Evaluate the line integral $I={\displaystyle \underset{C}{\overset{\phantom{}}{}}}(sinx+2y)dx+(9x+y)dy$ for the nonclosed path that starts at A $,$ ends at D $,$ and visits B and C as shown in the figure. $($Hint: Try closing the path by including the line segment from D to A and then applying Green's theorem. Remember to subtract out the amount you added.$)$

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$A=(0,0),I=(2,2),C=(2,4),D=(0,6)$

I $$