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Question Number 101998 by mathmax by abdo last updated on 06/Jul/20

$$1)\mathrm{solve}\mathrm{inside}\mathrm{C}{\mathrm{x}}^{\mathrm{n}}-{\mathrm{e}}^{-\mathrm{in}\alpha }=0\left(\alpha \mathrm{real}\right)$$$$2)\mathrm{let}\mathrm{P}\left(\mathrm{x}\right)={\mathrm{x}}^{\mathrm{n}}-{\mathrm{e}}^{-\mathrm{in}\alpha }\mathrm{factorize}\mathrm{P}\left(\mathrm{x}\right)\mathrm{inside}\mathrm{C}\left[\mathrm{x}\right]$$$$2)\mathrm{decompose}\mathrm{inside}\mathrm{C}\left(\mathrm{x}\right)\mathrm{thefraction}\mathrm{F}=\frac{1}{\mathrm{P}\left(\mathrm{x}\right)}$$$$\mathrm{and}\mathrm{deyermine}\int \mathrm{F}\left(\mathrm{x}\right)\mathrm{dx}$$

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