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https://texercises.com/exercise/complex-integrals-2/
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Exercise:
Solve the following egral: _gamma frace^z^z^-zddz with gammat+e^pi it tin.

Solution:
Using the Residue Theorem we obtain textRes_f lim_zrightarrow frace^z^z- frac- since only the pole at z lies inside the prescribed circle wheras z does not. For the egral we then get _gamma frace^z^z^-zddz pi i -frac -fracpi i
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Exercise:
Solve the following egral: _gamma frace^z^z^-zddz with gammat+e^pi it tin.

Solution:
Using the Residue Theorem we obtain textRes_f lim_zrightarrow frace^z^z- frac- since only the pole at z lies inside the prescribed circle wheras z does not. For the egral we then get _gamma frace^z^z^-zddz pi i -frac -fracpi i
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ca, complex, cos, integral, substitution
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(3, default)
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Language
ENG (English)
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Descriptive / Quality
Creator rk
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