Q$8.($a$)$ Calculate $\backslash$int$\_$C zdx$+$xdy$+$ydz where C is the curve parameterised by

vec$($r$)($t$)=($:t$,\backslash$sqrt$($t$),\backslash$root$(3)($t$)$:$),1<=$t$<=64$

$($b$)$ Calculate o$\backslash$int$\_(\backslash$delta R$)$ x$^(2)$ydx$+($e$^($y$^(2))+$x$^(3))$dy$,$ where

$\backslash$delta R is the counterclockwise path around the

boundary of R$,$ shown right.