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10.5: Valor principal de Cauchy
https://espanol.libretexts.org/Matematicas/Analisis/Variables_complejas_con_aplicaciones_(Orloff)/10%3A_Integrales_definidas_usando_el_teorema_de_residuos/10.05%3A_Valor_principal_de_Cauchy
$\text{p.v. } \int_{-\infty}^{\infty} f(x)\ dx = \lim \int_{-R}^{x_1 - r_1} f(x)\ dx + \int_{x_1 + r_1}^{x_2 - r_2} + \int_{x_2 + r_2}^{x_3 - r_3} + \ ... \int_{x_n + r_n}^{R} f(x)\ dx.$ \[\begin{ar... $\text{p.v. } \int_{-\infty}^{\infty} f(x)\ dx = \lim \int_{-R}^{x_1 - r_1} f(x)\ dx + \int_{x_1 + r_1}^{x_2 - r_2} + \int_{x_2 + r_2}^{x_3 - r_3} + \ ... \int_{x_n + r_n}^{R} f(x)\ dx.$ $\begin{array} {r} {\lim_{R_1 \to \infty , a_1 \to 0} \int_{-R_1}^{x_1 - a_1} f(x)\ dx} \\ {\lim_{b_1 \to 0, a_2 \to 0} \int_{x_1 + b_1}^{x_2 - a_2} f(x) \ dx} \\ {...} \\ {\lim_{R_2 \to \infty , b_n \to 0} \int_{x_n + b_n}^{R_2} f(x) \ dx.} \end{array}$

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