Bestimme das Wegintegral zur holomorphen Differentialform ( 4 z 2 + 2 i z + 3 + 2 z 2 − i z 3 ) d z {\displaystyle {}{\left({\frac {4}{z^{2}}}+2{\frac {\mathrm {i} }{z}}+3+2z^{2}-{\mathrm {i} }z^{3}\right)}dz} auf C ∖ { 0 } {\displaystyle {}{\mathbb {C} }\setminus \{0\}} bezüglich des Weges
![{\displaystyle \gamma \colon [0,2\pi ]\longrightarrow {\mathbb {C} },\,t\longmapsto \cos t+{\mathrm {i} }\sin t.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/35360f2b3b4b6e3f8da42e1159aded21b5bfc6b2)