1 / | | x | ------ dx | 2 | 7 + x | / 0
Integral(x/(7 + x^2), (x, 0, 1))
/ | | x | ------ dx | 2 | 7 + x | /
/ 2*x \ |------------| /0\ | 2 | |-| x \x + 0*x + 7/ \7/ ------ = -------------- + ---------------- 2 2 2 7 + x / ___ \ |-\/ 7 | |-------*x| + 1 \ 7 /
/ | | x | ------ dx | 2 = | 7 + x | /
/ | | 2*x | ------------ dx | 2 | x + 0*x + 7 | / ------------------ 2
/ | | 2*x | ------------ dx | 2 | x + 0*x + 7 | / ------------------ 2
2 u = x
/ | | 1 | ----- du | 7 + u | / log(7 + u) ----------- = ---------- 2 2
/ | | 2*x | ------------ dx | 2 | x + 0*x + 7 | / 2\ / log\7 + x / ------------------ = ----------- 2 2
0
___ -x*\/ 7 v = --------- 7
True
True
/ 2\ log\7 + x / C + ----------- 2
/ | / 2\ | x log\7 + x / | ------ dx = C + ----------- | 2 2 | 7 + x | /
log(8) log(7) ------ - ------ 2 2
=
log(8) log(7) ------ - ------ 2 2
log(8)/2 - log(7)/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.