Question Number 147218 by mathmax by abdo last updated on 19/Jul/21
$$\mathrm{calculate}\:\int_{\mid\mathrm{z}−\mathrm{1}\mid=\mathrm{2}} \:\:\:\:\frac{\mathrm{e}^{\mathrm{z}} }{\left(\mathrm{z}+\mathrm{i}\sqrt{\mathrm{2}}\right)^{\mathrm{2}} \left(\mathrm{z}+\mathrm{i}\right)^{\mathrm{2}} \left(\mathrm{2z}−\mathrm{1}\right)}\mathrm{dz} \\ $$