Do I understand correctly, that for complex line integrals the properties of common integrals (e.g. Riemann-integrals) cannot be applied? Neither linearity: $$\int_\gamma \beta \;f(z)dz \not = \beta\int_\gamma f(z)dz$$
Is it true that we cannot do any operations with contour integrals in their initial form and can do that only after curve parametrization when we bring those integrals to a form in which the specified operations can be applied?