Evaluating the Complex line Integral

Question

During these days, I am trying to learn myself about complex line integral and I stumble upon a question: Evaluate
$$I_j=\int_{\gamma_j}xdz$$ from j=1 to 7 and x denotes the real part of the complex z.
I solved for j=1,2,3,4 but I am struck at
1)${\gamma_5}$ is the line from 0 to 2i and then 2i to 4+2i
2)${\gamma_6}$ is the line segment from 0 to 1, 1 to 1+i and then from 1+i to 0.
3)${\gamma_7}$ is given ${\gamma_7}$(t)= t+i${t^2}$ on [0,1].
Could anyone provide me some hints to solve this?