1 / | | 5*x | -------- dx | 2 | 3 + 9*x | / 0
Integral((5*x)/(3 + 9*x^2), (x, 0, 1))
/ | | 5*x | -------- dx | 2 | 3 + 9*x | /
9*2*x 5*-------------- /0\ 2 |-| 5*x 9*x + 0*x + 3 \3/ -------- = ---------------- + --------------- 2 18 2 3 + 9*x / ___ \ \-\/ 3 *x/ + 1
/ | | 5*x | -------- dx | 2 = | 3 + 9*x | /
/ | | 9*2*x 5* | -------------- dx | 2 | 9*x + 0*x + 3 | / ---------------------- 18
/ | | 9*2*x 5* | -------------- dx | 2 | 9*x + 0*x + 3 | / ---------------------- 18
2 u = 9*x
/ | | 1 5* | ----- du | 3 + u | / 5*log(3 + u) ------------- = ------------ 18 18
/ | | 9*2*x 5* | -------------- dx | 2 | 9*x + 0*x + 3 | / 2\ / 5*log\1 + 3*x / ---------------------- = --------------- 18 18
0
___ v = -x*\/ 3
True
True
/ 2\ 5*log\1 + 3*x / C + --------------- 18
/ | / 2\ | 5*x 5*log\3 + 9*x / | -------- dx = C + --------------- | 2 18 | 3 + 9*x | /
5*log(4) -------- 18
=
5*log(4) -------- 18
5*log(4)/18
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.