米 2设曲线C的方程为(t)=x(t)+iy(t)(a≤t≤b) 则 ∫efz)d =∫{u(x(0),y)x'()-v(x(t),yt)y')r +i{v(x(t),(t)x'()+u(x(0),y()y'()Hr =∫心{u+iv(x(),()a')+iy')d =∫°f[z(te(t)dt 即有 j.fedc=f九e(0小e(0fe2 设曲线C的方程为 z t x t y t a t b ( ) ( ) i ( ) ( ), = + 则 即有 ( ) c f z dz i ( ), ( ) ( ) ( ), ( ) ( ) d ( ) ( ) b a + + v x t y t x t u x t y t y t t [ ( )] ( )d b a = f z t z t t ( ( ), ( ) ( ) ( ), ( ) ( ) d ) ( ) b a = − u x t y t x t v x t y t y t t i ( ), ( ) ( ) i ( ) d ( ) b a = + + u v x t y t x t y t t ( ) c f z dz [ ( )]d ( ) b a = f z t z t [ ( )] ( )d b a = f z t z t t