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archimedes_constant_π [2013/09/12 13:34] nikolaj |
archimedes_constant_π [2013/09/12 13:34] nikolaj |
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| === Theorems === | === Theorems === | ||
| - | ^ $\frac{\pi}{4}=\int_{0}^{1}\frac{1}{1+x^2}\mathrm d x=\cdot\sum_{k=0}^\infty \frac{(-1)^k}{2k+1}$ ^ | + | ^ $\frac{\pi}{4}=\int_{0}^{1}\frac{1}{1+x^2}\mathrm d x=\sum_{k=0}^\infty \frac{(-1)^k}{2k+1}$ ^ |
| === Reference === | === Reference === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Pi|Pi]] | Wikipedia: [[http://en.wikipedia.org/wiki/Pi|Pi]] | ||
