0 / | | 1 | -------- dx | 2 | 1 + 4*x | / 0
Integral(1/(1 + 4*x^2), (x, 0, 0))
/ | | 1 | -------- dx | 2 | 1 + 4*x | /
1 1 -------- = --------------- 2 / 2 \ 1 + 4*x 1*\(-2*x) + 1/
/ | | 1 | -------- dx | 2 = | 1 + 4*x | /
/ | | 1 | ----------- dx | 2 | (-2*x) + 1 | /
/ | | 1 | ----------- dx | 2 | (-2*x) + 1 | /
v = -2*x
/ | | 1 | ------ dv = atan(v) | 2 | 1 + v | /
/ | | 1 atan(2*x) | ----------- dx = --------- | 2 2 | (-2*x) + 1 | /
atan(2*x) C + --------- 2
/ | | 1 atan(2*x) | -------- dx = C + --------- | 2 2 | 1 + 4*x | /
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.