Berechne das Wegintegral ∫ γ ω {\displaystyle {}\int _{\gamma }\omega } zur C {\displaystyle {}{\mathbb {C} }} -wertigen Differentialform
auf C {\displaystyle {}{\mathbb {C} }} mit z = x + i y {\displaystyle {}z=x+{\mathrm {i} }y} zum Weg γ ( t ) = t − 3 t 2 − t 2 i {\displaystyle {}\gamma (t)=t-3t^{2}-t^{2}{\mathrm {i} }}
![{\displaystyle {}[-1,4]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/26298089025911f46f4b021001b4a3b6cfcdb112)