不初等,用li函数表示,latex代码如下
-\frac{\left(x - \mathrm{i}\right) \ln^{2}\left(\mathrm{i}x + 1\right) - 2 \left(\left(x - \mathrm{i}\right) \ln\left(1 - \mathrm{i}x\right) + x\right) \ln\left(\mathrm{i}x + 1\right) + \left(x + \mathrm{i}\right) \ln^{2}\left(1 - \mathrm{i}x\right) + 4\mathrm{i} \operatorname{Li}_{2}\left(-\frac{\mathrm{i} \left(x + \mathrm{i}\right)}{2}\right) - 4\mathrm{i} \left(\ln\left(\mathrm{i}\right) + \ln\left(-2\mathrm{i}\right)\right) \ln\left(x + \mathrm{i}\right) + 2x \ln\left(x - \mathrm{i}\right) + 2 \ln\left(\mathrm{i}\right) \, x}{4}