SOLVE USING A$)$ NORMAL PATH INTEGRAL METHOD B$)$ SOLVE USING GREENS THEORM.

$\backslash$int$\_$C $($x$+$y$)$dx$-($x$-$y$)$dy

where C is the closed path directed counterclockwise given by the ellipse

$($x$^(2))/($a$^(2))+($y$^(2))/($b$^(2))=1$

PARAMETIC: x$=$ acos$($t$),$ y$=$bcos$($t$),$ t is bounded by $[0,2$pi$].$ AGAIN SOLVE USING BOTH PATH AND GREEN'S THEROM