Could someone help me through this problem?
Prove the uniqueness of the integral. That is, show that $F'\equiv 0$ implies that F is a constant
Try to show the following properties of integrals:
1)$\displaystyle\int_{C} [f(z)+g(z)]\, dz=$$\displaystyle\int_{C}f(z)\, dz +\displaystyle\int_{C} g(z)\, dz$
2)$\displaystyle\int_{C} af(z)\, dz=a\displaystyle\int_{C} f(z)\, dz$