Simplificación general
[src]
1
-1 + --
2
x
2*(cosh(2*x)) *(x*sinh(2*x) - cosh(2*x)*log(cosh(2*x)))
-------------------------------------------------------------
3
x
$$\frac{2 \left(x \sinh{\left(2 x \right)} - \log{\left(\cosh{\left(2 x \right)} \right)} \cosh{\left(2 x \right)}\right) \cosh^{-1 + \frac{1}{x^{2}}}{\left(2 x \right)}}{x^{3}}$$
2*cosh(2*x)^(-1 + x^(-2))*(x*sinh(2*x) - cosh(2*x)*log(cosh(2*x)))/x^3
cosh(2*x)^(x^(-2))*(-2.0*log(cosh(2*x))/x^3 + 2.0*sinh(2*x)/(x^2*cosh(2*x)))
cosh(2*x)^(x^(-2))*(-2.0*log(cosh(2*x))/x^3 + 2.0*sinh(2*x)/(x^2*cosh(2*x)))
Unión de expresiones racionales
[src]
1
--
2
x
2*(cosh(2*x)) *(x*sinh(2*x) - cosh(2*x)*log(cosh(2*x)))
--------------------------------------------------------
3
x *cosh(2*x)
$$\frac{2 \left(x \sinh{\left(2 x \right)} - \log{\left(\cosh{\left(2 x \right)} \right)} \cosh{\left(2 x \right)}\right) \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)}}{x^{3} \cosh{\left(2 x \right)}}$$
2*cosh(2*x)^(x^(-2))*(x*sinh(2*x) - cosh(2*x)*log(cosh(2*x)))/(x^3*cosh(2*x))
1 1
-- --
2 2
x x
- 2*(cosh(2*x)) *cosh(2*x)*log(cosh(2*x)) + 2*x*(cosh(2*x)) *sinh(2*x)
------------------------------------------------------------------------
3
x *cosh(2*x)
$$\frac{2 x \sinh{\left(2 x \right)} \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)} - 2 \log{\left(\cosh{\left(2 x \right)} \right)} \cosh{\left(2 x \right)} \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)}}{x^{3} \cosh{\left(2 x \right)}}$$
(-2*cosh(2*x)^(x^(-2))*cosh(2*x)*log(cosh(2*x)) + 2*x*cosh(2*x)^(x^(-2))*sinh(2*x))/(x^3*cosh(2*x))
1
--
2
x / 2*log(cosh(2*x)) 2*sinh(2*x) \
(cosh(2*x)) *|- ---------------- + ------------|
| 3 2 |
\ x x *cosh(2*x)/
$$\left(\frac{2 \sinh{\left(2 x \right)}}{x^{2} \cosh{\left(2 x \right)}} - \frac{2 \log{\left(\cosh{\left(2 x \right)} \right)}}{x^{3}}\right) \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)}$$
cosh(2*x)^(x^(-2))*(-2*log(cosh(2*x))/x^3 + 2*sinh(2*x)/(x^2*cosh(2*x)))
Denominador racional
[src]
1 1
-1 + -- -1 + --
2 2
3 x 2 x
2*x *(cosh(2*x)) *sinh(2*x) - 2*x *(cosh(2*x)) *cosh(2*x)*log(cosh(2*x))
------------------------------------------------------------------------------------
5
x
$$\frac{2 x^{3} \sinh{\left(2 x \right)} \cosh^{-1 + \frac{1}{x^{2}}}{\left(2 x \right)} - 2 x^{2} \log{\left(\cosh{\left(2 x \right)} \right)} \cosh{\left(2 x \right)} \cosh^{-1 + \frac{1}{x^{2}}}{\left(2 x \right)}}{x^{5}}$$
(2*x^3*cosh(2*x)^(-1 + x^(-2))*sinh(2*x) - 2*x^2*cosh(2*x)^(-1 + x^(-2))*cosh(2*x)*log(cosh(2*x)))/x^5
Abrimos la expresión
[src]
1
--
2
x /-2*log(cosh(2*x)) 2*sinh(2*x) \
(cosh(2*x)) *|----------------- + ------------|
| 3 2 |
\ x x *cosh(2*x)/
$$\left(\frac{\left(-1\right) 2 \log{\left(\cosh{\left(2 x \right)} \right)}}{x^{3}} + \frac{2 \sinh{\left(2 x \right)}}{x^{2} \cosh{\left(2 x \right)}}\right) \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)}$$
cosh(2*x)^(1/(x^2))*((-2*log(cosh(2*x)))/x^3 + 2*sinh(2*x)/(x^2*cosh(2*x)))
Compilar la expresión
[src]
1
--
2
x / 2*log(cosh(2*x)) 2*sinh(2*x) \
(cosh(2*x)) *|- ---------------- + ------------|
| 3 2 |
\ x x *cosh(2*x)/
$$\left(\frac{2 \sinh{\left(2 x \right)}}{x^{2} \cosh{\left(2 x \right)}} - \frac{2 \log{\left(\cosh{\left(2 x \right)} \right)}}{x^{3}}\right) \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)}$$
cosh(2*x)^(1/(x^2))*(-2*log(cosh(2*x))/x^3 + 2*sinh(2*x)/(x^2*cosh(2*x)))
Parte trigonométrica
[src]
1
--
2
x / 2*log(cosh(2*x)) 2*sinh(2*x) \
(cosh(2*x)) *|- ---------------- + ------------|
| 3 2 |
\ x x *cosh(2*x)/
$$\left(\frac{2 \sinh{\left(2 x \right)}}{x^{2} \cosh{\left(2 x \right)}} - \frac{2 \log{\left(\cosh{\left(2 x \right)} \right)}}{x^{3}}\right) \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)}$$
1
--
2
x / log(cosh(2*x)) \
2*(cosh(2*x)) *|- -------------- + tanh(2*x)|
\ x /
----------------------------------------------
2
x
$$\frac{2 \left(\tanh{\left(2 x \right)} - \frac{\log{\left(\cosh{\left(2 x \right)} \right)}}{x}\right) \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)}}{x^{2}}$$
2*cosh(2*x)^(x^(-2))*(-log(cosh(2*x))/x + tanh(2*x))/x^2
1
--
2
x
2*(cosh(2*x)) *(x*sinh(2*x) - cosh(2*x)*log(cosh(2*x)))
--------------------------------------------------------
3
x *cosh(2*x)
$$\frac{2 \left(x \sinh{\left(2 x \right)} - \log{\left(\cosh{\left(2 x \right)} \right)} \cosh{\left(2 x \right)}\right) \cosh^{\frac{1}{x^{2}}}{\left(2 x \right)}}{x^{3} \cosh{\left(2 x \right)}}$$
2*cosh(2*x)^(x^(-2))*(x*sinh(2*x) - cosh(2*x)*log(cosh(2*x)))/(x^3*cosh(2*x))