Since the answer for part (a) and (b) is same for each question you don\'t have

Question

Since the answer for part (a) and (b) is same for each question

you don't have to show me the work

You can just tell me the answer and I will give you the points...

Evaluate the line integral by the two following methods. xy dx + x2y3 dy C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 3). Directly using Green's Theorem Evaluate the line integral by the two following methods. x dx + y dy C consists of the line segments from (0, 1) to (0, 0) and from (0, 0) to (1, 0) and the parabola y = 1 - x2 from (1, 0) to (0, 1). directly using Green's Theorem

Explanation / Answer

1) Direct integration
J = J1 + J2 + J3, where

J1 is an integral over the line segment from (0,1) to (0,0) ==>
x=0, dx=0 and
y=[1 to 0] ==> J1 = ?[1, 0] y dy = y

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