1 / | | 4 | x | ------------- dx | 3 2 | x - 3*x + 2 | / 0
Integral(x^4/(x^3 - 3*x^2 + 2), (x, 0, 1))
// / ___ \ \ || ___ |\/ 3 *(-1 + x)| | / ||-\/ 3 *acoth|--------------| | | || \ 3 / 2 | | 4 2 ||----------------------------- for (-1 + x) > 3| / 2 \ | x x || 3 | log(-1 + x) 14*log\-2 + x - 2*x/ | ------------- dx = C + -- + 3*x + 16*|< | - ----------- + --------------------- | 3 2 2 || / ___ \ | 3 3 | x - 3*x + 2 || ___ |\/ 3 *(-1 + x)| | | ||-\/ 3 *atanh|--------------| | / || \ 3 / 2 | ||----------------------------- for (-1 + x) < 3| \\ 3 /
/ / 2\\ | | / ___\ || | | |14 8*\/ 3 | || / ___\ | | ___ 45*|-- + -------| || |14 8*\/ 3 | | | 463 129*\/ 3 \3 3 / || pi*I oo - |-- + -------|*|pi*I + log|- --- - --------- + ------------------|| + ---- \3 3 / \ \ 22 11 88 // 3
=
/ / 2\\ | | / ___\ || | | |14 8*\/ 3 | || / ___\ | | ___ 45*|-- + -------| || |14 8*\/ 3 | | | 463 129*\/ 3 \3 3 / || pi*I oo - |-- + -------|*|pi*I + log|- --- - --------- + ------------------|| + ---- \3 3 / \ \ 22 11 88 // 3
oo - (14/3 + 8*sqrt(3)/3)*(pi*i + log(-463/22 - 129*sqrt(3)/11 + 45*(14/3 + 8*sqrt(3)/3)^2/88)) + pi*i/3
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.