复 定理22设光滑曲线 变 C:z=3(6=x(t)+iy(t(asts B), 数z(a)是起点,孔6)是终点,则 与 积 f(z)dz=f[z(0)]z'(t)dt =4xOp+叫x(,yo)+的o 换 rPqulx(0, y(O](-vlx(o),y(Oly(o)dt +i VLx(), y()Ix()+ux(o), y(Oly()dt定理2.2 设光滑曲线 C z z t x t iy t t : ( ) ( ) ( ) ( ), = = + z( ) 是起点, z( ) 是终点,则 ( )d [ ( )] ( )d C f z z f z t z t t = u x t y t x t v x t y t y t t [ ( ), ( )] ( ) [ ( ), ( )] ( ) d = − i v x t y t x t u x t y t y t t [ ( ), ( )] ( ) [ ( ), ( )] ( ) d . + + u x t y t iv x t y t x t iy t t [ ( ), ( )] [ ( ), ( )] ( ) ( ) d = + +