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Question Number 103723 by Ar Brandon last updated on 16/Jul/20

$$\mathrm{Solve}\mathrm{for}\mathrm{n},\mathrm{such}\mathrm{that};$$$$1-\frac{1}{2}+\cdot \cdot \cdot +\frac{{(-1)}^{\mathrm{n}}}{\mathrm{n}+1}={\int }_0^1\frac{{\mathrm{x}}^{\mathrm{n}+1}}{1+\mathrm{x}}\mathrm{dx}-\ln 2-{(-1)}^{\mathrm{n}+1}$$

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