1 / | | 1 | ------------------- dx | 5*cos(x) - 2*sin(x) | / 0
Integral(1/(5*cos(x) - 2*sin(x)), (x, 0, 1))
/ ____ \ / ____ \ / ____ |2 \/ 29 /x\| ____ |2 \/ 29 /x\| | \/ 29 *log|- - ------ + tan|-|| \/ 29 *log|- + ------ + tan|-|| | 1 \5 5 \2// \5 5 \2// | ------------------- dx = C - ------------------------------- + ------------------------------- | 5*cos(x) - 2*sin(x) 29 29 | /
/ / ____\\ / ____\ / / ____\\ / ____ \ ____ | | 2 \/ 29 || ____ |2 \/ 29 | ____ | | 2 \/ 29 || ____ |2 \/ 29 | \/ 29 *|pi*I + log|- - - tan(1/2) + ------|| \/ 29 *log|- + ------| \/ 29 *|pi*I + log|- - + ------|| \/ 29 *log|- + ------ + tan(1/2)| \ \ 5 5 // \5 5 / \ \ 5 5 // \5 5 / - -------------------------------------------- - ---------------------- + --------------------------------- + --------------------------------- 29 29 29 29
=
/ / ____\\ / ____\ / / ____\\ / ____ \ ____ | | 2 \/ 29 || ____ |2 \/ 29 | ____ | | 2 \/ 29 || ____ |2 \/ 29 | \/ 29 *|pi*I + log|- - - tan(1/2) + ------|| \/ 29 *log|- + ------| \/ 29 *|pi*I + log|- - + ------|| \/ 29 *log|- + ------ + tan(1/2)| \ \ 5 5 // \5 5 / \ \ 5 5 // \5 5 / - -------------------------------------------- - ---------------------- + --------------------------------- + --------------------------------- 29 29 29 29
-sqrt(29)*(pi*i + log(-2/5 - tan(1/2) + sqrt(29)/5))/29 - sqrt(29)*log(2/5 + sqrt(29)/5)/29 + sqrt(29)*(pi*i + log(-2/5 + sqrt(29)/5))/29 + sqrt(29)*log(2/5 + sqrt(29)/5 + tan(1/2))/29
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.