Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
-
¿Cómo usar?
- Derivada de:
-
Derivada de -2*y
-
Derivada de 3^2*x
-
Derivada de 2*x+8/x
-
Derivada de -1/y
-
Expresiones idénticas
- x*expatan(tan(x/ dos))-sqrt(tres)/ seis *log(abs((tg(x/ dos)+sqrt(tres))/(tg(x/ dos)-sqrt(tres))))(-x)
- x multiplicar por exponente de arco tangente de gente de ( tangente de (x dividir por 2)) menos raíz cuadrada de (3) dividir por 6 multiplicar por logaritmo de (abs((tg(x dividir por 2) más raíz cuadrada de (3)) dividir por (tg(x dividir por 2) menos raíz cuadrada de (3))))( menos x)
- x multiplicar por exponente de arco tangente de gente de ( tangente de (x dividir por dos)) menos raíz cuadrada de (tres) dividir por seis multiplicar por logaritmo de (abs((tg(x dividir por dos) más raíz cuadrada de (tres)) dividir por (tg(x dividir por dos) menos raíz cuadrada de (tres))))( menos x)
- x*expatan(tan(x/2))-√(3)/6*log(abs((tg(x/2)+√(3))/(tg(x/2)-√(3))))(-x)
- xexpatan(tan(x/2))-sqrt(3)/6log(abs((tg(x/2)+sqrt(3))/(tg(x/2)-sqrt(3))))(-x)
- xexpatantanx/2-sqrt3/6logabstgx/2+sqrt3/tgx/2-sqrt3-x
- x*expatan(tan(x dividir por 2))-sqrt(3) dividir por 6*log(abs((tg(x dividir por 2)+sqrt(3)) dividir por (tg(x dividir por 2)-sqrt(3))))(-x)
-
Expresiones semejantes
- x*expatan(tan(x/2))-sqrt(3)/6*log(abs((tg(x/2)-sqrt(3))/(tg(x/2)-sqrt(3))))(-x)
- x*expatan(tan(x/2))-sqrt(3)/6*log(abs((tg(x/2)+sqrt(3))/(tg(x/2)-sqrt(3))))(x)
- x*expatan(tan(x/2))+sqrt(3)/6*log(abs((tg(x/2)+sqrt(3))/(tg(x/2)-sqrt(3))))(-x)
- x*expatan(tan(x/2))-sqrt(3)/6*log(abs((tg(x/2)+sqrt(3))/(tg(x/2)+sqrt(3))))(-x)
- x*exparctan(tan(x/2))-sqrt(3)/6*log(abs((tg(x/2)+sqrt(3))/(tg(x/2)-sqrt(3))))(-x)
-
Expresiones con funciones
- Tangente tan
- tan(3*y)
- tan(3*x-pi/6)
- Raíz cuadrada sqrt
- sqrt(x*2)
- sqrt((x-1)/2)
- sqrt(3*y)
- sqrt(10*x)
- sqrt((26/25)^3)+(log(1.02))
- Logaritmo log
- log(x)+(x+1)^3
- log(x)^(2)/x
- log(sin(sqrt(x)))
- log(x)^-1
- log(5+2*sin(7*x))
- Raíz cuadrada sqrt
- sqrt(x*2)
- sqrt((x-1)/2)
- sqrt(3*y)
- sqrt(10*x)
- sqrt((26/25)^3)+(log(1.02))
- Raíz cuadrada sqrt
- sqrt(x*2)
- sqrt((x-1)/2)
- sqrt(3*y)
- sqrt(10*x)
- sqrt((26/25)^3)+(log(1.02))
Derivada de la función/
x*expatan(tan(x/2))-sqrt(3)/6*log(abs((tg(x/2)+sqrt(3))/(tg(x/2)-sqrt(3))))(-x)
Derivada de x*expatan(tan(x/2))-sqrt(3)/6*log(abs((tg(x/2)+sqrt(3))/(tg(x/2)-sqrt(3))))(-x)
Solución
Ha introducido
[src]
/ /x\\ /| /x\ ___|\
atan|tan|-|| ___ ||tan|-| + \/ 3 ||
\ \2// \/ 3 || \2/ ||
x*e - -----*log||--------------||*(-x)
6 || /x\ ___||
||tan|-| - \/ 3 ||
\| \2/ |/
$$- - x \frac{\sqrt{3}}{6} \log{\left(\left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right| \right)} + x e^{\operatorname{atan}{\left(\tan{\left(\frac{x}{2} \right)} \right)}}$$
x*exp(atan(tan(x/2))) - (sqrt(3)/6)*log(Abs((tan(x/2) + sqrt(3))/(tan(x/2) - sqrt(3))))*(-x)
Primera derivada
[src]
/ 2/x\ / 2/x\\ \
| tan |-| | tan |-|| |
| 1 \2/ | 1 \2/| / ___ /x\\|
/| /x\ ___|\ ______________________________ | - + ------- |- - - -------|*|\/ 3 + tan|-|||
||tan|-| + \/ 3 || ___ / 2/x\ ___ /x\ / ___ /x\\ | 2 2 \ 2 2 / \ \2//|
___ || \2/ || / 2/x\\ / /x\\ x*\/ 3 * / 3 + tan |-| - 2*\/ 3 *tan|-| *|\/ 3 + tan|-||*|---------------- + --------------------------------|
\/ 3 *log||--------------|| | tan |-|| atan|tan|-|| \/ \2/ \2/ \ \2// | ___ /x\ 2 |
|| /x\ ___|| |1 \2/| \ \2// |- \/ 3 + tan|-| / ___ /x\\ | / /x\\
||tan|-| - \/ 3 || x*|- + -------|*e | \2/ |- \/ 3 + tan|-|| | atan|tan|-||
\| \2/ |/ \2 2 / \ \ \2// / \ \2//
--------------------------- + ----------------------------- + ----------------------------------------------------------------------------------------------------------------- + e
6 2/x\ | /x\ ___|
1 + tan |-| ______________________________ |tan|-| + \/ 3 |
\2/ / ___ /x\\ / 2/x\ ___ /x\ | \2/ |
6*|- \/ 3 + tan|-||* / 3 + tan |-| + 2*\/ 3 *tan|-| *|--------------|
\ \2// \/ \2/ \2/ | /x\ ___|
|tan|-| - \/ 3 |
| \2/ |
$$\frac{\sqrt{3} x \left(\frac{\frac{\tan^{2}{\left(\frac{x}{2} \right)}}{2} + \frac{1}{2}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(- \frac{\tan^{2}{\left(\frac{x}{2} \right)}}{2} - \frac{1}{2}\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{6 \left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right) \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{x \left(\frac{\tan^{2}{\left(\frac{x}{2} \right)}}{2} + \frac{1}{2}\right) e^{\operatorname{atan}{\left(\tan{\left(\frac{x}{2} \right)} \right)}}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + e^{\operatorname{atan}{\left(\tan{\left(\frac{x}{2} \right)} \right)}} + \frac{\sqrt{3} \log{\left(\left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right| \right)}}{6}$$
Segunda derivada
[src]
2 / 2/x\ / 2/x\\ / ___ /x\\ / ___ /x\\ /x\ \
/ ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ ______________________________ | 1 + tan |-| |1 + tan |-||*|\/ 3 + tan|-|| |\/ 3 + tan|-||*tan|-| | / ___ /x\ \
______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | 2 | \/ 3 + tan|-| | 2 2 2 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | ___ / 2/x\ ___ /x\ / 2/x\\ / ___ /x\\ | \2/ \ \2// \ \2// \ \2// \2/ /x\| 2 | \/ 3 + tan|-| |
___ / 2/x\ ___ /x\ / 2/x\\ | \2/ | / ___ /x\\ ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | ___ / 2/x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ ___ / 2/x\\ / ___ /x\\ / 2/x\ ___ /x\ | \2/ | ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ x*\/ 3 * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 + tan |-||*|\/ 3 + tan|-||*|- ---------------- + ------------------------------ - ----------------------- + tan|-|| ___ / 2/x\\ | \2/ | / ___ /x\\ / ___ /x\\
/ /x\\ \/ 3 * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 + tan |-||*|1 - ----------------|*|\/ 3 + tan|-|| x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------| x*\/ 3 *|1 + tan |-|| *|1 - ----------------| *|\/ 3 + tan|-|| *|3 + tan |-| - 2*\/ 3 *tan|-|| x*\/ 3 *|1 + tan |-|| *|\/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------| x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------|*|\/ 3 + tan|-|| \/ \2/ \2/ \ \2// \ \2// | ___ /x\ 2 ___ /x\ \2/| x*\/ 3 *|1 + tan |-|| *|1 - ----------------|*|\/ 3 - tan|-||*|\/ 3 + tan|-||
atan|tan|-|| \/ \2/ \2/ \ \2// | ___ /x\| \ \2// \ \2// \/ \2/ \2/ | ___ /x\| \ \2// | ___ /x\| \ \2// \ \2/ \2// \ \2// \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// | - \/ 3 + tan|-| / ___ /x\\ - \/ 3 + tan|-| | \ \2// | ___ /x\| \ \2// \ \2// / /x\\
\ \2// | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | \2/ |- \/ 3 + tan|-|| \2/ | | - \/ 3 + tan|-|| atan|tan|-||
x*e \ \2// \ \2// \ \2// \ \2// \ \2// \ \ \2// / \ \2// \ \2//
--------------- + ---------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------- + e
4 | ___ /x\ | | ___ /x\ | 2 | ___ /x\ | | ___ /x\ | | ___ /x\ | | ___ /x\ |
2 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | | ___ /x\ | 2 3/2 | \/ 3 + tan|-| | 3 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ ______________________________ | \/ 3 + tan|-| |
/ ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | 4 | \/ 3 + tan|-| | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ / 2/x\ ___ /x\ | \2/ |
6*|- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| 24*|- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | 24*|- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| 24*|- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| 12*|- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| 24*|- \/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------|
\ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| 24*|- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-||*|----------------| \ \2// \ \2/ \2// | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ \/ \2/ \2/ | ___ /x\|
|- \/ 3 + tan|-|| |- \/ 3 + tan|-|| \ \2// \ \2/ \2// | ___ /x\| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-||
| \2/| | \2/| |- \/ 3 + tan|-|| | \2/| | \2/| | \2/| | \2/|
| \2/|
$$- \frac{\sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right)^{2} \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)}{24 \left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{4} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right) \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|^{2}} - \frac{\sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{24 \left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{\sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{24 \left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{\sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{24 \left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{\sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{24 \left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{x e^{\operatorname{atan}{\left(\tan{\left(\frac{x}{2} \right)} \right)}}}{4} + \frac{\sqrt{3} x \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left(\tan{\left(\frac{x}{2} \right)} - \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}}\right)}{12 \left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{\sqrt{3} \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{6 \left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + e^{\operatorname{atan}{\left(\tan{\left(\frac{x}{2} \right)} \right)}}$$
Tercera derivada
[src]
/ 2 2 \
2 / 2/x\ / 2/x\\ / ___ /x\\ / ___ /x\\ /x\ \ / 2/x\ / 2/x\\ / ___ /x\\ / ___ /x\\ /x\ \ / 2/x\ / 2/x\\ / ___ /x\\ / ___ /x\\ /x\ \ / 2/x\ / 2/x\\ / ___ /x\\ / ___ /x\\ /x\ \ 2 3 | / 2/x\\ / 2/x\\ / ___ /x\\ / 2/x\\ /x\ / 2/x\\ / ___ /x\\ 2/x\ / ___ /x\\ / 2/x\\ / ___ /x\\ /x\| 2 2 2 / ___ /x\ \ / 2/x\ / 2/x\\ / ___ /x\\ / ___ /x\\ /x\ \ / 2/x\ / 2/x\\ / ___ /x\\ / ___ /x\\ /x\ \
/ ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ 2 ______________________________ | 1 + tan |-| |1 + tan |-||*|\/ 3 + tan|-|| |\/ 3 + tan|-||*tan|-| | ______________________________ | 1 + tan |-| |1 + tan |-||*|\/ 3 + tan|-|| |\/ 3 + tan|-||*tan|-| | / ___ /x\ \ 2 2 ______________________________ | 1 + tan |-| |1 + tan |-||*|\/ 3 + tan|-|| |\/ 3 + tan|-||*tan|-| | 2 ______________________________ | 1 + tan |-| |1 + tan |-||*|\/ 3 + tan|-|| |\/ 3 + tan|-||*tan|-| | / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ ______________________________ | 3*|1 + tan |-|| |1 + tan |-||*|\/ 3 + tan|-|| 6*|1 + tan |-||*tan|-| 3*|1 + tan |-|| *|\/ 3 + tan|-|| 2*tan |-|*|\/ 3 + tan|-|| 6*|1 + tan |-||*|\/ 3 + tan|-||*tan|-|| / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ / ___ /x\ \ 2 2 | \/ 3 + tan|-| | | 1 + tan |-| |1 + tan |-||*|\/ 3 + tan|-|| |\/ 3 + tan|-||*tan|-| | 2 | 1 + tan |-| |1 + tan |-||*|\/ 3 + tan|-|| |\/ 3 + tan|-||*tan|-| | / ___ /x\ \ / ___ /x\ \ / ___ /x\ \
2 ______________________________ | \/ 3 + tan|-| | 2 | \/ 3 + tan|-| | 2 2 2 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | 3 ______________________________ | \/ 3 + tan|-| | ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ \ \2// \ \2// \ \2// \2/ /x\| ___ / 2/x\ ___ /x\ / 2/x\\ / ___ /x\\ | \2/ \ \2// \ \2// \ \2// \2/ /x\| 2 | \/ 3 + tan|-| | ___ / 2/x\\ / ___ /x\\ / 2/x\ ___ /x\ | \2/ \ \2// \ \2// \ \2// \2/ /x\| ___ / 2/x\\ / 2/x\ ___ /x\ / ___ /x\\ | \2/ \ \2// \ \2// \ \2// \2/ /x\| 3 | \/ 3 + tan|-| | 3 ______________________________ | \/ 3 + tan|-| | 3 | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | 3 | \/ 3 + tan|-| | 3 3/2 3 2 ______________________________ | \/ 3 + tan|-| | 3 ______________________________ | \/ 3 + tan|-| | ___ / 2/x\ ___ /x\ / 2/x\\ / ___ /x\\ | 2/x\ \ \2// \ \2// \ \2// \ \2// \2/ \ \2// \ \2// \2/ \ \2// \ \2// \ \2// \2/| 3 | \/ 3 + tan|-| | 2 3 | \/ 3 + tan|-| | 2 3 | \/ 3 + tan|-| | 3 3 3 ______________________________ | \/ 3 + tan|-| | 2 | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | 3 2 | \/ 3 + tan|-| | ___ / 2/x\\ / ___ /x\\ | \2/ | / 2/x\ ___ /x\\ | \2/ \ \2// \ \2// \ \2// \2/ /x\| ___ / 2/x\\ / ___ /x\\ / ___ /x\\ | \2/ \ \2// \ \2// \ \2// \2/ /x\| 2 ______________________________ | \/ 3 + tan|-| | 3 2 | \/ 3 + tan|-| | 3 | \/ 3 + tan|-| |
___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | ___ / 2/x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ ___ / 2/x\\ / ___ /x\\ / 2/x\ ___ /x\ | \2/ | ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | 4*x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|- ---------------- + ------------------------------ - ----------------------- + tan|-|| 12*\/ 3 * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 + tan |-||*|\/ 3 + tan|-||*|- ---------------- + ------------------------------ - ----------------------- + tan|-|| ___ / 2/x\\ | \2/ | / ___ /x\\ / ___ /x\\ 4*x*\/ 3 *|1 + tan |-|| *|\/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|- ---------------- + ------------------------------ - ----------------------- + tan|-|| 4*x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|\/ 3 + tan|-||*|- ---------------- + ------------------------------ - ----------------------- + tan|-|| ___ / 2/x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ ___ / 2/x\\ | \2/ | / ___ /x\\ ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | /x\ ___ / 2/x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ ___ / 2/x\\ / ___ /x\\ / 2/x\ ___ /x\ | \2/ | ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ 2*x*\/ 3 * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 + tan |-||*|\/ 3 + tan|-||*|1 + 3*tan |-| + ------------------- - ------------------------------ - ---------------------- - --------------------------------- - -------------------------- + ---------------------------------------| ___ / 2/x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ ___ / 2/x\\ | \2/ | / ___ /x\\ / ___ /x\\ ___ / 2/x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ ___ / 2/x\\ / ___ /x\\ / 2/x\ ___ /x\ | \2/ | ___ / 2/x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ ___ / 2/x\\ / ___ /x\\ | \2/ | / ___ /x\\ 6*x*\/ 3 *|1 + tan |-|| *|\/ 3 + tan|-|| *|1 - ----------------|*|3 + tan |-| - 2*\/ 3 *tan|-||*|- ---------------- + ------------------------------ - ----------------------- + tan|-|| 4*x*\/ 3 *|1 + tan |-|| *|\/ 3 - tan|-||*|\/ 3 + tan|-||*|- ---------------- + ------------------------------ - ----------------------- + tan|-|| ___ / 2/x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ /x\ ___ / 2/x\\ / ___ /x\\ | \2/ | / ___ /x\\ ___ / 2/x\\ | \2/ | / ___ /x\\ / ___ /x\\
6*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------| 6*\/ 3 *|1 + tan |-|| *|1 - ----------------| *|\/ 3 + tan|-|| *|3 + tan |-| - 2*\/ 3 *tan|-|| 6*\/ 3 *|1 + tan |-|| *|\/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------| 6*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------|*|\/ 3 + tan|-|| 2*x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------| \ \2// \/ \2/ \2/ | ___ /x\ 2 ___ /x\ \2/| \/ \2/ \2/ \ \2// \ \2// | ___ /x\ 2 ___ /x\ \2/| 6*\/ 3 *|1 + tan |-|| *|1 - ----------------|*|\/ 3 - tan|-||*|\/ 3 + tan|-|| \ \2// \ \2// \/ \2/ \2/ | ___ /x\ 2 ___ /x\ \2/| \ \2// \/ \2/ \2/ \ \2// | ___ /x\ 2 ___ /x\ \2/| 3*x*\/ 3 *|1 + tan |-|| *|1 - ----------------| *|\/ 3 + tan|-||*|3 + tan |-| - 2*\/ 3 *tan|-|| 2*x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------|*|\/ 3 + tan|-|| 2*x*\/ 3 *|1 + tan |-|| *|1 - ----------------|*|\/ 3 - tan|-|| 2*x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------|*tan|-| 2*x*\/ 3 *|1 + tan |-|| *|1 - ----------------| *|\/ 3 + tan|-|| *|3 + tan |-| - 2*\/ 3 *tan|-|| 2*x*\/ 3 *|1 + tan |-|| *|\/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------| 2*x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------|*|\/ 3 + tan|-|| \/ \2/ \2/ \ \2// \ \2// | \2/ 2 ___ /x\ ___ /x\ 3 ___ /x\ 2 | 3*x*\/ 3 *|1 + tan |-|| *|1 - ----------------| *|\/ 3 + tan|-|| *|3 + tan |-| - 2*\/ 3 *tan|-|| 3*x*\/ 3 *|1 + tan |-|| *|1 - ----------------| *|\/ 3 + tan|-|| *|\/ 3 - tan|-|| 3*x*\/ 3 *|1 + tan |-|| *|1 - ----------------| *|\/ 3 + tan|-|| *|3 + tan |-| - 2*\/ 3 *tan|-|| 3*x*\/ 3 *|1 + tan |-|| *|\/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------| x*\/ 3 *|1 + tan |-|| *|1 - ----------------|*|\/ 3 + tan|-||*|1 + 3*tan |-| - 2*\/ 3 *tan|-|| x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------|*|\/ 3 + tan|-||*|1 + 3*tan |-| + 2*\/ 3 *tan|-|| x*\/ 3 *|1 + tan |-|| *|\/ 3 - tan|-|| *|1 - ----------------|*|\/ 3 + tan|-|| \ \2// \ \2// | ___ /x\| \ \2/ \2// | ___ /x\ 2 ___ /x\ \2/| \ \2// \ \2// \ \2// | ___ /x\ 2 ___ /x\ \2/| 2*x*\/ 3 *|1 + tan |-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|1 - ----------------|*|\/ 3 + tan|-||*tan|-| 2*x*\/ 3 *|1 + tan |-|| *|\/ 3 + tan|-|| *|1 - ----------------|*|\/ 3 - tan|-|| 2*x*\/ 3 *|1 + tan |-|| *|1 - ----------------|*|\/ 3 - tan|-||*|\/ 3 + tan|-||
/ /x\\ / /x\\ \ \2// \/ \2/ \2/ | ___ /x\| \ \2// | ___ /x\| \ \2// \ \2/ \2// \ \2// \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \ \2// \/ \2/ \2/ | ___ /x\| | - \/ 3 + tan|-| / ___ /x\\ - \/ 3 + tan|-| | | - \/ 3 + tan|-| / ___ /x\\ - \/ 3 + tan|-| | \ \2// | ___ /x\| \ \2// \ \2// | - \/ 3 + tan|-| / ___ /x\\ - \/ 3 + tan|-| | | - \/ 3 + tan|-| / ___ /x\\ - \/ 3 + tan|-| | \ \2// | ___ /x\| \ \2// \ \2/ \2// \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \ \2// | ___ /x\| \ \2// \ \2// \/ \2/ \2/ | ___ /x\| \2/ \ \2// | ___ /x\| \ \2// \ \2/ \2// \ \2// \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// | / ___ /x\\ - \/ 3 + tan|-| - \/ 3 + tan|-| / ___ /x\\ - \/ 3 + tan|-| / ___ /x\\ | \ \2// | ___ /x\| \ \2// \ \2/ \2// \ \2// | ___ /x\| \ \2// \ \2// \ \2// | ___ /x\| \ \2// \ \2/ \2// \ \2// \ \2// \/ \2/ \2/ | ___ /x\| \ \2// | ___ /x\| \ \2// \ \2/ \2// \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \ \2/ \2// \ \2// \ \2// | ___ /x\| \ \2// | - \/ 3 + tan|-|| | - \/ 3 + tan|-| / ___ /x\\ - \/ 3 + tan|-| | | - \/ 3 + tan|-| / ___ /x\\ - \/ 3 + tan|-| | \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \2/ \ \2// \ \2// | ___ /x\| \ \2// \ \2// | ___ /x\| \ \2// \ \2//
atan|tan|-|| atan|tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | \2/ |- \/ 3 + tan|-|| \2/ | | \2/ |- \/ 3 + tan|-|| \2/ | | - \/ 3 + tan|-|| | \2/ |- \/ 3 + tan|-|| \2/ | | \2/ |- \/ 3 + tan|-|| \2/ | | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | |- \/ 3 + tan|-|| \2/ \2/ |- \/ 3 + tan|-|| \2/ |- \/ 3 + tan|-|| | | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| \ \2// | \2/ |- \/ 3 + tan|-|| \2/ | | \2/ |- \/ 3 + tan|-|| \2/ | | - \/ 3 + tan|-|| | - \/ 3 + tan|-|| | - \/ 3 + tan|-||
\ \2// \ \2// \ \2// \ \2// \ \2// \ \2// \ \2// \ \ \2// / \ \ \2// / \ \2// \ \ \2// / \ \ \2// / \ \2// \ \2// \ \2// \ \2// \ \2// \ \2// \ \2// \ \ \2// \ \2// \ \2// / \ \2// \ \2// \ \2// \ \2// \ \2// \ \2// \ \2// \ \ \2// / \ \ \2// / \ \2// \ \2// \ \2//
36*e + 6*x*e + -------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------
| ___ /x\ | 2 | ___ /x\ | | ___ /x\ | | ___ /x\ | | ___ /x\ | | ___ /x\ | | ___ /x\ | | ___ /x\ | | ___ /x\ | 2 | ___ /x\ | | ___ /x\ | | ___ /x\ | 3 | ___ /x\ | | ___ /x\ | | ___ /x\ | 2 2 2 | ___ /x\ | | ___ /x\ | | ___ /x\ | | ___ /x\ | 2 | ___ /x\ | | ___ /x\ | | ___ /x\ | | ___ /x\ |
2 ______________________________ | \/ 3 + tan|-| | | ___ /x\ | 2 3/2 | \/ 3 + tan|-| | 3 ______________________________ | \/ 3 + tan|-| | 3 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ ______________________________ | \/ 3 + tan|-| | 2 3/2 | \/ 3 + tan|-| | 3 ______________________________ | \/ 3 + tan|-| | | ___ /x\ | 2 3/2 | \/ 3 + tan|-| | 2 ______________________________ ______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | | ___ /x\ | 3 3/2 | \/ 3 + tan|-| | 4 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ | \/ 3 + tan|-| | | ___ /x\ | | ___ /x\ | | ___ /x\ | 2 5/2 | \/ 3 + tan|-| | 2 ______________________________ ______________________________ | \/ 3 + tan|-| | 2 3/2 | \/ 3 + tan|-| | 2 3/2 ______________________________ | \/ 3 + tan|-| | | ___ /x\ | 2 ______________________________ ______________________________ | \/ 3 + tan|-| | 3 ______________________________ | \/ 3 + tan|-| | 2 ______________________________ 3/2 | \/ 3 + tan|-| | 3 ______________________________ ______________________________ | \/ 3 + tan|-| |
/ ___ /x\\ / 2/x\ ___ /x\ | \2/ | 4 | \/ 3 + tan|-| | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | 4 | \/ 3 + tan|-| | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | 6 3/2 | \/ 3 + tan|-| | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | 5 | \/ 3 + tan|-| | 4 | \/ 3 + tan|-| | 4 2 | \/ 3 + tan|-| | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ / 2/x\ ___ /x\ | \2/ | 4 | \/ 3 + tan|-| | / ___ /x\\ / 2/x\ ___ /x\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\ / 2/x\ ___ /x\ | \2/ |
|- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| |- \/ 3 + tan|-|| *|3 + tan |-| - 2*\/ 3 *tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| / ___ /x\\ / 2/x\ ___ /x\\ | \2/ | |- \/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| |- \/ 3 + tan|-|| * / 3 + tan |-| - 2*\/ 3 *tan|-| * / 3 + tan |-| + 2*\/ 3 *tan|-| *|----------------|
\ \2// \/ \2/ \2/ | ___ /x\| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-||*|----------------| \ \2// \ \2/ \2// | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ \/ \2/ \2/ | ___ /x\| \ \2// \ \2/ \2// | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-||*|----------------| \ \2// \ \2/ \2// | ___ /x\| \ \2// \/ \2/ \2/ \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| \ \2// \ \2/ \2// | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-||*|----------------| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-||*|----------------| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-|| *|----------------| \ \2// \ \2/ \2// | ___ /x\| \ \2// \/ \2/ \2/ \/ \2/ \2/ | ___ /x\| \ \2// \ \2/ \2// | ___ /x\| \ \2// \ \2/ \2// \/ \2/ \2/ | ___ /x\| |- \/ 3 + tan|-|| *|3 + tan |-| + 2*\/ 3 *tan|-||*|----------------| \ \2// \/ \2/ \2/ \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ | ___ /x\| \ \2// \/ \2/ \2/ \ \2/ \2// | ___ /x\| \ \2// \/ \2/ \2/ \/ \2/ \2/ | ___ /x\|
|- \/ 3 + tan|-|| \ \2// \ \2/ \2// | ___ /x\| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| \ \2// \ \2/ \2// | ___ /x\| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| \ \2// \ \2/ \2// | ___ /x\| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| \ \2// \ \2/ \2// | ___ /x\| \ \2// \ \2/ \2// | ___ /x\| \ \2// \ \2/ \2// | ___ /x\| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| \ \2// \ \2/ \2// | ___ /x\| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-||
| \2/| |- \/ 3 + tan|-|| | \2/| | \2/| | \2/| | \2/| | \2/| | \2/| | \2/| | \2/| |- \/ 3 + tan|-|| | \2/| | \2/| | \2/| |- \/ 3 + tan|-|| | \2/| | \2/| | \2/| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| |- \/ 3 + tan|-|| | \2/| | \2/| | \2/| | \2/| |- \/ 3 + tan|-|| | \2/| | \2/| | \2/| | \2/|
| \2/| | \2/| | \2/| | \2/| | \2/| | \2/| | \2/|
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
48
$$\frac{\frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right)^{3} \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{3} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{6} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|^{3}} + \frac{3 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right)^{2} \left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{4} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right) \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|^{2}} + \frac{3 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right)^{2} \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{3} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{4} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{2} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|^{2}} - \frac{3 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right)^{2} \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{4} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right) \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|^{2}} + \frac{3 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right)^{2} \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{5} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right) \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|^{2}} - \frac{\sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{3 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{3} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{5}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{\sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left(3 \tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{\sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \left(3 \tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \tan{\left(\frac{x}{2} \right)}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{3} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \tan{\left(\frac{x}{2} \right)}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{6 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right) \left(\tan{\left(\frac{x}{2} \right)} - \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}}\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{4} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right) \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|^{2}} + \frac{2 \sqrt{3} x \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{4} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{4 \sqrt{3} x \left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \left(\tan{\left(\frac{x}{2} \right)} - \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}}\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + 6 x e^{\operatorname{atan}{\left(\tan{\left(\frac{x}{2} \right)} \right)}} - \frac{4 \sqrt{3} x \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left(\tan{\left(\frac{x}{2} \right)} - \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}}\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{2 \sqrt{3} x \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left(3 \tan^{2}{\left(\frac{x}{2} \right)} + 1 - \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{2 \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \tan^{2}{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{6 \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{6 \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \tan{\left(\frac{x}{2} \right)}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}} + \frac{3 \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}} - \frac{3 \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{3}}\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{4 \sqrt{3} x \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left(\tan{\left(\frac{x}{2} \right)} - \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}}\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{4 \sqrt{3} x \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left(\tan{\left(\frac{x}{2} \right)} - \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}}\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{6 \sqrt{3} \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right)^{2} \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{4} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right) \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|^{2}} - \frac{6 \sqrt{3} \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{6 \sqrt{3} \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3\right)^{\frac{3}{2}} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + \frac{6 \sqrt{3} \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} - \frac{6 \sqrt{3} \left(1 - \frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}\right) \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3}}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{3} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|} + 36 e^{\operatorname{atan}{\left(\tan{\left(\frac{x}{2} \right)} \right)}} + \frac{12 \sqrt{3} \left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left(\tan{\left(\frac{x}{2} \right)} - \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \tan{\left(\frac{x}{2} \right)}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} - \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}} + \frac{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3}\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2}}\right)}{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3}\right)^{2} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 2 \sqrt{3} \tan{\left(\frac{x}{2} \right)} + 3} \left|{\frac{\tan{\left(\frac{x}{2} \right)} + \sqrt{3}}{\tan{\left(\frac{x}{2} \right)} - \sqrt{3}}}\right|}}{48}$$