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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