Buscar

Loading [MathJax]/jax/output/HTML-CSS/jax.js

8.7: Integración de Funciones Complejas y Vector-Valoradas
https://espanol.libretexts.org/Matematicas/Analisis/Libro%3A_An%C3%A1lisis_matem%C3%A1tico_(Zakon)/08%3A_Funciones_mensurables_e_integraci%C3%B3n/8.07%3A_Integraci%C3%B3n_de_Funciones_Complejas_y_Vector-Valoradas
\[\begin{aligned} \int_{A}(p f+q g)=& \int_{B}(p f+q g)=\lim \int_{B}\left(p f_{n}+q g_{n}\right) \\ &=\lim \left(p \int_{B} f_{n}+q \int_{B} g_{n}\right)=p \int_{B} f+q \int_{B} g=p \int_{A} f+q \int... $\begin{aligned} \int_{A}(p f+q g)=& \int_{B}(p f+q g)=\lim \int_{B}\left(p f_{n}+q g_{n}\right) \\ &=\lim \left(p \int_{B} f_{n}+q \int_{B} g_{n}\right)=p \int_{B} f+q \int_{B} g=p \int_{A} f+q \int_{A} g. \end{aligned}$ $\int_{A} f=\lim _{i \rightarrow \infty} \int_{B} f_{i}=\lim _{i \rightarrow \infty} \sum_{k=1}^{n} \int_{B_{k}} f_{i}=\sum_{k=1}^{n}\left(\lim _{i \rightarrow \infty} \int_{A_{k}} f_{i}\right)=\sum_{k=1}^{n} \int_{A_{k}} f.$

Search