Line integral

Calculus Level 5

Let CC be the region enclosed by the xx-axis and the two circles x2+y2=1x^2 + y^2 = 1 and x2+y2=4x^2+y^2 = 4 (as shown by the red curves in the figure).

What is the value of C(y2dx+5xydy)? \displaystyle \oint_C (y^2\, dx + 5xy\, dy) ?

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