Question Number 191409 by null last updated on 23/Apr/23
Answered by senestro last updated on 24/Apr/23
$$−\frac{{x}}{\mathrm{6}\left(\mathrm{1}+{x}^{\mathrm{3}} \right)^{\mathrm{2}} }+\frac{{x}}{\mathrm{18}\left(\mathrm{1}+{x}^{\mathrm{3}} \right)}+\frac{\mathrm{1}}{\mathrm{9}}\mathrm{ln}\:\left(\frac{\left(\mathrm{1}+{x}\right)^{\mathrm{3}} }{\mathrm{1}+{x}^{\mathrm{3}} }\right)+\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}{arctan}\left(\frac{\mathrm{2}{x}−\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right)+{C} \\ $$