I'm studying for a test. The question is: Let A be the straight line segment from -3-4i to 4+3i. Let B be the arc of the circle |z| = 5 going anti-clockwise from -3-4i to 4+3i. Let C be the arc of the circle |z| = 5 going anti-clockwise from -3-i to 4+3i. Define: IA = [tex]\int_A[/tex] 1/z dz IB = [tex]\int_B[/tex] 1/z dz IC = [tex]\int_C[/tex] 1/z dz How do I calculate IA, IB, IC? I know to write IA as an integral by parameterizing A, but how do I parameterize A, I know if I can find IA then the other two are easy. Could I let z = eit so dz = ieit dt. I can't seem to get the limits integration.