1 / | | 1 | ------------ dx | 2*sin(x) + 5 | / 0
Integral(1/(2*sin(x) + 5), (x, 0, 1))
/ /x pi\ / ____ /x\\\ | |- - --| | ____ 5*\/ 21 *tan|-||| / ____ | |2 2 | |2*\/ 21 \2/|| | 2*\/ 21 *|pi*floor|------| + atan|-------- + ---------------|| | 1 \ \ pi / \ 21 21 // | ------------ dx = C + -------------------------------------------------------------- | 2*sin(x) + 5 21 | /
/ / ____\\ / / ____ ____ \\ ____ | |2*\/ 21 || ____ | |2*\/ 21 5*\/ 21 *tan(1/2)|| 2*\/ 21 *|-pi + atan|--------|| 2*\/ 21 *|-pi + atan|-------- + -----------------|| \ \ 21 // \ \ 21 21 // - ------------------------------- + --------------------------------------------------- 21 21
=
/ / ____\\ / / ____ ____ \\ ____ | |2*\/ 21 || ____ | |2*\/ 21 5*\/ 21 *tan(1/2)|| 2*\/ 21 *|-pi + atan|--------|| 2*\/ 21 *|-pi + atan|-------- + -----------------|| \ \ 21 // \ \ 21 21 // - ------------------------------- + --------------------------------------------------- 21 21
-2*sqrt(21)*(-pi + atan(2*sqrt(21)/21))/21 + 2*sqrt(21)*(-pi + atan(2*sqrt(21)/21 + 5*sqrt(21)*tan(1/2)/21))/21
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.