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Let CCC be the region enclosed by the xxx-axis and the two circles x2+y2=1x^2 + y^2 = 1x2+y2=1 and x2+y2=4x^2+y^2 = 4x2+y2=4 (as shown by the red curves in the figure).
What is the value of ∮C(y2dx+5xy dy)? \displaystyle \oint_C \big(y^2 dx + 5xy\, dy\big) ? ∮C(y2dx+5xydy)?
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