Sr Examen
¿Cómo vas a descomponer esta exp(x*ln((x+1)/(x-1))) expresión en fracciones?
Solución
Ha introducido
[src]
/x + 1\
x*log|-----|
\x - 1/
e
$$e^{x \log{\left(\frac{x + 1}{x - 1} \right)}}$$
exp(x*log((x + 1)/(x - 1)))
Descomposición de una fracción
[src]
exp(x*log(1/(x - 1) + x/(x - 1)))
$$e^{x \log{\left(\frac{x}{x - 1} + \frac{1}{x - 1} \right)}}$$
/ 1 x \
x*log|----- + -----|
\x - 1 x - 1/
e
Denominador común
[src]
/ 1 x \
x*log|------ + ------|
\-1 + x -1 + x/
e
$$e^{x \log{\left(\frac{x}{x - 1} + \frac{1}{x - 1} \right)}}$$
exp(x*log(1/(-1 + x) + x/(-1 + x)))
Parte trigonométrica
[src]
/ /1 + x \\ / /1 + x \\
cosh|x*log|------|| + sinh|x*log|------||
\ \-1 + x// \ \-1 + x//
$$\sinh{\left(x \log{\left(\frac{x + 1}{x - 1} \right)} \right)} + \cosh{\left(x \log{\left(\frac{x + 1}{x - 1} \right)} \right)}$$
cosh(x*log((1 + x)/(-1 + x))) + sinh(x*log((1 + x)/(-1 + x)))
Combinatoria
[src]
/ 1 x \
x*log|------ + ------|
\-1 + x -1 + x/
e
$$e^{x \log{\left(\frac{x}{x - 1} + \frac{1}{x - 1} \right)}}$$
exp(x*log(1/(-1 + x) + x/(-1 + x)))