1 / | | 3 _________ | \/ 3*x + 5 - 1 | ------------------------- dx | _________ 3 _________ | \/ 3*x + 5 + \/ 3*x + 5 | / 0
Integral(((3*x + 5)^(1/3) - 1)/(sqrt(3*x + 5) + (3*x + 5)^(1/3)), (x, 0, 1))
/ / | / | | 3 _________ | | 3 _________ | \/ 3*x + 5 - 1 | 1 | \/ 5 + 3*x | ------------------------- dx = C - | ------------------------- dx + | ------------------------- dx | _________ 3 _________ | _________ 3 _________ | _________ 3 _________ | \/ 3*x + 5 + \/ 3*x + 5 | \/ 3*x + 5 + \/ 3*x + 5 | \/ 5 + 3*x + \/ 5 + 3*x | | | / / /
1 / | | 3 _________ | -1 + \/ 5 + 3*x | ------------------------- dx | _________ 3 _________ | \/ 5 + 3*x + \/ 5 + 3*x | / 0
=
1 / | | 3 _________ | -1 + \/ 5 + 3*x | ------------------------- dx | _________ 3 _________ | \/ 5 + 3*x + \/ 5 + 3*x | / 0
Integral((-1 + (5 + 3*x)^(1/3))/(sqrt(5 + 3*x) + (5 + 3*x)^(1/3)), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.