# Line integral

Calculus Level 4

Let $$C$$ be the enclosed anti clockwise path around the circles $$x^2 + y^2 = 1$$ and $$x^2+y^2 = 4$$ when $$y \geq 0$$ (as shown by the red curves in the figure).

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

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