Simplificación general
[src]
/ 2\
-2*x + \-1 + x /*(-log(-1 + x) + log(1 + x))
--------------------------------------------
/ 2\
4*\-1 + x /
$$\frac{- 2 x + \left(x^{2} - 1\right) \left(- \log{\left(x - 1 \right)} + \log{\left(x + 1 \right)}\right)}{4 \left(x^{2} - 1\right)}$$
(-2*x + (-1 + x^2)*(-log(-1 + x) + log(1 + x)))/(4*(-1 + x^2))
log(-1 + x) log(1 + x) x
- ----------- + ---------- - ---------
4 4 2
-2 + 2*x
$$- \frac{x}{2 x^{2} - 2} - \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 1 \right)}}{4}$$
-log(-1 + x)/4 + log(1 + x)/4 - x/(-2 + 2*x^2)
2 2
-log(1 + x) - 2*x + x *log(1 + x) - x *log(-1 + x) + log(-1 + x)
----------------------------------------------------------------
4*(1 + x)*(-1 + x)
$$\frac{- x^{2} \log{\left(x - 1 \right)} + x^{2} \log{\left(x + 1 \right)} - 2 x + \log{\left(x - 1 \right)} - \log{\left(x + 1 \right)}}{4 \left(x - 1\right) \left(x + 1\right)}$$
(-log(1 + x) - 2*x + x^2*log(1 + x) - x^2*log(-1 + x) + log(-1 + x))/(4*(1 + x)*(-1 + x))
Denominador racional
[src]
2 2
-log(1 + x) - 2*x + x *log(1 + x) - x *log(-1 + x) + log(-1 + x)
----------------------------------------------------------------
2
-4 + 4*x
$$\frac{- x^{2} \log{\left(x - 1 \right)} + x^{2} \log{\left(x + 1 \right)} - 2 x + \log{\left(x - 1 \right)} - \log{\left(x + 1 \right)}}{4 x^{2} - 4}$$
(-log(1 + x) - 2*x + x^2*log(1 + x) - x^2*log(-1 + x) + log(-1 + x))/(-4 + 4*x^2)
Unión de expresiones racionales
[src]
/ 2\
-2*x + \-1 + x /*(-log(-1 + x) + log(1 + x))
--------------------------------------------
/ 2\
4*\-1 + x /
$$\frac{- 2 x + \left(x^{2} - 1\right) \left(- \log{\left(x - 1 \right)} + \log{\left(x + 1 \right)}\right)}{4 \left(x^{2} - 1\right)}$$
(-2*x + (-1 + x^2)*(-log(-1 + x) + log(1 + x)))/(4*(-1 + x^2))
Parte trigonométrica
[src]
log(-1 + x) log(1 + x) x
- ----------- + ---------- - ---------
4 4 2
-2 + 2*x
$$- \frac{x}{2 x^{2} - 2} - \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 1 \right)}}{4}$$
-log(-1 + x)/4 + log(1 + x)/4 - x/(-2 + 2*x^2)
log(-1 + x) log(1 + x) x
- ----------- + ---------- - ---------
4 4 2
-2 + 2*x
$$- \frac{x}{2 x^{2} - 2} - \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 1 \right)}}{4}$$
-log(-1 + x)/4 + log(1 + x)/4 - x/(-2 + 2*x^2)
Compilar la expresión
[src]
log(x - 1) log(x + 1) x
- ---------- + ---------- - ---------
4 4 2
-2 + 2*x
$$- \frac{x}{2 x^{2} - 2} - \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 1 \right)}}{4}$$
-log(x - 1)/4 + log(x + 1)/4 - x/(-2 + 2*x^2)
0.25*log(x + 1) - 0.25*log(x - 1) - x/(-2.0 + 2.0*x^2)
0.25*log(x + 1) - 0.25*log(x - 1) - x/(-2.0 + 2.0*x^2)