复积分的基本性质
基本性质
∫ c k f ( z ) d z = k ∫ c f ( z ) d z \int_c kf(z)dz\, = k\int_cf(z)dz\, ∫ckf(z)dz=k∫cf(z)dz
∫ c f ( z ) d z = − ∫ C f ( z ) d z \int_c f(z)dz\, = -\int_C f(z)dz\, ∫cf(z)dz=−∫Cf(z)dz
∫ c [ f ( z ) ± g ( z ) ] d z = ∫ c f ( z ) d z ± ∫ c g ( z ) d z \int_c [f(z)±g(z)]dz\, = \int_c f(z)dz ± \int_cg(z)dz\, ∫c[f(z)±g(z)]dz=∫cf(z)dz±∫cg(z)dz