Simplificación general
[src]
3 // 2\ \
acot (5*x)*\\1 + 25*x /*acot(5*x) - 20*(-5 + x)*log(-5 + x)/
------------------------------------------------------------
/ 2\
\1 + 25*x /*(-5 + x)
$$\frac{\left(- 20 \left(x - 5\right) \log{\left(x - 5 \right)} + \left(25 x^{2} + 1\right) \operatorname{acot}{\left(5 x \right)}\right) \operatorname{acot}^{3}{\left(5 x \right)}}{\left(x - 5\right) \left(25 x^{2} + 1\right)}$$
acot(5*x)^3*((1 + 25*x^2)*acot(5*x) - 20*(-5 + x)*log(-5 + x))/((1 + 25*x^2)*(-5 + x))
acot(5*x)^4/(-5.0 + x) - 20.0*acot(5*x)^3*log(x - 5)/(1.0 + 25.0*x^2)
acot(5*x)^4/(-5.0 + x) - 20.0*acot(5*x)^3*log(x - 5)/(1.0 + 25.0*x^2)
4 2 4 3 3
acot (5*x) + 25*x *acot (5*x) + 100*acot (5*x)*log(-5 + x) - 20*x*acot (5*x)*log(-5 + x)
----------------------------------------------------------------------------------------
2 3
-5 + x - 125*x + 25*x
$$\frac{25 x^{2} \operatorname{acot}^{4}{\left(5 x \right)} - 20 x \log{\left(x - 5 \right)} \operatorname{acot}^{3}{\left(5 x \right)} + 100 \log{\left(x - 5 \right)} \operatorname{acot}^{3}{\left(5 x \right)} + \operatorname{acot}^{4}{\left(5 x \right)}}{25 x^{3} - 125 x^{2} + x - 5}$$
(acot(5*x)^4 + 25*x^2*acot(5*x)^4 + 100*acot(5*x)^3*log(-5 + x) - 20*x*acot(5*x)^3*log(-5 + x))/(-5 + x - 125*x^2 + 25*x^3)
4 3
acot (5*x) 20*acot (5*x)*log(-5 + x)
---------- - -------------------------
-5 + x 2
1 + 25*x
$$- \frac{20 \log{\left(x - 5 \right)} \operatorname{acot}^{3}{\left(5 x \right)}}{25 x^{2} + 1} + \frac{\operatorname{acot}^{4}{\left(5 x \right)}}{x - 5}$$
acot(5*x)^4/(-5 + x) - 20*acot(5*x)^3*log(-5 + x)/(1 + 25*x^2)
Unión de expresiones racionales
[src]
3 // 2\ \
acot (5*x)*\\1 + 25*x /*acot(5*x) - 20*(-5 + x)*log(-5 + x)/
------------------------------------------------------------
/ 2\
\1 + 25*x /*(-5 + x)
$$\frac{\left(- 20 \left(x - 5\right) \log{\left(x - 5 \right)} + \left(25 x^{2} + 1\right) \operatorname{acot}{\left(5 x \right)}\right) \operatorname{acot}^{3}{\left(5 x \right)}}{\left(x - 5\right) \left(25 x^{2} + 1\right)}$$
acot(5*x)^3*((1 + 25*x^2)*acot(5*x) - 20*(-5 + x)*log(-5 + x))/((1 + 25*x^2)*(-5 + x))
Parte trigonométrica
[src]
4 3
acot (5*x) 20*acot (5*x)*log(-5 + x)
---------- - -------------------------
-5 + x 2
1 + 25*x
$$- \frac{20 \log{\left(x - 5 \right)} \operatorname{acot}^{3}{\left(5 x \right)}}{25 x^{2} + 1} + \frac{\operatorname{acot}^{4}{\left(5 x \right)}}{x - 5}$$
acot(5*x)^4/(-5 + x) - 20*acot(5*x)^3*log(-5 + x)/(1 + 25*x^2)
3 / 2 \
acot (5*x)*\100*log(-5 + x) - 20*x*log(-5 + x) + 25*x *acot(5*x) + acot(5*x)/
-----------------------------------------------------------------------------
/ 2\
\1 + 25*x /*(-5 + x)
$$\frac{\left(25 x^{2} \operatorname{acot}{\left(5 x \right)} - 20 x \log{\left(x - 5 \right)} + 100 \log{\left(x - 5 \right)} + \operatorname{acot}{\left(5 x \right)}\right) \operatorname{acot}^{3}{\left(5 x \right)}}{\left(x - 5\right) \left(25 x^{2} + 1\right)}$$
acot(5*x)^3*(100*log(-5 + x) - 20*x*log(-5 + x) + 25*x^2*acot(5*x) + acot(5*x))/((1 + 25*x^2)*(-5 + x))
Compilar la expresión
[src]
4 3
acot (5*x) 20*acot (5*x)*log(x - 5)
---------- - ------------------------
-5 + x 2
1 + 25*x
$$- \frac{20 \log{\left(x - 5 \right)} \operatorname{acot}^{3}{\left(5 x \right)}}{25 x^{2} + 1} + \frac{\operatorname{acot}^{4}{\left(5 x \right)}}{x - 5}$$
acot(5*x)^4/(-5 + x) - 20*acot(5*x)^3*log(x - 5)/(1 + 25*x^2)
Denominador racional
[src]
4 2 4 3 3
acot (5*x) + 25*x *acot (5*x) + 100*acot (5*x)*log(-5 + x) - 20*x*acot (5*x)*log(-5 + x)
----------------------------------------------------------------------------------------
/ 2\
\1 + 25*x /*(-5 + x)
$$\frac{25 x^{2} \operatorname{acot}^{4}{\left(5 x \right)} - 20 x \log{\left(x - 5 \right)} \operatorname{acot}^{3}{\left(5 x \right)} + 100 \log{\left(x - 5 \right)} \operatorname{acot}^{3}{\left(5 x \right)} + \operatorname{acot}^{4}{\left(5 x \right)}}{\left(x - 5\right) \left(25 x^{2} + 1\right)}$$
(acot(5*x)^4 + 25*x^2*acot(5*x)^4 + 100*acot(5*x)^3*log(-5 + x) - 20*x*acot(5*x)^3*log(-5 + x))/((1 + 25*x^2)*(-5 + x))