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- ¿cómo vas a descomponer esta expresión en fracciones?:
- (z*(z^2+6*z+1)-(4*z*(z+1)))/(z-1)^3+z*(z-1)/(z+1)^3
- (z^2-4*z+16)/(16*z^2-1)*(4*z^2+z)/(z^3+64)-(z+4)/(4*z^2-z)
- ((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
- -(z^2+1)/(z-(-1-sqrt(3)*i)/2)^2+2*z/(z-(-1-sqrt(3)*i)/2)
- Factorizar el polinomio:
- z^2+20*z+100
- z^2-z+1
- z^2-16+64/8-z
- z^2-20*z+104
- Descomponer al cuadrado:
- y^4+y^2+2
- -y^4+y^2+15
- y^4-y^2+11
- -y^4+y^2+2
-
Expresiones idénticas
- cot(dos *x- tres)^ tres /((x+ dos)*log(tres))+cot(dos *x- tres)^ dos *(log(x+ dos)/log(tres))*(- seis - seis *cot(dos *x- tres)^ dos)
- cotangente de (2 multiplicar por x menos 3) al cubo dividir por ((x más 2) multiplicar por logaritmo de (3)) más cotangente de (2 multiplicar por x menos 3) al cuadrado multiplicar por ( logaritmo de (x más 2) dividir por logaritmo de (3)) multiplicar por ( menos 6 menos 6 multiplicar por cotangente de (2 multiplicar por x menos 3) al cuadrado )
- cotangente de (dos multiplicar por x menos tres) en el grado tres dividir por ((x más dos) multiplicar por logaritmo de (tres)) más cotangente de (dos multiplicar por x menos tres) en el grado dos multiplicar por ( logaritmo de (x más dos) dividir por logaritmo de (tres)) multiplicar por ( menos seis menos seis multiplicar por cotangente de (dos multiplicar por x menos tres) en el grado dos)
- cot(2*x-3)3/((x+2)*log(3))+cot(2*x-3)2*(log(x+2)/log(3))*(-6-6*cot(2*x-3)2)
- cot2*x-33/x+2*log3+cot2*x-32*logx+2/log3*-6-6*cot2*x-32
- cot(2*x-3)³/((x+2)*log(3))+cot(2*x-3)²*(log(x+2)/log(3))*(-6-6*cot(2*x-3)²)
- cot(2*x-3) en el grado 3/((x+2)*log(3))+cot(2*x-3) en el grado 2*(log(x+2)/log(3))*(-6-6*cot(2*x-3) en el grado 2)
- cot(2x-3)^3/((x+2)log(3))+cot(2x-3)^2(log(x+2)/log(3))(-6-6cot(2x-3)^2)
- cot(2x-3)3/((x+2)log(3))+cot(2x-3)2(log(x+2)/log(3))(-6-6cot(2x-3)2)
- cot2x-33/x+2log3+cot2x-32logx+2/log3-6-6cot2x-32
- cot2x-3^3/x+2log3+cot2x-3^2logx+2/log3-6-6cot2x-3^2
- cot(2*x-3)^3 dividir por ((x+2)*log(3))+cot(2*x-3)^2*(log(x+2) dividir por log(3))*(-6-6*cot(2*x-3)^2)
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Expresiones semejantes
- cot(2*x-3)^3/((x+2)*log(3))+cot(2*x+3)^2*(log(x+2)/log(3))*(-6-6*cot(2*x-3)^2)
- cot(2*x-3)^3/((x+2)*log(3))+cot(2*x-3)^2*(log(x+2)/log(3))*(-6-6*cot(2*x+3)^2)
- cot(2*x-3)^3/((x+2)*log(3))+cot(2*x-3)^2*(log(x+2)/log(3))*(-6+6*cot(2*x-3)^2)
- cot(2*x+3)^3/((x+2)*log(3))+cot(2*x-3)^2*(log(x+2)/log(3))*(-6-6*cot(2*x-3)^2)
- cot(2*x-3)^3/((x+2)*log(3))+cot(2*x-3)^2*(log(x+2)/log(3))*(6-6*cot(2*x-3)^2)
- cot(2*x-3)^3/((x+2)*log(3))+cot(2*x-3)^2*(log(x-2)/log(3))*(-6-6*cot(2*x-3)^2)
- cot(2*x-3)^3/((x-2)*log(3))+cot(2*x-3)^2*(log(x+2)/log(3))*(-6-6*cot(2*x-3)^2)
- cot(2*x-3)^3/((x+2)*log(3))-cot(2*x-3)^2*(log(x+2)/log(3))*(-6-6*cot(2*x-3)^2)
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Expresiones con funciones
- Cotangente cot
- cot(x)*(-2)-2*cot(x)^3/3-2*cos(x)/(3*sin(x))+2*cos(x)/((3*sin(x)^3))
- cot(pi/(2+a))*(-sin(a+3*pi/10))*(-sin(a+pi/5))/cot(a)
- cot(x)^cot(pi/(4+x))*((-1-cot(pi/(4+x))^2)*log(cot(x))+(-1-cot(x)^2)*cot(pi/(4+x))/cot(x))
- cot(4*x)^2*(-12-12*cot(4*x)^2)*atan(x^3)+3*x^2*cot(4*x)^3/(1+x^6)
- cot(4*x)^2*(-12-12*cot(4*x)^2)*acot(2*x^3)-6*x^2*cot(4*x)^3/(1+4*x^6)
- Logaritmo log
- log(1+tan(x)^2)/(-4+4*tan(x)^2)-log(1+tan(x))/(-4+4*tan(x)^2)-log(-1+tan(x))/(-4+4*tan(x)^2)+tan(x)^2*log(1+tan(x))/(-4+4*tan(x)^2)+tan(x)^2*log(-1+tan(x))/(-4+4*tan(x)^2)-tan(x)^2*log(1+tan(x)^2)/(-4+4*tan(x)^2)-4*x*tan(x)/(-4+4*tan(x)^2)
- log(x)/64-1/(8*x)-log(x-8)/64
- log((2*x-sqrt(141)-11)/((-11)+sqrt(141)+2*x))/sqrt(141)
- log(2*x)^cos(x)*(-log(log(2*x))*sin(x)+cos(x)/(x*log(2*x)))
- log(x/(v-x))-v*g*t-log(a/(v-a))
- Cotangente cot
- cot(x)*(-2)-2*cot(x)^3/3-2*cos(x)/(3*sin(x))+2*cos(x)/((3*sin(x)^3))
- cot(pi/(2+a))*(-sin(a+3*pi/10))*(-sin(a+pi/5))/cot(a)
- cot(x)^cot(pi/(4+x))*((-1-cot(pi/(4+x))^2)*log(cot(x))+(-1-cot(x)^2)*cot(pi/(4+x))/cot(x))
- cot(4*x)^2*(-12-12*cot(4*x)^2)*atan(x^3)+3*x^2*cot(4*x)^3/(1+x^6)
- cot(4*x)^2*(-12-12*cot(4*x)^2)*acot(2*x^3)-6*x^2*cot(4*x)^3/(1+4*x^6)
- Logaritmo log
- log(1+tan(x)^2)/(-4+4*tan(x)^2)-log(1+tan(x))/(-4+4*tan(x)^2)-log(-1+tan(x))/(-4+4*tan(x)^2)+tan(x)^2*log(1+tan(x))/(-4+4*tan(x)^2)+tan(x)^2*log(-1+tan(x))/(-4+4*tan(x)^2)-tan(x)^2*log(1+tan(x)^2)/(-4+4*tan(x)^2)-4*x*tan(x)/(-4+4*tan(x)^2)
- log(x)/64-1/(8*x)-log(x-8)/64
- log((2*x-sqrt(141)-11)/((-11)+sqrt(141)+2*x))/sqrt(141)
- log(2*x)^cos(x)*(-log(log(2*x))*sin(x)+cos(x)/(x*log(2*x)))
- log(x/(v-x))-v*g*t-log(a/(v-a))
- Logaritmo log
- log(1+tan(x)^2)/(-4+4*tan(x)^2)-log(1+tan(x))/(-4+4*tan(x)^2)-log(-1+tan(x))/(-4+4*tan(x)^2)+tan(x)^2*log(1+tan(x))/(-4+4*tan(x)^2)+tan(x)^2*log(-1+tan(x))/(-4+4*tan(x)^2)-tan(x)^2*log(1+tan(x)^2)/(-4+4*tan(x)^2)-4*x*tan(x)/(-4+4*tan(x)^2)
- log(x)/64-1/(8*x)-log(x-8)/64
- log((2*x-sqrt(141)-11)/((-11)+sqrt(141)+2*x))/sqrt(141)
- log(2*x)^cos(x)*(-log(log(2*x))*sin(x)+cos(x)/(x*log(2*x)))
- log(x/(v-x))-v*g*t-log(a/(v-a))
- Cotangente cot
- cot(x)*(-2)-2*cot(x)^3/3-2*cos(x)/(3*sin(x))+2*cos(x)/((3*sin(x)^3))
- cot(pi/(2+a))*(-sin(a+3*pi/10))*(-sin(a+pi/5))/cot(a)
- cot(x)^cot(pi/(4+x))*((-1-cot(pi/(4+x))^2)*log(cot(x))+(-1-cot(x)^2)*cot(pi/(4+x))/cot(x))
- cot(4*x)^2*(-12-12*cot(4*x)^2)*atan(x^3)+3*x^2*cot(4*x)^3/(1+x^6)
- cot(4*x)^2*(-12-12*cot(4*x)^2)*acot(2*x^3)-6*x^2*cot(4*x)^3/(1+4*x^6)
Simplificación de expresiones/
Descomposición en fracciones simples/
cot(2*x-3)^3/((x+2)*log(3))+cot(2*x-3)^2*(log(x+2)/log(3))*(-6-6*cot(2*x-3)^2)
¿Cómo vas a descomponer esta cot(2*x-3)^3/((x+2)*log(3))+cot(2*x-3)^2*(log(x+2)/log(3))*(-6-6*cot(2*x-3)^2) expresión en fracciones?
Solución
Ha introducido
[src]
3 cot (2*x - 3) 2 log(x + 2) / 2 \ -------------- + cot (2*x - 3)*----------*\-6 - 6*cot (2*x - 3)/ (x + 2)*log(3) log(3)
$$\frac{\log{\left(x + 2 \right)}}{\log{\left(3 \right)}} \cot^{2}{\left(2 x - 3 \right)} \left(- 6 \cot^{2}{\left(2 x - 3 \right)} - 6\right) + \frac{\cot^{3}{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(3 \right)}}$$
cot(2*x - 3)^3/(((x + 2)*log(3))) + (cot(2*x - 3)^2*(log(x + 2)/log(3)))*(-6 - 6*cot(2*x - 3)^2)
Simplificación general
[src]
2 / 6*(2 + x)*log(2 + x) \
cot (-3 + 2*x)*|- -------------------- + cot(-3 + 2*x)|
| 2 |
\ sin (-3 + 2*x) /
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(2 + x)*log(3)
$$\frac{\left(- \frac{6 \left(x + 2\right) \log{\left(x + 2 \right)}}{\sin^{2}{\left(2 x - 3 \right)}} + \cot{\left(2 x - 3 \right)}\right) \cot^{2}{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(3 \right)}}$$
cot(-3 + 2*x)^2*(-6*(2 + x)*log(2 + x)/sin(-3 + 2*x)^2 + cot(-3 + 2*x))/((2 + x)*log(3))
Respuesta numérica
[src]
cot(2*x - 3)^3/(2.19722457733622 + 1.09861228866811*x) + 0.910239226626837*cot(2*x - 3)^2*(-6.0 - 6.0*cot(2*x - 3)^2)*log(x + 2)
cot(2*x - 3)^3/(2.19722457733622 + 1.09861228866811*x) + 0.910239226626837*cot(2*x - 3)^2*(-6.0 - 6.0*cot(2*x - 3)^2)*log(x + 2)
Denominador común
[src]
/ 3 2 4 2 4 \
-\- cot (-3 + 2*x) + 12*cot (-3 + 2*x)*log(2 + x) + 12*cot (-3 + 2*x)*log(2 + x) + 6*x*cot (-3 + 2*x)*log(2 + x) + 6*x*cot (-3 + 2*x)*log(2 + x)/
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2*log(3) + x*log(3)
$$- \frac{6 x \log{\left(x + 2 \right)} \cot^{4}{\left(2 x - 3 \right)} + 6 x \log{\left(x + 2 \right)} \cot^{2}{\left(2 x - 3 \right)} + 12 \log{\left(x + 2 \right)} \cot^{4}{\left(2 x - 3 \right)} + 12 \log{\left(x + 2 \right)} \cot^{2}{\left(2 x - 3 \right)} - \cot^{3}{\left(2 x - 3 \right)}}{x \log{\left(3 \right)} + 2 \log{\left(3 \right)}}$$
-(-cot(-3 + 2*x)^3 + 12*cot(-3 + 2*x)^2*log(2 + x) + 12*cot(-3 + 2*x)^4*log(2 + x) + 6*x*cot(-3 + 2*x)^2*log(2 + x) + 6*x*cot(-3 + 2*x)^4*log(2 + x))/(2*log(3) + x*log(3))
Denominador racional
[src]
3 2 4 2 4
cot (-3 + 2*x)*log(3) - 12*cot (-3 + 2*x)*log(3)*log(2 + x) - 12*cot (-3 + 2*x)*log(3)*log(2 + x) - 6*x*cot (-3 + 2*x)*log(3)*log(2 + x) - 6*x*cot (-3 + 2*x)*log(3)*log(2 + x)
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2
(2 + x)*log (3)
$$\frac{- 6 x \log{\left(3 \right)} \log{\left(x + 2 \right)} \cot^{4}{\left(2 x - 3 \right)} - 6 x \log{\left(3 \right)} \log{\left(x + 2 \right)} \cot^{2}{\left(2 x - 3 \right)} - 12 \log{\left(3 \right)} \log{\left(x + 2 \right)} \cot^{4}{\left(2 x - 3 \right)} - 12 \log{\left(3 \right)} \log{\left(x + 2 \right)} \cot^{2}{\left(2 x - 3 \right)} + \log{\left(3 \right)} \cot^{3}{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(3 \right)}^{2}}$$
(cot(-3 + 2*x)^3*log(3) - 12*cot(-3 + 2*x)^2*log(3)*log(2 + x) - 12*cot(-3 + 2*x)^4*log(3)*log(2 + x) - 6*x*cot(-3 + 2*x)^2*log(3)*log(2 + x) - 6*x*cot(-3 + 2*x)^4*log(3)*log(2 + x))/((2 + x)*log(3)^2)
Potencias
[src]
3 2 / 2 \ cot (-3 + 2*x) cot (-3 + 2*x)*\-6 - 6*cot (-3 + 2*x)/*log(2 + x) -------------- + ------------------------------------------------- (2 + x)*log(3) log(3)
$$\frac{\left(- 6 \cot^{2}{\left(2 x - 3 \right)} - 6\right) \log{\left(x + 2 \right)} \cot^{2}{\left(2 x - 3 \right)}}{\log{\left(3 \right)}} + \frac{\cot^{3}{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(3 \right)}}$$
cot(-3 + 2*x)^3/((2 + x)*log(3)) + cot(-3 + 2*x)^2*(-6 - 6*cot(-3 + 2*x)^2)*log(2 + x)/log(3)
Compilar la expresión
[src]
3 2 / 2 \ cot (2*x - 3) cot (2*x - 3)*\-6 - 6*cot (2*x - 3)/*log(x + 2) -------------- + ----------------------------------------------- (2 + x)*log(3) log(3)
$$\frac{\left(- 6 \cot^{2}{\left(2 x - 3 \right)} - 6\right) \log{\left(x + 2 \right)} \cot^{2}{\left(2 x - 3 \right)}}{\log{\left(3 \right)}} + \frac{\cot^{3}{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(3 \right)}}$$
cot(2*x - 3)^3/((2 + x)*log(3)) + cot(2*x - 3)^2*(-6 - 6*cot(2*x - 3)^2)*log(x + 2)/log(3)
Abrimos la expresión
[src]
3 2 3 6 2 2 4 3 2 2 4 3 3 4 2 2 4 4 2 4 3 2 2 4 4 8 3 6 2 2 3 4 4 2 4 6 2 2
1 cot (3) 6*log(x + 2) 6*log(x + 2) 3*cot (3) 3*cot(3) cot (3)*cot (x) 9*cot (3)*log(x + 2) 3*cot (3)*log(x + 2) 3*cot (3)*log(x + 2) 3*cot (3)*cot (x) 3*cot (3)*cot (x) 3*cot (3)*log(x + 2) 3*cot (3)*cot (x) 6*cot(3)*log(x + 2) 6*cot (3)*cot (x) 12*cot(3)*log(x + 2) 3*cot(3)*cot(x) 18*cot (3)*cot (x)*log(x + 2) 12*cot(3)*cot(x)*log(x + 2) 9*cot (3)*cot (x)*log(x + 2) 9*cot (3)*cot (x)*log(x + 2) 6*cot(3)*cot(x)*log(x + 2) 3*cot (3)*cot (x)*log(x + 2) 3*cot (3)*cot (x)*log(x + 2) 3*cot (3)*cot (x)*log(x + 2) 6*cot (3)*cot (x)*log(x + 2) 9*cot (3)*cot (x)*log(x + 2) 12*cot (3)*cot (x)*log(x + 2) 12*cot (3)*cot (x)*log(x + 2) 18*cot (3)*cot (x)*log(x + 2)
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3 2 2 3 2 2 2 4 6 2 6 2 2 3 3 5 4 2 2 4 3 2 2 3 3 5 2 4 3 2 2 4 3 3 2 2 2 5 3 4 2 2 4 3 4 6 2 6 2 2 3 3 5 4 2 2 4 3 2 2 3 3 5 2 4 3 4 6 2 2 5 2 4 3 4 8 4 6 2 6 2 2 3 3 5 4 2 2 4 3 2 2 3 3 5 2 4 3 5 3 5 7 3 2 6 2 5 2 4 4 6 2 6 2 2 3 3 5 4 2 2 4 3 2 2 3 3 5 2 4 3 3 5 3 3 5 4 2 2 3 2 / 3 2 2 3 2 2 2 \ 8 2 4 3 3 2 2 2 4 6 2 2 5 2 4 3 5 7 3 2 6 2 5 2 4 2 4 8 5 7 3 2 6 2 5 2 4 4 5 7 3 2 6 2 5 2 4 8 8 4 6 2 2 5 2 4 3
3 3*cot(x)*log(3) log(3) cot (x)*log(3) 3*log(3) 3 3*cot (3)*log(3) 2 3*cot(3)*log(3) 3*cot (x)*cot(3)*log(3) 3*x*cot(x)*log(3) x*log(3) x*cot (x)*log(3) 3*x*cot(3)*log(3) 3*x*log(3) 3*x*cot (3)*log(3) 3*x*cot(3)*log(3) 3*x*cot (x)*cot(3)*log(3) 3*x*cot (3)*cot(x)*log(3) -2*log(3) - x*log(3) - 6*cot (x)*log(3) + 2*cot (x)*log(3) + 6*cot (x)*log(3) + x*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 12*cot(3)*cot(x)*log(3) - 3*x*cot (x)*log(3) + 3*x*cot (x)*log(3) + 24*cot (3)*cot (x)*log(3) + 24*cot (x)*cot(3)*log(3) - 12*x*cot (3)*cot (x)*log(3) - 8*x*cot (3)*cot (x)*log(3) - 6*x*cot (x)*cot(3)*log(3) - 6*x*cot(3)*cot(x)*log(3) + 12*x*cot (3)*cot (x)*log(3) + 12*x*cot (x)*cot(3)*log(3) log(3) 2 log(3) cot (x)*log(3) cot(3)*log(3) 3*log(3) 4 2 log(3) cot (x)*log(3) log(3) cot (x)*log(3) cot(3)*log(3) 3 2*cot (3)*log(3) 3*cot(3)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot(3)*cot(x)*log(3) 5 log(3) 3 x*cot (x)*log(3) 2 3 2 4 2 3 2 3*x*cot (x)*log(3) x*log(3) 3*x*cot(x)*log(3) 2 3 2 4 2 3 2 3*log(3) cot (x)*log(3) 2 3*cot (x)*log(3) log(3) 3*x*log(3) 3 2 3*cot(3)*log(3) 3 2 2 3*x*cot (x)*log(3) x*log(3) x*cot (x)*log(3) 3 2 2 3*x*cot(3)*log(3) 3*x*cot (x)*cot(3)*log(3) -2*log(3) - x*log(3) - 6*cot (x)*log(3) + 2*cot (x)*log(3) + 6*cot (x)*log(3) + x*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 12*cot(3)*cot(x)*log(3) - 3*x*cot (x)*log(3) + 3*x*cot (x)*log(3) + 24*cot (3)*cot (x)*log(3) + 24*cot (x)*cot(3)*log(3) - 12*x*cot (3)*cot (x)*log(3) - 8*x*cot (3)*cot (x)*log(3) - 6*x*cot (x)*cot(3)*log(3) - 6*x*cot(3)*cot(x)*log(3) + 12*x*cot (3)*cot (x)*log(3) + 12*x*cot (x)*cot(3)*log(3) log(3) cot (x)*log(3) log(3) cot (x)*log(3) 3*cot (3)*log(3) 3*cot (x)*log(3) 4 2 cot(3)*log(3) 2 2 3 3 3 3*cot(3)*cot(x)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot (x)*cot(3)*log(3) log(3) cot (x)*log(3) 2 3 2 2 log(3) cot (x)*log(3) 2 6 4 2 4 3 5 3 7 4 4 2 2 2 6 5 3 3 -2*log(3) - x*log(3) - 6*cot (x)*log(3) + 2*cot (x)*log(3) + 6*cot (x)*log(3) + x*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 12*cot(3)*cot(x)*log(3) - 3*x*cot (x)*log(3) + 3*x*cot (x)*log(3) + 24*cot (3)*cot (x)*log(3) + 24*cot (x)*cot(3)*log(3) - 12*x*cot (3)*cot (x)*log(3) - 8*x*cot (3)*cot (x)*log(3) - 6*x*cot (x)*cot(3)*log(3) - 6*x*cot(3)*cot(x)*log(3) + 12*x*cot (3)*cot (x)*log(3) + 12*x*cot (x)*cot(3)*log(3) 5 log(3) 3 x*cot (x)*log(3) 2 3 2 4 2 3 2 3*x*cot (x)*log(3) x*log(3) 3*x*cot(x)*log(3) 2 3 2 4 2 3 2 cot(3)*log(3) cot (x)*log(3) cot(x)*log(3) log(3) cot (x)*log(3) 3*cot (x)*log(3) 4 3 2 3 3 4 3 2 3*cot (x)*cot(3)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot (3)*cot(x)*log(3) 3*cot (x)*cot(3)*log(3) -2*log(3) - x*log(3) - 6*cot (x)*log(3) + 2*cot (x)*log(3) + 6*cot (x)*log(3) + x*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 12*cot(3)*cot(x)*log(3) - 3*x*cot (x)*log(3) + 3*x*cot (x)*log(3) + 24*cot (3)*cot (x)*log(3) + 24*cot (x)*cot(3)*log(3) - 12*x*cot (3)*cot (x)*log(3) - 8*x*cot (3)*cot (x)*log(3) - 6*x*cot (x)*cot(3)*log(3) - 6*x*cot(3)*cot(x)*log(3) + 12*x*cot (3)*cot (x)*log(3) + 12*x*cot (x)*cot(3)*log(3) cot(x)*log(3) log(3) cot (x)*log(3) 2 2 5 log(3) 3 x*cot (x)*log(3) 2 3 2 4 2 3 2 3*x*cot (x)*log(3) x*log(3) 3*x*cot(x)*log(3) 2 3 2 4 2 3 2 3 3*cot(3)*log(3) log(3) cot (x)*log(3) log(3) cot (x)*log(3) 3*cot(x)*log(3) 4 cot(3)*log(3) 2 3 2 cot (x)*cot(3)*log(3) 3*cot (3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot (x)*cot(3)*log(3) | 3 3*cot(x)*log(3) log(3) cot (x)*log(3) 3*log(3) 3 3*cot (3)*log(3) 2 3*cot(3)*log(3) 3*cot (x)*cot(3)*log(3) 3*x*cot(x)*log(3) x*log(3) x*cot (x)*log(3) 3*x*cot(3)*log(3) 3*x*log(3) 3*x*cot (3)*log(3) 3*x*cot(3)*log(3) 3*x*cot (x)*cot(3)*log(3) 3*x*cot (3)*cot(x)*log(3)| log(3) cot (x)*log(3) 2 6 4 2 4 3 5 3 7 4 4 2 2 2 6 5 3 3 3*log(3) 4 2 log(3) cot (x)*log(3) log(3) cot (x)*log(3) cot(3)*log(3) 3 2*cot (3)*log(3) 3*cot(3)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot(3)*cot(x)*log(3) log(3) cot (x)*log(3) log(3) cot (x)*log(3) 3*cot (3)*log(3) 3*cot (x)*log(3) 4 2 cot(3)*log(3) 2 2 3 3 3 3*cot(3)*cot(x)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot (x)*cot(3)*log(3) cot(3)*log(3) cot (x)*log(3) cot(x)*log(3) log(3) cot (x)*log(3) 3*cot (x)*log(3) 4 3 2 3 3 4 3 2 3*cot (x)*cot(3)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot (3)*cot(x)*log(3) 3*cot (x)*cot(3)*log(3) log(3) 2 log(3) cot (x)*log(3) cot(3)*log(3) log(3) cot (x)*log(3) 2 3 2 2 log(3) cot (x)*log(3) 2 6 4 2 4 3 5 3 7 4 4 2 2 2 6 5 3 3 cot(3)*log(3) cot (x)*log(3) cot(x)*log(3) log(3) cot (x)*log(3) 3*cot (x)*log(3) 4 3 2 3 3 4 3 2 3*cot (x)*cot(3)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot (3)*cot(x)*log(3) 3*cot (x)*cot(3)*log(3) log(3) cot (x)*log(3) 2 3 2 2 cot(3)*log(3) cot (x)*log(3) cot(x)*log(3) log(3) cot (x)*log(3) 3*cot (x)*log(3) 4 3 2 3 3 4 3 2 3*cot (x)*cot(3)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot (3)*cot(x)*log(3) 3*cot (x)*cot(3)*log(3) log(3) cot (x)*log(3) 2 6 4 2 4 3 5 3 7 4 4 2 2 2 6 5 3 3 log(3) cot (x)*log(3) 2 6 4 2 4 3 5 3 7 4 4 2 2 2 6 5 3 3 log(3) cot (x)*log(3) log(3) cot (x)*log(3) 3*cot (3)*log(3) 3*cot (x)*log(3) 4 2 cot(3)*log(3) 2 2 3 3 3 3*cot(3)*cot(x)*log(3) cot (x)*cot(3)*log(3) 3*cot (3)*cot (x)*log(3) 3*cot (x)*cot(3)*log(3)
- 2*cot (3)*log(3) + 3*cot(3)*log(3) - --------------- - --------- + -------------- + -------- - x*cot (3)*log(3) - ---------------- + 3*cot (3)*cot(x)*log(3) - --------------- - ----------------------- - ----------------- - --------- + ---------------- + ----------------- + ---------- - ------------------ - ----------------- - ------------------------- + ------------------------- - ------ + cot (3)*log(3) + --------- + -------------- + ------------- - cot(3)*cot(x)*log(3) -------- + cot (3)*log(3) - 3*cot (3)*log(3) - --------- - -------------- + ---------- + -------------- + ------------- - 2*cot (3)*cot(x)*log(3) + ---------------- - --------------- - --------------------- + ---------------- + ------------------------ + ---------------------- cot (x)*log(3) - ------ - 6*cot(3)*log(3) - 3*cot (x)*log(3) + 3*cot(x)*log(3) + ---------------- - 12*cot (3)*cot(x)*log(3) - 8*cot (3)*cot (x)*log(3) - 6*cot (x)*cot(3)*log(3) - 3*x*cot(3)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (x)*cot(3)*log(3) - ------------------ - -------- + ----------------- - 6*x*cot (3)*cot(x)*log(3) - 4*x*cot (3)*cot (x)*log(3) - 3*x*cot (x)*cot(3)*log(3) + 6*x*cot (3)*cot (x)*log(3) + 6*x*cot (x)*cot(3)*log(3) -------- + -------------- - 6*cot (3)*log(3) - ---------------- - --------- + ---------- - 4*cot (3)*cot(x)*log(3) - 3*x*cot (3)*log(3) - --------------- - 3*cot (x)*cot(3)*log(3) + 6*cot (3)*cot (x)*log(3) + 6*cot(3)*cot(x)*log(3) - ------------------ - --------- + ---------------- - 2*x*cot (3)*cot(x)*log(3) + 3*x*cot (3)*cot (x)*log(3) + 3*x*cot(3)*cot(x)*log(3) - ----------------- - ------------------------- - ------ - -------------- + ---------- + -------------- + ---------------- + ---------------- + cot (3)*cot (x)*log(3) + ------------- - 3*cot (3)*cot (x)*log(3) - 2*cot (3)*cot (x)*log(3) + 2*cot (3)*cot(x)*log(3) - ---------------------- - --------------------- + ------------------------ + ----------------------- ------ + -------------- - cot (x)*log(3) - 2*cot (x)*cot(3)*log(3) + 2*cot (3)*cot (x)*log(3) + 2*cot(3)*cot(x)*log(3) ------ + -------------- - 2*cot (x)*log(3) - 2*cot (x)*log(3) + 3*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 4*cot (x)*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (x)*cot(3)*log(3) + 16*cot (3)*cot (x)*log(3) cot (x)*log(3) - ------ - 6*cot(3)*log(3) - 3*cot (x)*log(3) + 3*cot(x)*log(3) + ---------------- - 12*cot (3)*cot(x)*log(3) - 8*cot (3)*cot (x)*log(3) - 6*cot (x)*cot(3)*log(3) - 3*x*cot(3)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (x)*cot(3)*log(3) - ------------------ - -------- + ----------------- - 6*x*cot (3)*cot(x)*log(3) - 4*x*cot (3)*cot (x)*log(3) - 3*x*cot (x)*cot(3)*log(3) + 6*x*cot (3)*cot (x)*log(3) + 6*x*cot (x)*cot(3)*log(3) ------------- - -------------- - ------------- + --------- + -------------- + ---------------- + cot (3)*cot (x)*log(3) - 3*cot (3)*cot (x)*log(3) - 2*cot (3)*cot (x)*log(3) + 2*cot (3)*cot (x)*log(3) - ----------------------- - --------------------- + ------------------------ + ----------------------- + ----------------------- cot(3)*log(3) - ------------- + -------- + -------------- + cot (3)*cot(x)*log(3) - cot (x)*cot(3)*log(3) cot (x)*log(3) - ------ - 6*cot(3)*log(3) - 3*cot (x)*log(3) + 3*cot(x)*log(3) + ---------------- - 12*cot (3)*cot(x)*log(3) - 8*cot (3)*cot (x)*log(3) - 6*cot (x)*cot(3)*log(3) - 3*x*cot(3)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (x)*cot(3)*log(3) - ------------------ - -------- + ----------------- - 6*x*cot (3)*cot(x)*log(3) - 4*x*cot (3)*cot (x)*log(3) - 3*x*cot (x)*cot(3)*log(3) + 6*x*cot (3)*cot (x)*log(3) + 6*x*cot (x)*cot(3)*log(3) 2*cot (3)*log(3) - --------------- - -------- - -------------- + ---------- + -------------- + --------------- + cot (3)*cot(x)*log(3) + ------------- - 3*cot (3)*cot(x)*log(3) - 2*cot (3)*cot (x)*log(3) - --------------------- + ---------------- + ------------------------ + ----------------------- 2*|- 2*cot (3)*log(3) + 3*cot(3)*log(3) - --------------- - --------- + -------------- + -------- - x*cot (3)*log(3) - ---------------- + 3*cot (3)*cot(x)*log(3) - --------------- - ----------------------- - ----------------- - --------- + ---------------- + ----------------- + ---------- - ------------------ - ----------------- - ------------------------- + -------------------------| ------ + -------------- - 2*cot (x)*log(3) - 2*cot (x)*log(3) + 3*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 4*cot (x)*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (x)*cot(3)*log(3) + 16*cot (3)*cot (x)*log(3) -------- + cot (3)*log(3) - 3*cot (3)*log(3) - --------- - -------------- + ---------- + -------------- + ------------- - 2*cot (3)*cot(x)*log(3) + ---------------- - --------------- - --------------------- + ---------------- + ------------------------ + ---------------------- - ------ - -------------- + ---------- + -------------- + ---------------- + ---------------- + cot (3)*cot (x)*log(3) + ------------- - 3*cot (3)*cot (x)*log(3) - 2*cot (3)*cot (x)*log(3) + 2*cot (3)*cot(x)*log(3) - ---------------------- - --------------------- + ------------------------ + ----------------------- ------------- - -------------- - ------------- + --------- + -------------- + ---------------- + cot (3)*cot (x)*log(3) - 3*cot (3)*cot (x)*log(3) - 2*cot (3)*cot (x)*log(3) + 2*cot (3)*cot (x)*log(3) - ----------------------- - --------------------- + ------------------------ + ----------------------- + ----------------------- - ------ + cot (3)*log(3) + --------- + -------------- + ------------- - cot(3)*cot(x)*log(3) ------ + -------------- - cot (x)*log(3) - 2*cot (x)*cot(3)*log(3) + 2*cot (3)*cot (x)*log(3) + 2*cot(3)*cot(x)*log(3) ------ + -------------- - 2*cot (x)*log(3) - 2*cot (x)*log(3) + 3*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 4*cot (x)*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (x)*cot(3)*log(3) + 16*cot (3)*cot (x)*log(3) ------------- - -------------- - ------------- + --------- + -------------- + ---------------- + cot (3)*cot (x)*log(3) - 3*cot (3)*cot (x)*log(3) - 2*cot (3)*cot (x)*log(3) + 2*cot (3)*cot (x)*log(3) - ----------------------- - --------------------- + ------------------------ + ----------------------- + ----------------------- ------ + -------------- - cot (x)*log(3) - 2*cot (x)*cot(3)*log(3) + 2*cot (3)*cot (x)*log(3) + 2*cot(3)*cot(x)*log(3) ------------- - -------------- - ------------- + --------- + -------------- + ---------------- + cot (3)*cot (x)*log(3) - 3*cot (3)*cot (x)*log(3) - 2*cot (3)*cot (x)*log(3) + 2*cot (3)*cot (x)*log(3) - ----------------------- - --------------------- + ------------------------ + ----------------------- + ----------------------- ------ + -------------- - 2*cot (x)*log(3) - 2*cot (x)*log(3) + 3*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 4*cot (x)*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (x)*cot(3)*log(3) + 16*cot (3)*cot (x)*log(3) ------ + -------------- - 2*cot (x)*log(3) - 2*cot (x)*log(3) + 3*cot (x)*log(3) - 24*cot (3)*cot (x)*log(3) - 16*cot (3)*cot (x)*log(3) - 12*cot (x)*cot(3)*log(3) - 4*cot (x)*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (3)*cot (x)*log(3) + 12*cot (x)*cot(3)*log(3) + 16*cot (3)*cot (x)*log(3) - ------ - -------------- + ---------- + -------------- + ---------------- + ---------------- + cot (3)*cot (x)*log(3) + ------------- - 3*cot (3)*cot (x)*log(3) - 2*cot (3)*cot (x)*log(3) + 2*cot (3)*cot(x)*log(3) - ---------------------- - --------------------- + ------------------------ + -----------------------
4 3 4 4*cot(x) cot(x) 2 2 8 3 8 2 8*cot(x) 2*cot(x) 2 4 2 2 2 4 cot(x) 8 2 4 4 16 3 cot(x) 2*cot(x) 2 2 2 2 cot(x) 2 2 2*cot(x) 2 2 2 2 2 4 cot(x) 4 2 4 2*cot(x) 2 4 4 2 16 2 8 2*cot(x) 2 2 2 2 2 2 2 2 cot(x) 2 2 2*cot(x) 2 2 4 4 16*cot(x) 16 8 2 2 2 2 2 2 4*cot(x) 4 cot(x) 2 2 2*cot(x) 2 2 4*cot(x) 4 3 16 8 2 2 2*cot(x) 2 2 | 4 3 4 4*cot(x) cot(x) 2 2 8 3 8 2 8*cot(x) 2*cot(x) 2 4 2 | 2 2 8 2 4 4 16 3 cot(x) 2*cot(x) 2 2 2 2 4 4 2 16 2 8 2*cot(x) 2 2 2 2 2 4 4 16*cot(x) 16 8 2 2 2 2 2 2 2 4 cot(x) 2 2 2 2 2 4 4 16*cot(x) 16 8 2 2 2 2 2 2 2 2 4 4 16*cot(x) 16 8 2 2 2 2 2 2 2 2 2 4 4 2 16 2 8 2*cot(x) 2 2 2 2
4*cot (x) 2*cot (x) 8*cot (x) 4*cot (x) 4*cot (x) 4*cot (x) 16*cot (x) 2*cot (x) 2*cot (x) 2*cot (x) 4*cot (x) 16*cot (x) 16*cot (x) 2*cot (x) \ 4*cot (x) 2*cot (x) 8*cot (x) 4*cot (x) / 4*cot (x) 16*cot (x) 2*cot (x) 2*cot (x) 16*cot (x) 4*cot (x) 16*cot (x)
$$- \frac{\cot^{3}{\left(3 \right)} \cot^{6}{\left(x \right)}}{x \log{\left(3 \right)} \cot^{6}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 3 x \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 12 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 12 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 8 x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 3 x \log{\left(3 \right)} \cot^{2}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - x \log{\left(3 \right)} + 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 6 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 24 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 6 \log{\left(3 \right)} \cot^{2}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - 2 \log{\left(3 \right)}} + \frac{3 \cot^{3}{\left(3 \right)} \cot^{4}{\left(x \right)}}{x \log{\left(3 \right)} \cot^{6}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 3 x \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 12 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 12 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 8 x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 3 x \log{\left(3 \right)} \cot^{2}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - x \log{\left(3 \right)} + 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 6 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 24 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 6 \log{\left(3 \right)} \cot^{2}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - 2 \log{\left(3 \right)}} - \frac{3 \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)}}{x \log{\left(3 \right)} \cot^{6}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 3 x \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 12 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 12 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 8 x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 3 x \log{\left(3 \right)} \cot^{2}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - x \log{\left(3 \right)} + 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 6 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 24 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 6 \log{\left(3 \right)} \cot^{2}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - 2 \log{\left(3 \right)}} + \frac{\cot^{3}{\left(3 \right)}}{x \log{\left(3 \right)} \cot^{6}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 3 x \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 12 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 12 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 8 x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 3 x \log{\left(3 \right)} \cot^{2}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - x \log{\left(3 \right)} + 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 6 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 24 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 6 \log{\left(3 \right)} \cot^{2}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - 2 \log{\left(3 \right)}} - \frac{3 \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)}}{\frac{x \log{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} - 3 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)} - \frac{3 x \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} + 6 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)} - 4 x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + \frac{3 x \log{\left(3 \right)} \cot{\left(x \right)}}{2} - 3 x \log{\left(3 \right)} \cot{\left(3 \right)} - \frac{x \log{\left(3 \right)}}{2 \cot{\left(x \right)}} + \log{\left(3 \right)} \cot^{5}{\left(x \right)} - 6 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{3}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)} - 8 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + 3 \log{\left(3 \right)} \cot{\left(x \right)} - 6 \log{\left(3 \right)} \cot{\left(3 \right)} - \frac{\log{\left(3 \right)}}{\cot{\left(x \right)}}} + \frac{6 \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)}}{\frac{x \log{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} - 3 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)} - \frac{3 x \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} + 6 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)} - 4 x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + \frac{3 x \log{\left(3 \right)} \cot{\left(x \right)}}{2} - 3 x \log{\left(3 \right)} \cot{\left(3 \right)} - \frac{x \log{\left(3 \right)}}{2 \cot{\left(x \right)}} + \log{\left(3 \right)} \cot^{5}{\left(x \right)} - 6 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{3}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)} - 8 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + 3 \log{\left(3 \right)} \cot{\left(x \right)} - 6 \log{\left(3 \right)} \cot{\left(3 \right)} - \frac{\log{\left(3 \right)}}{\cot{\left(x \right)}}} - \frac{3 \cot^{2}{\left(3 \right)}}{\frac{x \log{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} - 3 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)} - \frac{3 x \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} + 6 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + 6 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)} - 4 x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - 6 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + \frac{3 x \log{\left(3 \right)} \cot{\left(x \right)}}{2} - 3 x \log{\left(3 \right)} \cot{\left(3 \right)} - \frac{x \log{\left(3 \right)}}{2 \cot{\left(x \right)}} + \log{\left(3 \right)} \cot^{5}{\left(x \right)} - 6 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{3}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)} - 8 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + 3 \log{\left(3 \right)} \cot{\left(x \right)} - 6 \log{\left(3 \right)} \cot{\left(3 \right)} - \frac{\log{\left(3 \right)}}{\cot{\left(x \right)}}} + \frac{3 \cot{\left(3 \right)}}{\frac{x \log{\left(3 \right)} \cot^{4}{\left(x \right)}}{4} - \frac{3 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} - \frac{3 x \log{\left(3 \right)} \cot^{2}{\left(x \right)}}{4} + 3 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 3 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - 2 x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot{\left(x \right)} - 3 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} + \frac{3 x \log{\left(3 \right)}}{4} - \frac{3 x \log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot{\left(x \right)}} - \frac{x \log{\left(3 \right)}}{4 \cot^{2}{\left(x \right)}} + \frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - 3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - \frac{3 \log{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} + 6 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 6 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - 4 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot{\left(x \right)} - 6 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} + \frac{3 \log{\left(3 \right)}}{2} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)}}{\cot{\left(x \right)}} - \frac{\log{\left(3 \right)}}{2 \cot^{2}{\left(x \right)}}} - \frac{3 \cot{\left(3 \right)} \cot{\left(x \right)}}{2 \left(\frac{x \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{8} - \frac{3 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{4} - \frac{3 x \log{\left(3 \right)} \cot{\left(x \right)}}{8} + \frac{3 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)}}{2} + \frac{3 x \log{\left(3 \right)} \cot{\left(3 \right)}}{2} - x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} - \frac{3 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{2 \cot{\left(x \right)}} + \frac{3 x \log{\left(3 \right)}}{8 \cot{\left(x \right)}} - \frac{3 x \log{\left(3 \right)} \cot{\left(3 \right)}}{4 \cot^{2}{\left(x \right)}} - \frac{x \log{\left(3 \right)}}{8 \cot^{3}{\left(x \right)}} + \frac{\log{\left(3 \right)} \cot^{3}{\left(x \right)}}{4} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} - \frac{3 \log{\left(3 \right)} \cot{\left(x \right)}}{4} + 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + 3 \log{\left(3 \right)} \cot{\left(3 \right)} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} - \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{\cot{\left(x \right)}} + \frac{3 \log{\left(3 \right)}}{4 \cot{\left(x \right)}} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot^{2}{\left(x \right)}} - \frac{\log{\left(3 \right)}}{4 \cot^{3}{\left(x \right)}}\right)} - \frac{1}{\frac{x \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{8} - \frac{3 x \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{4} - \frac{3 x \log{\left(3 \right)} \cot{\left(x \right)}}{8} + \frac{3 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)}}{2} + \frac{3 x \log{\left(3 \right)} \cot{\left(3 \right)}}{2} - x \log{\left(3 \right)} \cot^{3}{\left(3 \right)} - \frac{3 x \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{2 \cot{\left(x \right)}} + \frac{3 x \log{\left(3 \right)}}{8 \cot{\left(x \right)}} - \frac{3 x \log{\left(3 \right)} \cot{\left(3 \right)}}{4 \cot^{2}{\left(x \right)}} - \frac{x \log{\left(3 \right)}}{8 \cot^{3}{\left(x \right)}} + \frac{\log{\left(3 \right)} \cot^{3}{\left(x \right)}}{4} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} - \frac{3 \log{\left(3 \right)} \cot{\left(x \right)}}{4} + 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + 3 \log{\left(3 \right)} \cot{\left(3 \right)} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} - \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{\cot{\left(x \right)}} + \frac{3 \log{\left(3 \right)}}{4 \cot{\left(x \right)}} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot^{2}{\left(x \right)}} - \frac{\log{\left(3 \right)}}{4 \cot^{3}{\left(x \right)}}} - \frac{3 \log{\left(x + 2 \right)} \cot^{4}{\left(3 \right)} \cot^{8}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{8}{\left(x \right)}}{2} - 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{7}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{5}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 3 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 8 \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{4}{\left(x \right)} + 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{2}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} + \frac{\log{\left(3 \right)}}{2}} + \frac{12 \log{\left(x + 2 \right)} \cot^{4}{\left(3 \right)} \cot^{6}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{8}{\left(x \right)}}{2} - 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{7}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{5}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 3 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 8 \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{4}{\left(x \right)} + 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{2}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} + \frac{\log{\left(3 \right)}}{2}} - \frac{18 \log{\left(x + 2 \right)} \cot^{4}{\left(3 \right)} \cot^{4}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{8}{\left(x \right)}}{2} - 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{7}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{5}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 3 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 8 \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{4}{\left(x \right)} + 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{2}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} + \frac{\log{\left(3 \right)}}{2}} + \frac{12 \log{\left(x + 2 \right)} \cot^{4}{\left(3 \right)} \cot^{2}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{8}{\left(x \right)}}{2} - 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{7}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{5}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 3 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 8 \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{4}{\left(x \right)} + 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{2}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} + \frac{\log{\left(3 \right)}}{2}} - \frac{3 \log{\left(x + 2 \right)} \cot^{4}{\left(3 \right)}}{\frac{\log{\left(3 \right)} \cot^{8}{\left(x \right)}}{2} - 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{7}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{6}{\left(x \right)} + 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)} - 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{5}{\left(x \right)} - 24 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)} + 3 \log{\left(3 \right)} \cot^{4}{\left(x \right)} + 8 \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{4}{\left(x \right)} + 16 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 12 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - 2 \log{\left(3 \right)} \cot^{2}{\left(x \right)} + 12 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 4 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} + \frac{\log{\left(3 \right)}}{2}} - \frac{3 \log{\left(x + 2 \right)} \cot^{3}{\left(3 \right)} \cot^{6}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{7}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{6}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{5}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{4}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + \frac{3 \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{3}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)}}{2} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2} + \frac{\log{\left(3 \right)}}{16 \cot{\left(x \right)}}} + \frac{9 \log{\left(x + 2 \right)} \cot^{3}{\left(3 \right)} \cot^{4}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{7}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{6}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{5}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{4}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + \frac{3 \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{3}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)}}{2} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2} + \frac{\log{\left(3 \right)}}{16 \cot{\left(x \right)}}} - \frac{9 \log{\left(x + 2 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{7}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{6}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{5}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{4}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + \frac{3 \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{3}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)}}{2} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2} + \frac{\log{\left(3 \right)}}{16 \cot{\left(x \right)}}} + \frac{3 \log{\left(x + 2 \right)} \cot^{3}{\left(3 \right)}}{\frac{\log{\left(3 \right)} \cot^{7}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{6}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{5}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{4}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)} + \frac{3 \log{\left(3 \right)} \cot^{3}{\left(x \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{3}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)}}{2} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2} + \frac{\log{\left(3 \right)}}{16 \cot{\left(x \right)}}} - \frac{9 \log{\left(x + 2 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{6}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(x \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot{\left(x \right)} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)}}{2} - \frac{\log{\left(3 \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{2} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot{\left(x \right)}} + \frac{\log{\left(3 \right)}}{16 \cot^{2}{\left(x \right)}}} + \frac{18 \log{\left(x + 2 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{6}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(x \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot{\left(x \right)} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)}}{2} - \frac{\log{\left(3 \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{2} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot{\left(x \right)}} + \frac{\log{\left(3 \right)}}{16 \cot^{2}{\left(x \right)}}} - \frac{9 \log{\left(x + 2 \right)} \cot^{2}{\left(3 \right)}}{\frac{\log{\left(3 \right)} \cot^{6}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{5}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{3}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(x \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot{\left(x \right)} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)}}{2} - \frac{\log{\left(3 \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{2} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot{\left(x \right)}} + \frac{\log{\left(3 \right)}}{16 \cot^{2}{\left(x \right)}}} + \frac{12 \log{\left(x + 2 \right)} \cot{\left(3 \right)}}{\frac{\log{\left(3 \right)} \cot^{5}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{3}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot^{2}{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + \frac{3 \log{\left(3 \right)} \cot{\left(x \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} \cot{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)}}{2} - \frac{\log{\left(3 \right)}}{4 \cot{\left(x \right)}} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{2 \cot{\left(x \right)}} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot^{2}{\left(x \right)}} + \frac{\log{\left(3 \right)}}{16 \cot^{3}{\left(x \right)}}} - \frac{12 \log{\left(x + 2 \right)} \cot{\left(3 \right)} \cot{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{2}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} + \frac{3 \log{\left(3 \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} + \frac{2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)}}{\cot{\left(x \right)}} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot{\left(x \right)}} - \frac{\log{\left(3 \right)}}{4 \cot^{2}{\left(x \right)}} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{2 \cot^{2}{\left(x \right)}} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot^{3}{\left(x \right)}} + \frac{\log{\left(3 \right)}}{16 \cot^{4}{\left(x \right)}}} - \frac{6 \log{\left(x + 2 \right)}}{\frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{16} - \frac{\log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)}}{2} - \frac{\log{\left(3 \right)} \cot^{2}{\left(x \right)}}{4} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)}}{2} + \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)} \cot{\left(x \right)} - 3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} + \frac{3 \log{\left(3 \right)}}{8} + \log{\left(3 \right)} \cot^{4}{\left(3 \right)} + \frac{2 \log{\left(3 \right)} \cot^{3}{\left(3 \right)}}{\cot{\left(x \right)}} - \frac{3 \log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot{\left(x \right)}} - \frac{\log{\left(3 \right)}}{4 \cot^{2}{\left(x \right)}} + \frac{3 \log{\left(3 \right)} \cot^{2}{\left(3 \right)}}{2 \cot^{2}{\left(x \right)}} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{2 \cot^{3}{\left(x \right)}} + \frac{\log{\left(3 \right)}}{16 \cot^{4}{\left(x \right)}}} - \frac{3 \log{\left(x + 2 \right)} \cot^{2}{\left(3 \right)} \cot^{4}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - \log{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} + \frac{\log{\left(3 \right)}}{2}} + \frac{6 \log{\left(x + 2 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - \log{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} + \frac{\log{\left(3 \right)}}{2}} - \frac{3 \log{\left(x + 2 \right)} \cot^{2}{\left(3 \right)}}{\frac{\log{\left(3 \right)} \cot^{4}{\left(x \right)}}{2} - 2 \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{3}{\left(x \right)} - \log{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot^{2}{\left(x \right)} + 2 \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} + \frac{\log{\left(3 \right)}}{2}} + \frac{6 \log{\left(x + 2 \right)} \cot{\left(3 \right)}}{\frac{\log{\left(3 \right)} \cot^{3}{\left(x \right)}}{4} - \log{\left(3 \right)} \cot{\left(3 \right)} \cot^{2}{\left(x \right)} - \frac{\log{\left(3 \right)} \cot{\left(x \right)}}{2} + \log{\left(3 \right)} \cot^{2}{\left(3 \right)} \cot{\left(x \right)} + \log{\left(3 \right)} \cot{\left(3 \right)} + \frac{\log{\left(3 \right)}}{4 \cot{\left(x \right)}}} - \frac{6 \log{\left(x + 2 \right)} \cot{\left(3 \right)} \cot{\left(x \right)}}{\frac{\log{\left(3 \right)} \cot^{2}{\left(x \right)}}{4} - \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - \frac{\log{\left(3 \right)}}{2} + \log{\left(3 \right)} \cot^{2}{\left(3 \right)} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{\cot{\left(x \right)}} + \frac{\log{\left(3 \right)}}{4 \cot^{2}{\left(x \right)}}} - \frac{6 \log{\left(x + 2 \right)}}{\frac{\log{\left(3 \right)} \cot^{2}{\left(x \right)}}{4} - \log{\left(3 \right)} \cot{\left(3 \right)} \cot{\left(x \right)} - \frac{\log{\left(3 \right)}}{2} + \log{\left(3 \right)} \cot^{2}{\left(3 \right)} + \frac{\log{\left(3 \right)} \cot{\left(3 \right)}}{\cot{\left(x \right)}} + \frac{\log{\left(3 \right)}}{4 \cot^{2}{\left(x \right)}}}$$
-1/(-2*cot(3)^3*log(3) + 3*cot(3)*log(3) - 3*cot(x)*log(3)/4 - log(3)/(4*cot(x)^3) + cot(x)^3*log(3)/4 + 3*log(3)/(4*cot(x)) - x*cot(3)^3*log(3) - 3*cot(3)^2*log(3)/cot(x) + 3*cot(3)^2*cot(x)*log(3) - 3*cot(3)*log(3)/(2*cot(x)^2) - 3*cot(x)^2*cot(3)*log(3)/2 - 3*x*cot(x)*log(3)/8 - x*log(3)/(8*cot(x)^3) + x*cot(x)^3*log(3)/8 + 3*x*cot(3)*log(3)/2 + 3*x*log(3)/(8*cot(x)) - 3*x*cot(3)^2*log(3)/(2*cot(x)) - 3*x*cot(3)*log(3)/(4*cot(x)^2) - 3*x*cot(x)^2*cot(3)*log(3)/4 + 3*x*cot(3)^2*cot(x)*log(3)/2) + cot(3)^3/(-2*log(3) - x*log(3) - 6*cot(x)^4*log(3) + 2*cot(x)^6*log(3) + 6*cot(x)^2*log(3) + x*cot(x)^6*log(3) - 24*cot(3)^2*cot(x)^2*log(3) - 16*cot(3)^3*cot(x)^3*log(3) - 12*cot(x)^5*cot(3)*log(3) - 12*cot(3)*cot(x)*log(3) - 3*x*cot(x)^4*log(3) + 3*x*cot(x)^2*log(3) + 24*cot(3)^2*cot(x)^4*log(3) + 24*cot(x)^3*cot(3)*log(3) - 12*x*cot(3)^2*cot(x)^2*log(3) - 8*x*cot(3)^3*cot(x)^3*log(3) - 6*x*cot(x)^5*cot(3)*log(3) - 6*x*cot(3)*cot(x)*log(3) + 12*x*cot(3)^2*cot(x)^4*log(3) + 12*x*cot(x)^3*cot(3)*log(3)) - 6*log(x + 2)/(-log(3)/2 + cot(3)^2*log(3) + log(3)/(4*cot(x)^2) + cot(x)^2*log(3)/4 + cot(3)*log(3)/cot(x) - cot(3)*cot(x)*log(3)) - 6*log(x + 2)/(3*log(3)/8 + cot(3)^4*log(3) - 3*cot(3)^2*log(3) - log(3)/(4*cot(x)^2) - cot(x)^2*log(3)/4 + log(3)/(16*cot(x)^4) + cot(x)^4*log(3)/16 + cot(3)*log(3)/(2*cot(x)^3) - 2*cot(3)^3*cot(x)*log(3) + 2*cot(3)^3*log(3)/cot(x) - 3*cot(3)*log(3)/(2*cot(x)) - cot(x)^3*cot(3)*log(3)/2 + 3*cot(3)^2*log(3)/(2*cot(x)^2) + 3*cot(3)^2*cot(x)^2*log(3)/2 + 3*cot(3)*cot(x)*log(3)/2) - 3*cot(3)^2/(cot(x)^5*log(3) - log(3)/cot(x) - 6*cot(3)*log(3) - 3*cot(x)^3*log(3) + 3*cot(x)*log(3) + x*cot(x)^5*log(3)/2 - 12*cot(3)^2*cot(x)*log(3) - 8*cot(3)^3*cot(x)^2*log(3) - 6*cot(x)^4*cot(3)*log(3) - 3*x*cot(3)*log(3) + 12*cot(3)^2*cot(x)^3*log(3) + 12*cot(x)^2*cot(3)*log(3) - 3*x*cot(x)^3*log(3)/2 - x*log(3)/(2*cot(x)) + 3*x*cot(x)*log(3)/2 - 6*x*cot(3)^2*cot(x)*log(3) - 4*x*cot(3)^3*cot(x)^2*log(3) - 3*x*cot(x)^4*cot(3)*log(3) + 6*x*cot(3)^2*cot(x)^3*log(3) + 6*x*cot(x)^2*cot(3)*log(3)) + 3*cot(3)/(3*log(3)/2 + cot(x)^4*log(3)/2 - 6*cot(3)^2*log(3) - 3*cot(x)^2*log(3)/2 - log(3)/(2*cot(x)^2) + 3*x*log(3)/4 - 4*cot(3)^3*cot(x)*log(3) - 3*x*cot(3)^2*log(3) - 3*cot(3)*log(3)/cot(x) - 3*cot(x)^3*cot(3)*log(3) + 6*cot(3)^2*cot(x)^2*log(3) + 6*cot(3)*cot(x)*log(3) - 3*x*cot(x)^2*log(3)/4 - x*log(3)/(4*cot(x)^2) + x*cot(x)^4*log(3)/4 - 2*x*cot(3)^3*cot(x)*log(3) + 3*x*cot(3)^2*cot(x)^2*log(3) + 3*x*cot(3)*cot(x)*log(3) - 3*x*cot(3)*log(3)/(2*cot(x)) - 3*x*cot(x)^3*cot(3)*log(3)/2) - cot(3)^3*cot(x)^6/(-2*log(3) - x*log(3) - 6*cot(x)^4*log(3) + 2*cot(x)^6*log(3) + 6*cot(x)^2*log(3) + x*cot(x)^6*log(3) - 24*cot(3)^2*cot(x)^2*log(3) - 16*cot(3)^3*cot(x)^3*log(3) - 12*cot(x)^5*cot(3)*log(3) - 12*cot(3)*cot(x)*log(3) - 3*x*cot(x)^4*log(3) + 3*x*cot(x)^2*log(3) + 24*cot(3)^2*cot(x)^4*log(3) + 24*cot(x)^3*cot(3)*log(3) - 12*x*cot(3)^2*cot(x)^2*log(3) - 8*x*cot(3)^3*cot(x)^3*log(3) - 6*x*cot(x)^5*cot(3)*log(3) - 6*x*cot(3)*cot(x)*log(3) + 12*x*cot(3)^2*cot(x)^4*log(3) + 12*x*cot(x)^3*cot(3)*log(3)) - 9*cot(3)^2*log(x + 2)/(-log(3)/4 - cot(x)^4*log(3)/4 + log(3)/(16*cot(x)^2) + cot(x)^6*log(3)/16 + 3*cot(3)^2*log(3)/2 + 3*cot(x)^2*log(3)/8 + cot(3)^4*cot(x)^2*log(3) + cot(3)*log(3)/(2*cot(x)) - 3*cot(3)^2*cot(x)^2*log(3) - 2*cot(3)^3*cot(x)^3*log(3) + 2*cot(3)^3*cot(x)*log(3) - 3*cot(3)*cot(x)*log(3)/2 - cot(x)^5*cot(3)*log(3)/2 + 3*cot(3)^2*cot(x)^4*log(3)/2 + 3*cot(x)^3*cot(3)*log(3)/2) - 3*cot(3)^2*log(x + 2)/(log(3)/2 + cot(x)^4*log(3)/2 - cot(x)^2*log(3) - 2*cot(x)^3*cot(3)*log(3) + 2*cot(3)^2*cot(x)^2*log(3) + 2*cot(3)*cot(x)*log(3)) - 3*cot(3)^4*log(x + 2)/(log(3)/2 + cot(x)^8*log(3)/2 - 2*cot(x)^2*log(3) - 2*cot(x)^6*log(3) + 3*cot(x)^4*log(3) - 24*cot(3)^2*cot(x)^4*log(3) - 16*cot(3)^3*cot(x)^5*log(3) - 12*cot(x)^3*cot(3)*log(3) - 4*cot(x)^7*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot(3)^4*cot(x)^4*log(3) + 12*cot(3)^2*cot(x)^2*log(3) + 12*cot(3)^2*cot(x)^6*log(3) + 12*cot(x)^5*cot(3)*log(3) + 16*cot(3)^3*cot(x)^3*log(3)) - 3*cot(3)^3*cot(x)^2/(-2*log(3) - x*log(3) - 6*cot(x)^4*log(3) + 2*cot(x)^6*log(3) + 6*cot(x)^2*log(3) + x*cot(x)^6*log(3) - 24*cot(3)^2*cot(x)^2*log(3) - 16*cot(3)^3*cot(x)^3*log(3) - 12*cot(x)^5*cot(3)*log(3) - 12*cot(3)*cot(x)*log(3) - 3*x*cot(x)^4*log(3) + 3*x*cot(x)^2*log(3) + 24*cot(3)^2*cot(x)^4*log(3) + 24*cot(x)^3*cot(3)*log(3) - 12*x*cot(3)^2*cot(x)^2*log(3) - 8*x*cot(3)^3*cot(x)^3*log(3) - 6*x*cot(x)^5*cot(3)*log(3) - 6*x*cot(3)*cot(x)*log(3) + 12*x*cot(3)^2*cot(x)^4*log(3) + 12*x*cot(x)^3*cot(3)*log(3)) - 3*cot(3)^2*cot(x)^4/(cot(x)^5*log(3) - log(3)/cot(x) - 6*cot(3)*log(3) - 3*cot(x)^3*log(3) + 3*cot(x)*log(3) + x*cot(x)^5*log(3)/2 - 12*cot(3)^2*cot(x)*log(3) - 8*cot(3)^3*cot(x)^2*log(3) - 6*cot(x)^4*cot(3)*log(3) - 3*x*cot(3)*log(3) + 12*cot(3)^2*cot(x)^3*log(3) + 12*cot(x)^2*cot(3)*log(3) - 3*x*cot(x)^3*log(3)/2 - x*log(3)/(2*cot(x)) + 3*x*cot(x)*log(3)/2 - 6*x*cot(3)^2*cot(x)*log(3) - 4*x*cot(3)^3*cot(x)^2*log(3) - 3*x*cot(x)^4*cot(3)*log(3) + 6*x*cot(3)^2*cot(x)^3*log(3) + 6*x*cot(x)^2*cot(3)*log(3)) + 3*cot(3)^3*log(x + 2)/(cot(3)*log(3)/2 - cot(x)^5*log(3)/4 - cot(x)*log(3)/4 + log(3)/(16*cot(x)) + cot(x)^7*log(3)/16 + 3*cot(x)^3*log(3)/8 + cot(3)^4*cot(x)^3*log(3) - 3*cot(3)^2*cot(x)^3*log(3) - 2*cot(3)^3*cot(x)^4*log(3) + 2*cot(3)^3*cot(x)^2*log(3) - 3*cot(x)^2*cot(3)*log(3)/2 - cot(x)^6*cot(3)*log(3)/2 + 3*cot(3)^2*cot(x)^5*log(3)/2 + 3*cot(3)^2*cot(x)*log(3)/2 + 3*cot(x)^4*cot(3)*log(3)/2) + 3*cot(3)^3*cot(x)^4/(-2*log(3) - x*log(3) - 6*cot(x)^4*log(3) + 2*cot(x)^6*log(3) + 6*cot(x)^2*log(3) + x*cot(x)^6*log(3) - 24*cot(3)^2*cot(x)^2*log(3) - 16*cot(3)^3*cot(x)^3*log(3) - 12*cot(x)^5*cot(3)*log(3) - 12*cot(3)*cot(x)*log(3) - 3*x*cot(x)^4*log(3) + 3*x*cot(x)^2*log(3) + 24*cot(3)^2*cot(x)^4*log(3) + 24*cot(x)^3*cot(3)*log(3) - 12*x*cot(3)^2*cot(x)^2*log(3) - 8*x*cot(3)^3*cot(x)^3*log(3) - 6*x*cot(x)^5*cot(3)*log(3) - 6*x*cot(3)*cot(x)*log(3) + 12*x*cot(3)^2*cot(x)^4*log(3) + 12*x*cot(x)^3*cot(3)*log(3)) + 6*cot(3)*log(x + 2)/(cot(3)*log(3) - cot(x)*log(3)/2 + log(3)/(4*cot(x)) + cot(x)^3*log(3)/4 + cot(3)^2*cot(x)*log(3) - cot(x)^2*cot(3)*log(3)) + 6*cot(3)^2*cot(x)^2/(cot(x)^5*log(3) - log(3)/cot(x) - 6*cot(3)*log(3) - 3*cot(x)^3*log(3) + 3*cot(x)*log(3) + x*cot(x)^5*log(3)/2 - 12*cot(3)^2*cot(x)*log(3) - 8*cot(3)^3*cot(x)^2*log(3) - 6*cot(x)^4*cot(3)*log(3) - 3*x*cot(3)*log(3) + 12*cot(3)^2*cot(x)^3*log(3) + 12*cot(x)^2*cot(3)*log(3) - 3*x*cot(x)^3*log(3)/2 - x*log(3)/(2*cot(x)) + 3*x*cot(x)*log(3)/2 - 6*x*cot(3)^2*cot(x)*log(3) - 4*x*cot(3)^3*cot(x)^2*log(3) - 3*x*cot(x)^4*cot(3)*log(3) + 6*x*cot(3)^2*cot(x)^3*log(3) + 6*x*cot(x)^2*cot(3)*log(3)) + 12*cot(3)*log(x + 2)/(2*cot(3)^3*log(3) - 3*cot(3)*log(3)/2 - log(3)/(4*cot(x)) - cot(x)^3*log(3)/4 + log(3)/(16*cot(x)^3) + cot(x)^5*log(3)/16 + 3*cot(x)*log(3)/8 + cot(3)^4*cot(x)*log(3) + cot(3)*log(3)/(2*cot(x)^2) - 3*cot(3)^2*cot(x)*log(3) - 2*cot(3)^3*cot(x)^2*log(3) - cot(x)^4*cot(3)*log(3)/2 + 3*cot(3)^2*log(3)/(2*cot(x)) + 3*cot(3)^2*cot(x)^3*log(3)/2 + 3*cot(x)^2*cot(3)*log(3)/2) - 3*cot(3)*cot(x)/(2*(-2*cot(3)^3*log(3) + 3*cot(3)*log(3) - 3*cot(x)*log(3)/4 - log(3)/(4*cot(x)^3) + cot(x)^3*log(3)/4 + 3*log(3)/(4*cot(x)) - x*cot(3)^3*log(3) - 3*cot(3)^2*log(3)/cot(x) + 3*cot(3)^2*cot(x)*log(3) - 3*cot(3)*log(3)/(2*cot(x)^2) - 3*cot(x)^2*cot(3)*log(3)/2 - 3*x*cot(x)*log(3)/8 - x*log(3)/(8*cot(x)^3) + x*cot(x)^3*log(3)/8 + 3*x*cot(3)*log(3)/2 + 3*x*log(3)/(8*cot(x)) - 3*x*cot(3)^2*log(3)/(2*cot(x)) - 3*x*cot(3)*log(3)/(4*cot(x)^2) - 3*x*cot(x)^2*cot(3)*log(3)/4 + 3*x*cot(3)^2*cot(x)*log(3)/2)) - 18*cot(3)^4*cot(x)^4*log(x + 2)/(log(3)/2 + cot(x)^8*log(3)/2 - 2*cot(x)^2*log(3) - 2*cot(x)^6*log(3) + 3*cot(x)^4*log(3) - 24*cot(3)^2*cot(x)^4*log(3) - 16*cot(3)^3*cot(x)^5*log(3) - 12*cot(x)^3*cot(3)*log(3) - 4*cot(x)^7*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot(3)^4*cot(x)^4*log(3) + 12*cot(3)^2*cot(x)^2*log(3) + 12*cot(3)^2*cot(x)^6*log(3) + 12*cot(x)^5*cot(3)*log(3) + 16*cot(3)^3*cot(x)^3*log(3)) - 12*cot(3)*cot(x)*log(x + 2)/(3*log(3)/8 + cot(3)^4*log(3) - 3*cot(3)^2*log(3) - log(3)/(4*cot(x)^2) - cot(x)^2*log(3)/4 + log(3)/(16*cot(x)^4) + cot(x)^4*log(3)/16 + cot(3)*log(3)/(2*cot(x)^3) - 2*cot(3)^3*cot(x)*log(3) + 2*cot(3)^3*log(3)/cot(x) - 3*cot(3)*log(3)/(2*cot(x)) - cot(x)^3*cot(3)*log(3)/2 + 3*cot(3)^2*log(3)/(2*cot(x)^2) + 3*cot(3)^2*cot(x)^2*log(3)/2 + 3*cot(3)*cot(x)*log(3)/2) - 9*cot(3)^2*cot(x)^4*log(x + 2)/(-log(3)/4 - cot(x)^4*log(3)/4 + log(3)/(16*cot(x)^2) + cot(x)^6*log(3)/16 + 3*cot(3)^2*log(3)/2 + 3*cot(x)^2*log(3)/8 + cot(3)^4*cot(x)^2*log(3) + cot(3)*log(3)/(2*cot(x)) - 3*cot(3)^2*cot(x)^2*log(3) - 2*cot(3)^3*cot(x)^3*log(3) + 2*cot(3)^3*cot(x)*log(3) - 3*cot(3)*cot(x)*log(3)/2 - cot(x)^5*cot(3)*log(3)/2 + 3*cot(3)^2*cot(x)^4*log(3)/2 + 3*cot(x)^3*cot(3)*log(3)/2) - 9*cot(3)^3*cot(x)^2*log(x + 2)/(cot(3)*log(3)/2 - cot(x)^5*log(3)/4 - cot(x)*log(3)/4 + log(3)/(16*cot(x)) + cot(x)^7*log(3)/16 + 3*cot(x)^3*log(3)/8 + cot(3)^4*cot(x)^3*log(3) - 3*cot(3)^2*cot(x)^3*log(3) - 2*cot(3)^3*cot(x)^4*log(3) + 2*cot(3)^3*cot(x)^2*log(3) - 3*cot(x)^2*cot(3)*log(3)/2 - cot(x)^6*cot(3)*log(3)/2 + 3*cot(3)^2*cot(x)^5*log(3)/2 + 3*cot(3)^2*cot(x)*log(3)/2 + 3*cot(x)^4*cot(3)*log(3)/2) - 6*cot(3)*cot(x)*log(x + 2)/(-log(3)/2 + cot(3)^2*log(3) + log(3)/(4*cot(x)^2) + cot(x)^2*log(3)/4 + cot(3)*log(3)/cot(x) - cot(3)*cot(x)*log(3)) - 3*cot(3)^2*cot(x)^4*log(x + 2)/(log(3)/2 + cot(x)^4*log(3)/2 - cot(x)^2*log(3) - 2*cot(x)^3*cot(3)*log(3) + 2*cot(3)^2*cot(x)^2*log(3) + 2*cot(3)*cot(x)*log(3)) - 3*cot(3)^4*cot(x)^8*log(x + 2)/(log(3)/2 + cot(x)^8*log(3)/2 - 2*cot(x)^2*log(3) - 2*cot(x)^6*log(3) + 3*cot(x)^4*log(3) - 24*cot(3)^2*cot(x)^4*log(3) - 16*cot(3)^3*cot(x)^5*log(3) - 12*cot(x)^3*cot(3)*log(3) - 4*cot(x)^7*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot(3)^4*cot(x)^4*log(3) + 12*cot(3)^2*cot(x)^2*log(3) + 12*cot(3)^2*cot(x)^6*log(3) + 12*cot(x)^5*cot(3)*log(3) + 16*cot(3)^3*cot(x)^3*log(3)) - 3*cot(3)^3*cot(x)^6*log(x + 2)/(cot(3)*log(3)/2 - cot(x)^5*log(3)/4 - cot(x)*log(3)/4 + log(3)/(16*cot(x)) + cot(x)^7*log(3)/16 + 3*cot(x)^3*log(3)/8 + cot(3)^4*cot(x)^3*log(3) - 3*cot(3)^2*cot(x)^3*log(3) - 2*cot(3)^3*cot(x)^4*log(3) + 2*cot(3)^3*cot(x)^2*log(3) - 3*cot(x)^2*cot(3)*log(3)/2 - cot(x)^6*cot(3)*log(3)/2 + 3*cot(3)^2*cot(x)^5*log(3)/2 + 3*cot(3)^2*cot(x)*log(3)/2 + 3*cot(x)^4*cot(3)*log(3)/2) + 6*cot(3)^2*cot(x)^2*log(x + 2)/(log(3)/2 + cot(x)^4*log(3)/2 - cot(x)^2*log(3) - 2*cot(x)^3*cot(3)*log(3) + 2*cot(3)^2*cot(x)^2*log(3) + 2*cot(3)*cot(x)*log(3)) + 9*cot(3)^3*cot(x)^4*log(x + 2)/(cot(3)*log(3)/2 - cot(x)^5*log(3)/4 - cot(x)*log(3)/4 + log(3)/(16*cot(x)) + cot(x)^7*log(3)/16 + 3*cot(x)^3*log(3)/8 + cot(3)^4*cot(x)^3*log(3) - 3*cot(3)^2*cot(x)^3*log(3) - 2*cot(3)^3*cot(x)^4*log(3) + 2*cot(3)^3*cot(x)^2*log(3) - 3*cot(x)^2*cot(3)*log(3)/2 - cot(x)^6*cot(3)*log(3)/2 + 3*cot(3)^2*cot(x)^5*log(3)/2 + 3*cot(3)^2*cot(x)*log(3)/2 + 3*cot(x)^4*cot(3)*log(3)/2) + 12*cot(3)^4*cot(x)^2*log(x + 2)/(log(3)/2 + cot(x)^8*log(3)/2 - 2*cot(x)^2*log(3) - 2*cot(x)^6*log(3) + 3*cot(x)^4*log(3) - 24*cot(3)^2*cot(x)^4*log(3) - 16*cot(3)^3*cot(x)^5*log(3) - 12*cot(x)^3*cot(3)*log(3) - 4*cot(x)^7*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot(3)^4*cot(x)^4*log(3) + 12*cot(3)^2*cot(x)^2*log(3) + 12*cot(3)^2*cot(x)^6*log(3) + 12*cot(x)^5*cot(3)*log(3) + 16*cot(3)^3*cot(x)^3*log(3)) + 12*cot(3)^4*cot(x)^6*log(x + 2)/(log(3)/2 + cot(x)^8*log(3)/2 - 2*cot(x)^2*log(3) - 2*cot(x)^6*log(3) + 3*cot(x)^4*log(3) - 24*cot(3)^2*cot(x)^4*log(3) - 16*cot(3)^3*cot(x)^5*log(3) - 12*cot(x)^3*cot(3)*log(3) - 4*cot(x)^7*cot(3)*log(3) + 4*cot(3)*cot(x)*log(3) + 8*cot(3)^4*cot(x)^4*log(3) + 12*cot(3)^2*cot(x)^2*log(3) + 12*cot(3)^2*cot(x)^6*log(3) + 12*cot(x)^5*cot(3)*log(3) + 16*cot(3)^3*cot(x)^3*log(3)) + 18*cot(3)^2*cot(x)^2*log(x + 2)/(-log(3)/4 - cot(x)^4*log(3)/4 + log(3)/(16*cot(x)^2) + cot(x)^6*log(3)/16 + 3*cot(3)^2*log(3)/2 + 3*cot(x)^2*log(3)/8 + cot(3)^4*cot(x)^2*log(3) + cot(3)*log(3)/(2*cot(x)) - 3*cot(3)^2*cot(x)^2*log(3) - 2*cot(3)^3*cot(x)^3*log(3) + 2*cot(3)^3*cot(x)*log(3) - 3*cot(3)*cot(x)*log(3)/2 - cot(x)^5*cot(3)*log(3)/2 + 3*cot(3)^2*cot(x)^4*log(3)/2 + 3*cot(x)^3*cot(3)*log(3)/2)
Combinatoria
[src]
2 / 2 2 \
-cot (-3 + 2*x)*\-cot(-3 + 2*x) + 12*log(2 + x) + 6*x*log(2 + x) + 12*cot (-3 + 2*x)*log(2 + x) + 6*x*cot (-3 + 2*x)*log(2 + x)/
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(2 + x)*log(3)
$$- \frac{\left(6 x \log{\left(x + 2 \right)} \cot^{2}{\left(2 x - 3 \right)} + 6 x \log{\left(x + 2 \right)} + 12 \log{\left(x + 2 \right)} \cot^{2}{\left(2 x - 3 \right)} + 12 \log{\left(x + 2 \right)} - \cot{\left(2 x - 3 \right)}\right) \cot^{2}{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(3 \right)}}$$
-cot(-3 + 2*x)^2*(-cot(-3 + 2*x) + 12*log(2 + x) + 6*x*log(2 + x) + 12*cot(-3 + 2*x)^2*log(2 + x) + 6*x*cot(-3 + 2*x)^2*log(2 + x))/((2 + x)*log(3))
Unión de expresiones racionales
[src]
2 / / 2 \ \
cot (-3 + 2*x)*\6*\-1 - cot (-3 + 2*x)/*(2 + x)*log(2 + x) + cot(-3 + 2*x)/
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(2 + x)*log(3)
$$\frac{\left(6 \left(x + 2\right) \left(- \cot^{2}{\left(2 x - 3 \right)} - 1\right) \log{\left(x + 2 \right)} + \cot{\left(2 x - 3 \right)}\right) \cot^{2}{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(3 \right)}}$$
cot(-3 + 2*x)^2*(6*(-1 - cot(-3 + 2*x)^2)*(2 + x)*log(2 + x) + cot(-3 + 2*x))/((2 + x)*log(3))
© Sr Examen – Калькулятор