Question

Evaluate the line integral ∫ 4xy dx + 2x 2 − 3xy dy, where C is the arc of the circle x 2 + y 2 = 1, from (1, 0) to (0, 1) in the counterclockwise direction.

Answer 1

Refer to the images attached. Edit: I realized after uploading this answer that the integral in terms of y is MUCH easier, so I attached that as well :) But at least you know it can be done both ways!