Sr Examen
¿Cómo vas a descomponer esta atan(x)/2+(x-3)/(2+2*x^2) expresión en fracciones?
Solución
Ha introducido
[src]
atan(x) x - 3
------- + --------
2 2
2 + 2*x
$$\frac{x - 3}{2 x^{2} + 2} + \frac{\operatorname{atan}{\left(x \right)}}{2}$$
atan(x)/2 + (x - 3)/(2 + 2*x^2)
Simplificación general
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/ 2\
-3 + x + \1 + x /*atan(x)
-------------------------
/ 2\
2*\1 + x /
$$\frac{x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)} - 3}{2 \left(x^{2} + 1\right)}$$
(-3 + x + (1 + x^2)*atan(x))/(2*(1 + x^2))
Respuesta numérica
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0.5*atan(x) + (-3.0 + x)/(2.0 + 2.0*x^2)
0.5*atan(x) + (-3.0 + x)/(2.0 + 2.0*x^2)
Unión de expresiones racionales
[src]
/ 2\
-3 + x + \1 + x /*atan(x)
-------------------------
/ 2\
2*\1 + x /
$$\frac{x + \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)} - 3}{2 \left(x^{2} + 1\right)}$$
(-3 + x + (1 + x^2)*atan(x))/(2*(1 + x^2))
Combinatoria
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2
-3 + x + x *atan(x) + atan(x)
-----------------------------
/ 2\
2*\1 + x /
$$\frac{x^{2} \operatorname{atan}{\left(x \right)} + x + \operatorname{atan}{\left(x \right)} - 3}{2 \left(x^{2} + 1\right)}$$
(-3 + x + x^2*atan(x) + atan(x))/(2*(1 + x^2))
Denominador racional
[src]
/ 2\
-6 + 2*x + \2 + 2*x /*atan(x)
-----------------------------
2
4 + 4*x
$$\frac{2 x + \left(2 x^{2} + 2\right) \operatorname{atan}{\left(x \right)} - 6}{4 x^{2} + 4}$$
(-6 + 2*x + (2 + 2*x^2)*atan(x))/(4 + 4*x^2)