Question $3$

Evaluate the line integral ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}P(x,y)dx+Q(x,y)dy$ for the following functions $P(x,y),Q(x,y)$ and indicated curve $C$ :

$P(x,y)=x^{2}y$

$Q(x,y)=x{y}^3$

$C$ consists of the line segments from $(-1,1)$ to $(2,1)$ and from $(2,1)$ to $(2,5).$