¿Cómo vas a descomponer esta exp(x*ln((x+1)/(x-1))) expresión en fracciones?

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)))

Respuesta numérica [src]

exp(x*log((x + 1)/(x - 1)))

exp(x*log((x + 1)/(x - 1)))

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)))