Curvy Calculus 2

Calculus Level 5

\[\left.\begin{matrix} & x=0 & \\ & y=2+2\cos t & \\ & z=2+2\sin t & \end{matrix}\right\}0\leq t\leq 2\pi\]

Let \(C\) be the curve defined by parametric equations above.

Then evaluate \[\int_{C}x^{2}e^{5z}dx + x \cos y dy+3y dz\]

Answer is of the form \(A\pi\) submit the answer as \(A\).

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