Sr Examen
¿Cómo vas a descomponer esta atan(x)/2-(x+11)/(2+2*x^2) expresión en fracciones?
Solución
Ha introducido
[src]
atan(x) x + 11
------- - --------
2 2
2 + 2*x
$$- \frac{x + 11}{2 x^{2} + 2} + \frac{\operatorname{atan}{\left(x \right)}}{2}$$
atan(x)/2 - (x + 11)/(2 + 2*x^2)
Simplificación general
[src]
/ 2\
-11 - x + \1 + x /*atan(x)
--------------------------
/ 2\
2*\1 + x /
$$\frac{- x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)} - 11}{2 \left(x^{2} + 1\right)}$$
(-11 - x + (1 + x^2)*atan(x))/(2*(1 + x^2))
Respuesta numérica
[src]
0.5*atan(x) - (11.0 + x)/(2.0 + 2.0*x^2)
0.5*atan(x) - (11.0 + x)/(2.0 + 2.0*x^2)
Denominador racional
[src]
/ 2\
-22 - 2*x + \2 + 2*x /*atan(x)
------------------------------
2
4 + 4*x
$$\frac{- 2 x + \left(2 x^{2} + 2\right) \operatorname{atan}{\left(x \right)} - 22}{4 x^{2} + 4}$$
(-22 - 2*x + (2 + 2*x^2)*atan(x))/(4 + 4*x^2)
Unión de expresiones racionales
[src]
/ 2\
-11 - x + \1 + x /*atan(x)
--------------------------
/ 2\
2*\1 + x /
$$\frac{- x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)} - 11}{2 \left(x^{2} + 1\right)}$$
(-11 - x + (1 + x^2)*atan(x))/(2*(1 + x^2))
Potencias
[src]
atan(x) -11 - x
------- + --------
2 2
2 + 2*x
$$\frac{- x - 11}{2 x^{2} + 2} + \frac{\operatorname{atan}{\left(x \right)}}{2}$$
atan(x)/2 + (-11 - x)/(2 + 2*x^2)
Combinatoria
[src]
2
-11 - x + x *atan(x) + atan(x)
------------------------------
/ 2\
2*\1 + x /
$$\frac{x^{2} \operatorname{atan}{\left(x \right)} - x + \operatorname{atan}{\left(x \right)} - 11}{2 \left(x^{2} + 1\right)}$$
(-11 - x + x^2*atan(x) + atan(x))/(2*(1 + x^2))