Find ∫dxx6+1\int \frac{dx}{x^6+1}∫x6+1dx.
13arctanx−16arctan(2x−3)−16arctan(2x+3)+C\frac{1}{3} \arctan x - \frac{1}{6} \arctan(2x-\sqrt{3}) - \frac{1}{6} \arctan(2x+\sqrt{3}) + C31arctanx−61arctan(2x−3)−61arctan(2x+3)+C
16ln∣x2+1∣+…\frac{1}{6} \ln|x^2+1| + \dots61ln∣x2+1∣+…
arctan(x3)+C\arctan(x^3) + Carctan(x3)+C
12ln∣x2+1∣+…\frac{1}{2} \ln|x^2+1| + \dots21ln∣x2+1∣+…