problem 1evaluate where c is the arc of the

Question

Problem 1

Evaluate where C is the arc of the parabola y² = 4x with initial point (1,-2) and terminal point (1,2).

Problem 2

Integrate in a counter-clockwise sense around the unit circle centered at (a) i, (b) -i, (c) 1, (d) -1.

Problem 3

Evaluate when C is a simple closed curve around -i.