i am stuccoed doing this basic complex integrals, i am really tired but i need to do it for my basic complex analysis course, i need to solve this integrals using basic theory of analytic functions, or residues and poles or series, you can use any method you got, i really appreciate your giant 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