Sr Examen
¿Cómo vas a descomponer esta atan(x/2)/16+x/(32+8*x^2) expresión en fracciones?
Solución
Ha introducido
[src]
/x\
atan|-|
\2/ x
------- + ---------
16 2
32 + 8*x
$$\frac{x}{8 x^{2} + 32} + \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{16}$$
atan(x/2)/16 + x/(32 + 8*x^2)
Simplificación general
[src]
/ 2\ /x\
2*x + \4 + x /*atan|-|
\2/
----------------------
/ 2\
16*\4 + x /
$$\frac{2 x + \left(x^{2} + 4\right) \operatorname{atan}{\left(\frac{x}{2} \right)}}{16 \left(x^{2} + 4\right)}$$
(2*x + (4 + x^2)*atan(x/2))/(16*(4 + x^2))
Respuesta numérica
[src]
0.0625*atan(x/2) + x/(32.0 + 8.0*x^2)
0.0625*atan(x/2) + x/(32.0 + 8.0*x^2)
Denominador racional
[src]
/ 2\ /x\
16*x + \32 + 8*x /*atan|-|
\2/
--------------------------
2
512 + 128*x
$$\frac{16 x + \left(8 x^{2} + 32\right) \operatorname{atan}{\left(\frac{x}{2} \right)}}{128 x^{2} + 512}$$
(16*x + (32 + 8*x^2)*atan(x/2))/(512 + 128*x^2)
Unión de expresiones racionales
[src]
/ 2\ /x\
2*x + \4 + x /*atan|-|
\2/
----------------------
/ 2\
16*\4 + x /
$$\frac{2 x + \left(x^{2} + 4\right) \operatorname{atan}{\left(\frac{x}{2} \right)}}{16 \left(x^{2} + 4\right)}$$
(2*x + (4 + x^2)*atan(x/2))/(16*(4 + x^2))
Combinatoria
[src]
/x\ 2 /x\
2*x + 4*atan|-| + x *atan|-|
\2/ \2/
----------------------------
/ 2\
16*\4 + x /
$$\frac{x^{2} \operatorname{atan}{\left(\frac{x}{2} \right)} + 2 x + 4 \operatorname{atan}{\left(\frac{x}{2} \right)}}{16 \left(x^{2} + 4\right)}$$
(2*x + 4*atan(x/2) + x^2*atan(x/2))/(16*(4 + x^2))