Question Number 126746 by bemath last updated on 24/Dec/20
$$\:\:\int\:\frac{{dx}}{\mathrm{tan}\:^{\mathrm{5}} {x}+\mathrm{1}}\:? \\ $$
Commented by MJS_new last updated on 24/Dec/20
$${t}=\mathrm{tan}\:{x}\:\mathrm{leads}\:\mathrm{to} \\ $$$$\int\frac{{dt}}{\left({t}^{\mathrm{2}} +\mathrm{1}\right)\left({t}^{\mathrm{5}} +\mathrm{1}\right)} \\ $$$$\mathrm{now}\:\mathrm{we}\:\mathrm{must}\:\mathrm{decompose}... \\ $$