i already ask that one, but i am now confused, i been trying using series for the first and second one but i really don“t know how to continue so i need help and a rigorous, formal and step by step answer. Like always i really appreciate your help.
$\int_\gamma e^{\dfrac{1}{z^2}}dz$ $\int_\gamma e^{\dfrac{1}{z}}dz$
where $\gamma:|z|=1 $ $\int_{-\pi}^\pi \frac{d\theta}{1+sin^2(\theta)}$ Thanks