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| === Examples === | === Examples === | ||
| - | $\mathcal P\int_{-3}^7\left(\lambda x.\frac{1}{x}\right)=\int_{-3}^{-\varepsilon}\frac{1}{x}\,\mathrm dx+\int_{\varepsilon}^{7}\frac{1}{x}\,\mathrm dx=\left(\log(-\varepsilon)-\log(-3)\right)+\left(\log(7)-\log(\varepsilon)\right)=\log(\frac{7}{3})$ | + | $\mathcal P\int_{-3}^7\left(\lambda x.\frac{1}{x}\right)=\int_{-3}^{-\varepsilon}\frac{1}{x}\,\mathrm dx+\int_{\varepsilon}^{7}\frac{1}{x}\,\mathrm dx=\left(\log(+\varepsilon)-\log(+3)\right)+\left(\log(7)-\log(\varepsilon)\right)=\log(\frac{7}{3})$ |
| === Reference === | === Reference === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Cauchy_principal_value|Cauchy principal value]] | Wikipedia: [[http://en.wikipedia.org/wiki/Cauchy_principal_value|Cauchy principal value]] | ||
