Question Number 85374 by M±th+et£s last updated on 21/Mar/20
$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{7}} +{x}^{\mathrm{3}} +\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}}\:{dx}\: \\ $$
Commented by MJS last updated on 21/Mar/20
$$\frac{{x}^{\mathrm{7}} +{x}^{\mathrm{3}} +\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}}={x}^{\mathrm{3}} +\frac{\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}} \\ $$$$\mathrm{see}\:\mathrm{my}\:\mathrm{answer}\:\mathrm{to}\:\mathrm{qu}.\:\mathrm{85384} \\ $$
Commented by M±th+et£s last updated on 21/Mar/20
$${thank}\:{you}\:{sir} \\ $$