Question: Evaluate the line integral by two methods: (a) Directly (b) Using Greens Theorem. C consists of the arc of the parabola y = x 2

Evaluate the line integral by two methods:

(a) Directly

(b) Using Green’s Theorem.

Pox?y? dx + xy dy,

C consists of the arc of the parabola y = x2 from (0, 0) to (1, 1) and the line segments from (1, 1) to (0, 1) and from (0, 1) to (0, 0)

Pox?y? dx + xy dy,

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