1 / | | x | -------- dx | 2 | 1 + 9*x | / 0
Integral(x/(1 + 9*x^2), (x, 0, 1))
/ | | x | -------- dx | 2 | 1 + 9*x | /
/ 9*2*x \ |--------------| /0\ | 2 | |-| x \9*x + 0*x + 1/ \1/ -------- = ---------------- + ----------- 2 18 2 1 + 9*x (-3*x) + 1
/ | | x | -------- dx | 2 = | 1 + 9*x | /
/ | | 9*2*x | -------------- dx | 2 | 9*x + 0*x + 1 | / -------------------- 18
/ | | 9*2*x | -------------- dx | 2 | 9*x + 0*x + 1 | / -------------------- 18
2 u = 9*x
/ | | 1 | ----- du | 1 + u | / log(1 + u) ----------- = ---------- 18 18
/ | | 9*2*x | -------------- dx | 2 | 9*x + 0*x + 1 | / 2\ / log\1 + 9*x / -------------------- = ------------- 18 18
0
v = -3*x
True
True
/ 2\ log\1 + 9*x / C + ------------- 18
/ | / 2\ | x log\1 + 9*x / | -------- dx = C + ------------- | 2 18 | 1 + 9*x | /
log(10) ------- 18
=
log(10) ------- 18
log(10)/18
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.