1 / | | 1 - 7*x | ------------------- dx | ________________ | / 2 | \/ 1 - 4*x - 5*x | / 0
Integral((1 - 7*x)/sqrt(1 - 4*x - 5*x^2), (x, 0, 1))
/ / / | | | | 1 - 7*x | x | 1 | ------------------- dx = C - 7* | ----------------------- dx + | ------------------- dx | ________________ | _____________________ | ________________ | / 2 | \/ -(1 + x)*(-1 + 5*x) | / 2 | \/ 1 - 4*x - 5*x | | \/ 1 - 5*x - 4*x | / | / /
1 1 / / | | | -1 | 7*x - | --------------------- dx - | --------------------- dx | _______ _________ | _______ _________ | \/ 1 + x *\/ 1 - 5*x | \/ 1 + x *\/ 1 - 5*x | | / / 0 0
=
1 1 / / | | | -1 | 7*x - | --------------------- dx - | --------------------- dx | _______ _________ | _______ _________ | \/ 1 + x *\/ 1 - 5*x | \/ 1 + x *\/ 1 - 5*x | | / / 0 0
-Integral(-1/(sqrt(1 + x)*sqrt(1 - 5*x)), (x, 0, 1)) - Integral(7*x/(sqrt(1 + x)*sqrt(1 - 5*x)), (x, 0, 1))
(0.0419320739841603 + 1.42121877823999j)
(0.0419320739841603 + 1.42121877823999j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.