Evaluate [ oint_{C} sin x d x+z cos y d y+sin y d z ] where (C)
Question:
Evaluate
\[
\oint_{C} \sin x d x+z \cos y d y+\sin y d z
\]
where \(C\) is the ellipse \(4 x^{2}+9 y^{2}=36\), oriented clockwise.
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