Evaluate the line integral xdx + ydy using Green’s Theorem. Here C consists of line segments from (0,1) to...?
Evaluate the line integral xdx + ydy using Green’s Theorem. Here C consists of line segments from (0,1) to (0,0) and from (0,0) to (1,0) and parabola y = 1 - x^2 from (1,0) to (0,1).
I got the integral of 0 which is 0 so is that the answer?
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Yes, that's the answer. You're integrating a conservative field over a closed loop, so the integral will be zero.