(1)∂u/∂x=3ax²-3y²∂u/∂y=-6xy∂v/∂x=6xy∂v/∂y=3x²-3y²根据C.-R.方程:∂u/∂x=∂v/∂y→a=1f‘(z)=∂u/∂x+i(∂v/∂x)=3x²-3y²+6ixy=3z²→f(z)=z³+C,由已知的u、v知C=0(2)C的参数方程为x=1,y=t,t∈[0,1]I=∫zImzdz=i∫(1+it)tdt(上限1下限0)=(i/2)-(1/3)