The points $A,B,D$ lie $on$ the circle $x^2+y^2=16$ and $C_{i}is$ one $of$ the curves shown $in$ the diagram above.

$C_1$ : The line segment from $AtoB.$

$C_2$ : The line segment from $AtoD$ followed $by$ line segment $DtoB.$

$C_3$ : Semicircle ADB

Arrange the line integrals $L_1,L_2,L_{3}in$ ascending order, where

$L_i={\displaystyle \underset{C_i}{\overset{\phantom{}}{}}}(-x^{2}y(vec(i))+(x{y}^2-16x)(vec(j)))*dvec(r)$