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calculate-z-1-2-e-z-z-i-2-2-z-i-2-2z-1-dz-




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

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