Evaluate

$$C

$(($y $+7$ sin$($x$))$ dx $+($z$2+6$ cos$($y$))$ dy $+$ x$3$ dz$)$

where C is the curve

r$($t$)=$

sin$($t$),$ cos$($t$),$ sin$(2$t$)$

$,0$ t $2.$

$[$Hint: Observe that C lies on the surface

z $=2$xy$.]$