1 / | | x + 2 | ------------ dx | 2 | x + 4*x - 5 | / 0
Integral((x + 2)/(x^2 + 4*x - 5), (x, 0, 1))
/ | | x + 2 | ------------ dx | 2 | x + 4*x - 5 | /
/ 2*x + 4 \ |------------| | 2 | x + 2 \x + 4*x - 5/ ------------ = -------------- 2 2 x + 4*x - 5
/ | | x + 2 | ------------ dx | 2 = | x + 4*x - 5 | /
/ | | 2*x + 4 | ------------ dx | 2 | x + 4*x - 5 | / ------------------ 2
/ | | 2*x + 4 | ------------ dx | 2 | x + 4*x - 5 | / ------------------ 2
2 u = x + 4*x
/ | | 1 | ------ du | -5 + u | / log(-5 + u) ------------ = ----------- 2 2
/ | | 2*x + 4 | ------------ dx | 2 | x + 4*x - 5 | / 2 \ / log\-5 + x + 4*x/ ------------------ = ------------------ 2 2
/ 2 \ log\-5 + x + 4*x/ C + ------------------ 2
/ | / 2 \ | x + 2 log\x + 4*x - 5/ | ------------ dx = C + ----------------- | 2 2 | x + 4*x - 5 | /
pi*I -oo - ---- 2
=
pi*I -oo - ---- 2
-oo - pi*i/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.