Let C be the curve in the plane parametrized by $\gamma(t)=(107cos(t)+sin(t)cos(e^{\pi t^3}), \ 107sin(t)+sin(t)sin(e^{\pi t^7})), \ t \in [0,2\pi]$.
Integrate the 1-form: $$\zeta=\frac{2xdx+2ydy}{(x^2+y^2)^2}+\frac{(x-2)dy-(y-2)dx}{(x-2)^2+(y-2)^2}$$ over C.
How do I make this integral less complicated?