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