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