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