Welcome to lmhhh's Note!

This is KateX Test:

\[ \int \frac{1}{1+x^{5}}dx=\dfrac{\ln\left(\left|x+1\right|\right)}{5}+\left(\dfrac{1}{4\,\sqrt{5}}-\dfrac{1}{20}\right)\,\ln\left(2\,{x}^{2}+\left(\sqrt{5}-1\right)\,x+2\right)+\left(-\dfrac{1}{4\,\sqrt{5}}-\dfrac{1}{20}\right)\,\ln\left(2\,{x}^{2}+\left(-\sqrt{5}-1\right)\,x+2\right)+\dfrac{\sqrt{2\,\sqrt{5}+10}\,\arctan\left(\frac{x+\frac{\sqrt{5}-1}{4}}{\sqrt{\frac{\sqrt{5}}{8}+\frac{5}{8}}}\right)}{10}+\dfrac{\sqrt{10-2\,\sqrt{5}}\,\arctan\left(\frac{2\,\sqrt{2}\,\left(x+\frac{-\sqrt{5}-1}{4}\right)}{\sqrt{5-\sqrt{5}}}\right)}{10}+C \]