Sr Examen
¿Cómo vas a descomponer esta log(x)-1/x-1/(2*x^2) expresión en fracciones?
Solución
Ha introducido
[src]
1 1
log(x) - - - ----
x 2
2*x
$$\left(\log{\left(x \right)} - \frac{1}{x}\right) - \frac{1}{2 x^{2}}$$
log(x) - 1/x - 1/(2*x^2)
Simplificación general
[src]
1 1
- - - ---- + log(x)
x 2
2*x
$$\log{\left(x \right)} - \frac{1}{x} - \frac{1}{2 x^{2}}$$
-1/x - 1/(2*x^2) + log(x)
Denominador común
[src]
1 + 2*x
- ------- + log(x)
2
2*x
$$\log{\left(x \right)} - \frac{2 x + 1}{2 x^{2}}$$
-(1 + 2*x)/(2*x^2) + log(x)
Denominador racional
[src]
2
-x + 2*x *(-1 + x*log(x))
-------------------------
3
2*x
$$\frac{2 x^{2} \left(x \log{\left(x \right)} - 1\right) - x}{2 x^{3}}$$
(-x + 2*x^2*(-1 + x*log(x)))/(2*x^3)
Potencias
[src]
1 1
- - - ---- + log(x)
x 2
2*x
$$\log{\left(x \right)} - \frac{1}{x} - \frac{1}{2 x^{2}}$$
-1/x - 1/(2*x^2) + log(x)
Unión de expresiones racionales
[src]
-1 + 2*x*(-1 + x*log(x))
------------------------
2
2*x
$$\frac{2 x \left(x \log{\left(x \right)} - 1\right) - 1}{2 x^{2}}$$
(-1 + 2*x*(-1 + x*log(x)))/(2*x^2)
Compilar la expresión
[src]
1 1
- - - ---- + log(x)
x 2
2*x
$$\log{\left(x \right)} - \frac{1}{x} - \frac{1}{2 x^{2}}$$
-1/x - 1/(2*x^2) + log(x)
Parte trigonométrica
[src]
1 1
- - - ---- + log(x)
x 2
2*x
$$\log{\left(x \right)} - \frac{1}{x} - \frac{1}{2 x^{2}}$$
-1/x - 1/(2*x^2) + log(x)
Combinatoria
[src]
2
-1 - 2*x + 2*x *log(x)
----------------------
2
2*x
$$\frac{2 x^{2} \log{\left(x \right)} - 2 x - 1}{2 x^{2}}$$
(-1 - 2*x + 2*x^2*log(x))/(2*x^2)