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Question Number 211738 by MrGaster last updated on 19/Sep/24

$$$$$$\int \frac{1}{{\mathit{x}}^5+1}\mathit{d}\mathit{x}.$$$$$$

Commented by Frix last updated on 19/Sep/24

$$=\int \frac{dx}{(x+1)(x^2-\frac{1+\sqrt{5}}{2}x+1)(x^2-\frac{1-\sqrt{5}}{2}x+1)}$$$$\mathrm{Now}\mathrm{decompose}\mathrm{and}{\mathrm{you}}^{\prime }\mathrm{re}\mathrm{done}.{\mathrm{It}}^{\prime }\mathrm{s}\mathrm{more}$$$$\mathrm{a}\mathrm{writing}\mathrm{exercise}...$$

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