R (y2 x2) dx + (2xy + 3)dy along the x axis from (0, 0) to (5, 0) and then along a

Chapter 6, Problem 31

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QUESTION:

R (y2 x2) dx + (2xy + 3)dy along the x axis from (0, 0) to (5, 0) and then along a circular arc from (5, 0) to (1, 2). Hint: Use Greens theorem.

Questions & Answers

QUESTION:

R (y2 x2) dx + (2xy + 3)dy along the x axis from (0, 0) to (5, 0) and then along a circular arc from (5, 0) to (1, 2). Hint: Use Greens theorem.

ANSWER:

Step 1 of 5

The given integral is

Let assume the  is the path along the x-axis from  and ,  is the circular arc from  and .

We know from Green's theorem.

                                             

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