Wegintegral/Trigonometrische Helix/(y-z^3)dx+x^2dy-xzdz/Aufgabe

Sei

\gamma \colon [0,2\pi ]\longrightarrow \mathbb {R} ^{3},\,t\longmapsto (\cos t,\sin t,t),

gegeben. Berechne das Wegintegral längs dieses Weges zur Differentialform

{}\omega =(y-z^{3})dx+x^{2}dy-xzdz

.

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