Solve-for-n-such-that-1-1-2-1-n-n-1-0-1-x-n-1-1-x-dx-ln2-1-n-1-

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

Solve for n, such that;

1 - \frac{1}{2} + \cdot \cdot \cdot + \frac{{(- 1)}^{n}}{n + 1} = \int_{0}^{1} \frac{x^{n + 1}}{1 + x} dx - \ln 2 - {(- 1)}^{n + 1}