(a) Evaluate \int _c\,\!\displaystyle \frac{-ydx+xdy}{4x^2+25y^2} when C is the ellipse \displaystyle \frac{x^2}{25}+\displaystyle \frac{y^2}{4}=1, taken counter-clockwise.

(b) If C' is the square with vertices (+-11,0),(0,+-11), taken counter-clockwise, why can we not use Green's theorem directly to calculate the integral along C'?
Use Green's theorem and part (a) to evaluate thei ntegral.