Sr Examen
¿Cómo vas a descomponer esta atan(x/3)/54+x/(162+18*x^2) expresión en fracciones?
Solución
Ha introducido
[src]
/x\
atan|-|
\3/ x
------- + -----------
54 2
162 + 18*x
$$\frac{x}{18 x^{2} + 162} + \frac{\operatorname{atan}{\left(\frac{x}{3} \right)}}{54}$$
atan(x/3)/54 + x/(162 + 18*x^2)
Simplificación general
[src]
/ 2\ /x\
3*x + \9 + x /*atan|-|
\3/
----------------------
/ 2\
54*\9 + x /
$$\frac{3 x + \left(x^{2} + 9\right) \operatorname{atan}{\left(\frac{x}{3} \right)}}{54 \left(x^{2} + 9\right)}$$
(3*x + (9 + x^2)*atan(x/3))/(54*(9 + x^2))
Respuesta numérica
[src]
0.0185185185185185*atan(x/3) + x/(162.0 + 18.0*x^2)
0.0185185185185185*atan(x/3) + x/(162.0 + 18.0*x^2)
Unión de expresiones racionales
[src]
/ 2\ /x\
3*x + \9 + x /*atan|-|
\3/
----------------------
/ 2\
54*\9 + x /
$$\frac{3 x + \left(x^{2} + 9\right) \operatorname{atan}{\left(\frac{x}{3} \right)}}{54 \left(x^{2} + 9\right)}$$
(3*x + (9 + x^2)*atan(x/3))/(54*(9 + x^2))
Combinatoria
[src]
/x\ 2 /x\
3*x + 9*atan|-| + x *atan|-|
\3/ \3/
----------------------------
/ 2\
54*\9 + x /
$$\frac{x^{2} \operatorname{atan}{\left(\frac{x}{3} \right)} + 3 x + 9 \operatorname{atan}{\left(\frac{x}{3} \right)}}{54 \left(x^{2} + 9\right)}$$
(3*x + 9*atan(x/3) + x^2*atan(x/3))/(54*(9 + x^2))
Denominador racional
[src]
/ 2\ /x\
54*x + \162 + 18*x /*atan|-|
\3/
----------------------------
2
8748 + 972*x
$$\frac{54 x + \left(18 x^{2} + 162\right) \operatorname{atan}{\left(\frac{x}{3} \right)}}{972 x^{2} + 8748}$$
(54*x + (162 + 18*x^2)*atan(x/3))/(8748 + 972*x^2)