Properties of Complex Integrals Let h(t),j(t) be complex-valued functions for t ∈ [a,b] and let α,β ∈ C. One can show directly from the definition (HW) that Z b a αh(t)+βj(t)dt = α Z b a h(t)dt +β Z b a j(t)dt, i.e. the real-complex integral is linear. It follows from (1) and (2) that complex line integrals are also linear: Z γ αf ...