15ℓn∣5+2x−15−2x+1∣+c\frac{1}{\sqrt{5}} \ell n \left|\frac{\sqrt{5}+2 x-1}{\sqrt{5}-2 x+1}\right|+c51ℓn5−2x+15+2x−1+c
125ℓn∣5+2x−15−x+2x∣+c\frac{1}{2 \sqrt{5}} \ell n \left|\frac{\sqrt{5}+2 x-1}{\sqrt{5}-x+2 x}\right|+c251ℓn5−x+2x5+2x−1+c
15tan−1∣5+x5−x∣+c\frac{1}{\sqrt{5}} \tan ^{-1}\left|\frac{\sqrt{5}+x}{\sqrt{5}-x}\right|+c51tan−15−x5+x+c
14tan−1∣x−5x+5∣+c\frac{1}{4} \tan ^{-1}\left|\frac{x-\sqrt{5}}{x+\sqrt{5}}\right|+c41tan−1x+5x−5+c