(Solved):   1.-Apply the Cauchy-Goursat theorem to evaluate the integral \( \oint_{\sigma}(\operatorna ...

 

1.-Apply the Cauchy-Goursat theorem to evaluate the integral \( \oint_{\sigma}(\operatorname{sechz}) d z \), which represents the motion of a particle along the cur \( \sigma \) : which represents the circle \( |z|=1 \) 2.- solve the integral \( \oint_{\sigma} \cosh \left(z^{-4}\right) d z \), over the square \( \sigma=(2,-2) \cup(2,2) \cup(-2,2) \cup(-2,-2) \) Apply Cauchy's integral formula and justify your answer.