需要算出1+x^4=0的四个复数根如下 2^(1/2)*(i/2 + 1/2) 2^(1/2)*(1/2 - i/2) 2^(1/2)*(i/2 - 1/2) 2^(1/2)*(- i/2 - 1/2)然后分解部分分式最后结果如下2^(1/2)*atan(2^(1/2)*x*(1/2 - i/2))*(i/4 + 1/4) + 2^(1/2)*atan(2^(1/2)*x*(i/2 + 1/2))*(1/4 - i/4)+C