SCalc$916\mathrm{.}4\mathrm{.}003.$

Consider the following line integral.

$$

$$ C

xy dx $+$ x$2$y$3$ dy$,$

$$ C is counterclockwise around the triangle with vertices $(0,0),(1,0),$ and

$(1,4)$

$($a$)$

Evaluate the given line integral directly.

$($b$)$

Evaluate the given line integral by using Green's theorem.