I have solved this problem by setting a relationship between x and y for the 2 lines and got 11. However, when I try solving by the method of parameterization, I come up with 36.
I tried setting $C_1 = <5t,t>$ and $C_2=<5+t,1-t>$
Then for $C_1$, $dx = 5dt$ and $dy = dt$. For $C_2$, $dx=dt$ and $dy=-dt$
Plugging these values into the integrals I have:
which add to 36. I can't find my mistake.
Thank you!