# A Helix

Calculus Level pending

Let $$C$$ be the helix parametrized by the equations $$x=4\sin t$$, $$y=4\cos t$$ and $$z=3t$$ in the domain $$0 \leq t \leq \frac{\pi}{2}$$. Evaluate $$\int_C xy^3 dS$$, where $$dS$$ is the differential of the arc length of the curve.

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