curve and singular points in the complex plane.
∫|z|²dz and ∫ 1/z²dz
where the contour C is (a) the line segment with initial point -1 and final point i; (b) the arc of the unit circle Im z≥ 0 with initial point -1 and final point i. Compare the results.
