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