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