Sr Examen
¿Cómo vas a descomponer esta atan(2*x)/x+2*log(x)/(1+4*x^2) expresión en fracciones?
Solución
Ha introducido
[src]
atan(2*x) 2*log(x)
--------- + --------
x 2
1 + 4*x
$$\frac{2 \log{\left(x \right)}}{4 x^{2} + 1} + \frac{\operatorname{atan}{\left(2 x \right)}}{x}$$
atan(2*x)/x + (2*log(x))/(1 + 4*x^2)
Simplificación general
[src]
/ 2\
\1 + 4*x /*atan(2*x) + 2*x*log(x)
---------------------------------
/ 2\
x*\1 + 4*x /
$$\frac{2 x \log{\left(x \right)} + \left(4 x^{2} + 1\right) \operatorname{atan}{\left(2 x \right)}}{x \left(4 x^{2} + 1\right)}$$
((1 + 4*x^2)*atan(2*x) + 2*x*log(x))/(x*(1 + 4*x^2))
Respuesta numérica
[src]
atan(2*x)/x + 2.0*log(x)/(1.0 + 4.0*x^2)
atan(2*x)/x + 2.0*log(x)/(1.0 + 4.0*x^2)
Denominador racional
[src]
/ 2\
\1 + 4*x /*atan(2*x) + 2*x*log(x)
---------------------------------
/ 2\
x*\1 + 4*x /
$$\frac{2 x \log{\left(x \right)} + \left(4 x^{2} + 1\right) \operatorname{atan}{\left(2 x \right)}}{x \left(4 x^{2} + 1\right)}$$
((1 + 4*x^2)*atan(2*x) + 2*x*log(x))/(x*(1 + 4*x^2))
Unión de expresiones racionales
[src]
/ 2\
\1 + 4*x /*atan(2*x) + 2*x*log(x)
---------------------------------
/ 2\
x*\1 + 4*x /
$$\frac{2 x \log{\left(x \right)} + \left(4 x^{2} + 1\right) \operatorname{atan}{\left(2 x \right)}}{x \left(4 x^{2} + 1\right)}$$
((1 + 4*x^2)*atan(2*x) + 2*x*log(x))/(x*(1 + 4*x^2))
Denominador común
[src]
2
2*x*log(x) + 4*x *atan(2*x) + atan(2*x)
---------------------------------------
3
x + 4*x
$$\frac{4 x^{2} \operatorname{atan}{\left(2 x \right)} + 2 x \log{\left(x \right)} + \operatorname{atan}{\left(2 x \right)}}{4 x^{3} + x}$$
(2*x*log(x) + 4*x^2*atan(2*x) + atan(2*x))/(x + 4*x^3)
Combinatoria
[src]
2
2*x*log(x) + 4*x *atan(2*x) + atan(2*x)
---------------------------------------
/ 2\
x*\1 + 4*x /
$$\frac{4 x^{2} \operatorname{atan}{\left(2 x \right)} + 2 x \log{\left(x \right)} + \operatorname{atan}{\left(2 x \right)}}{x \left(4 x^{2} + 1\right)}$$
(2*x*log(x) + 4*x^2*atan(2*x) + atan(2*x))/(x*(1 + 4*x^2))