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0-1-x-7-x-3-1-x-4-1-dx-




Question Number 85374 by M±th+et£s last updated on 21/Mar/20
∫_0 ^1 ((x^7 +x^3 +1)/(x^4 +1)) dx
$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{7}} +{x}^{\mathrm{3}} +\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}}\:{dx}\: \\ $$
Commented by MJS last updated on 21/Mar/20
((x^7 +x^3 +1)/(x^4 +1))=x^3 +(1/(x^4 +1))  see my answer to qu. 85384
$$\frac{{x}^{\mathrm{7}} +{x}^{\mathrm{3}} +\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}}={x}^{\mathrm{3}} +\frac{\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}} \\ $$$$\mathrm{see}\:\mathrm{my}\:\mathrm{answer}\:\mathrm{to}\:\mathrm{qu}.\:\mathrm{85384} \\ $$
Commented by M±th+et£s last updated on 21/Mar/20
thank you sir
$${thank}\:{you}\:{sir} \\ $$

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