Wegintegral/Vektorfeld/Trigonometrische Helix/y-z^3,x^2,-xz/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 zum Vektorfeld

F(x,y,z)=(y-z^{3},x^{2},-xz).

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