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 \[ \displaystyle \oint_C (y^2\, dx + 5xy\, dy) ? \]
by
Calvin Lin