Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)
¿Cómo vas a descomponer esta sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x) expresión en fracciones?
Solución
Ha introducido
[src]
__________ / 2 \
/ cot(x) |-1 - cot (x) 5*cot(x) |
/ -------- *(11 - 5*x)*|------------ + -------------|
\/ 11 - 5*x |2*(11 - 5*x) 2|
\ 2*(11 - 5*x) /
--------------------------------------------------------
cot(x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}} + \frac{- \cot^{2}{\left(x \right)} - 1}{2 \left(11 - 5 x\right)}\right)}{\cot{\left(x \right)}}$$
((sqrt(cot(x)/(11 - 5*x))*(11 - 5*x))*((-1 - cot(x)^2)/((2*(11 - 5*x))) + (5*cot(x))/((2*(11 - 5*x)^2))))/cot(x)
Simplificación general
[src]
____________________
/ -1 / 22 10*x \
/ ------------------ *|-5 + -------- - --------|
\/ (-11 + 5*x)*tan(x) \ sin(2*x) sin(2*x)/
---------------------------------------------------
2*(-11 + 5*x)
$$\frac{\sqrt{- \frac{1}{\left(5 x - 11\right) \tan{\left(x \right)}}} \left(- \frac{10 x}{\sin{\left(2 x \right)}} - 5 + \frac{22}{\sin{\left(2 x \right)}}\right)}{2 \left(5 x - 11\right)}$$
sqrt(-1/((-11 + 5*x)*tan(x)))*(-5 + 22/sin(2*x) - 10*x/sin(2*x))/(2*(-11 + 5*x))
Respuesta numérica
[src]
(cot(x)/(11.0 - 5.0*x))^0.5*(11.0 - 5.0*x)*((-1.0 - cot(x)^2)/(22.0 - 10.0*x) + 0.0206611570247934*cot(x)/(1 - 0.454545454545455*x)^2)/cot(x)
(cot(x)/(11.0 - 5.0*x))^0.5*(11.0 - 5.0*x)*((-1.0 - cot(x)^2)/(22.0 - 10.0*x) + 0.0206611570247934*cot(x)/(1 - 0.454545454545455*x)^2)/cot(x)
Combinatoria
[src]
__________
/ cot(x) / 2 2 \
- / -------- *\-11 - 11*cot (x) + 5*x + 5*cot(x) + 5*x*cot (x)/
\/ 11 - 5*x
------------------------------------------------------------------
2*(-11 + 5*x)*cot(x)
$$- \frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(5 x \cot^{2}{\left(x \right)} + 5 x - 11 \cot^{2}{\left(x \right)} + 5 \cot{\left(x \right)} - 11\right)}{2 \left(5 x - 11\right) \cot{\left(x \right)}}$$
-sqrt(cot(x)/(11 - 5*x))*(-11 - 11*cot(x)^2 + 5*x + 5*cot(x) + 5*x*cot(x)^2)/(2*(-11 + 5*x)*cot(x))
Denominador común
[src]
__________ __________ __________ __________
/ cot(x) / cot(x) / cot(x) / cot(x)
- 11* / -------- + 5*x* / -------- + 5* / -------- *cot(x) / -------- *cot(x)
\/ 11 - 5*x \/ 11 - 5*x \/ 11 - 5*x \/ 11 - 5*x
- ------------------------------------------------------------------ - ---------------------
-22*cot(x) + 10*x*cot(x) 2
$$- \frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \cot{\left(x \right)}}{2} - \frac{5 x \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} + 5 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \cot{\left(x \right)} - 11 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}}}{10 x \cot{\left(x \right)} - 22 \cot{\left(x \right)}}$$
-(-11*sqrt(cot(x)/(11 - 5*x)) + 5*x*sqrt(cot(x)/(11 - 5*x)) + 5*sqrt(cot(x)/(11 - 5*x))*cot(x))/(-22*cot(x) + 10*x*cot(x)) - sqrt(cot(x)/(11 - 5*x))*cot(x)/2
Potencias
[src]
__________ / 2 \
/ cot(x) |-1 - cot (x) 5*cot(x) |
/ -------- *(11 - 5*x)*|------------ + -------------|
\/ 11 - 5*x | 22 - 10*x 2|
\ 2*(11 - 5*x) /
--------------------------------------------------------
cot(x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{- \cot^{2}{\left(x \right)} - 1}{22 - 10 x} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}$$
sqrt(cot(x)/(11 - 5*x))*(11 - 5*x)*((-1 - cot(x)^2)/(22 - 10*x) + 5*cot(x)/(2*(11 - 5*x)^2))/cot(x)
Denominador racional
[src]
__________
/ cot(x) / 2 / 2 \ \
/ -------- *\2*(11 - 5*x) *\-1 - cot (x)/ + 5*(22 - 10*x)*cot(x)/
\/ 11 - 5*x
--------------------------------------------------------------------
2*(11 - 5*x)*(22 - 10*x)*cot(x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(2 \left(11 - 5 x\right)^{2} \left(- \cot^{2}{\left(x \right)} - 1\right) + 5 \left(22 - 10 x\right) \cot{\left(x \right)}\right)}{2 \left(11 - 5 x\right) \left(22 - 10 x\right) \cot{\left(x \right)}}$$
sqrt(cot(x)/(11 - 5*x))*(2*(11 - 5*x)^2*(-1 - cot(x)^2) + 5*(22 - 10*x)*cot(x))/(2*(11 - 5*x)*(22 - 10*x)*cot(x))
Unión de expresiones racionales
[src]
__________
/ cot(x) / / 2 \ \
/ -------- *\5*cot(x) + \-1 - cot (x)/*(11 - 5*x)/
\/ 11 - 5*x
-----------------------------------------------------
2*(11 - 5*x)*cot(x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(\left(11 - 5 x\right) \left(- \cot^{2}{\left(x \right)} - 1\right) + 5 \cot{\left(x \right)}\right)}{2 \left(11 - 5 x\right) \cot{\left(x \right)}}$$
sqrt(cot(x)/(11 - 5*x))*(5*cot(x) + (-1 - cot(x)^2)*(11 - 5*x))/(2*(11 - 5*x)*cot(x))
Parte trigonométrica
[src]
__________ / / 2 \ / 2 \\
/ cot(x) |5 11*\1 + cot (x)/ 5*x*\1 + cot (x)/|
/ -------- *(11 - 5*x)*|- - ---------------- + -----------------|
\/ 11 - 5*x \2 2*cot(x) 2*cot(x) /
--------------------------------------------------------------------
2
(-11 + 5*x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 x \left(\cot^{2}{\left(x \right)} + 1\right)}{2 \cot{\left(x \right)}} - \frac{11 \left(\cot^{2}{\left(x \right)} + 1\right)}{2 \cot{\left(x \right)}} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}$$
/ 2 \
| / 2/x\\ |
___________________ | |1 + tan |-|| |
/ 1 2/x\ / 2 \ | 5 \ \2// |
2* / ----------------- *tan |-|*\1 + tan (x)/*(22 - 10*x)*|-------------------- - ---------------------|
\/ (11 - 5*x)*tan(x) \2/ | 2 2/x\|
|2*(11 - 5*x) *tan(x) 4*(22 - 10*x)*tan |-||
\ \2//
----------------------------------------------------------------------------------------------------------
2
/ 2/x\\
|1 + tan |-|| *tan(x)
\ \2//
$$\frac{2 \sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{4 \left(22 - 10 x\right) \tan^{2}{\left(\frac{x}{2} \right)}} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(\frac{x}{2} \right)}}{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \tan{\left(x \right)}}$$
________________________
/ csc(x) / /pi \ /pi \\
/ ---------------------- *(11 - 5*x)*|5 - 11*csc(x)*csc|-- - x| + 5*x*csc(x)*csc|-- - x||
/ /pi \ \ \2 / \2 //
/ (11 - 5*x)*csc|-- - x|
\/ \2 /
----------------------------------------------------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(5 x \csc{\left(x \right)} \csc{\left(- x + \frac{\pi}{2} \right)} - 11 \csc{\left(x \right)} \csc{\left(- x + \frac{\pi}{2} \right)} + 5\right)}{2 \left(5 x - 11\right)^{2}}$$
/ 2 \
| cos (x) |
|-1 - ------------ |
| 2/ pi\ |
________________________ | cos |x - --| |
/ cos(x) | \ 2 / 5*cos(x) | / pi\
/ ---------------------- *(11 - 5*x)*|----------------- + -------------------------|*cos|x - --|
/ / pi\ | 22 - 10*x 2 / pi\| \ 2 /
/ (11 - 5*x)*cos|x - --| | 2*(11 - 5*x) *cos|x - --||
\/ \ 2 / \ \ 2 //
-----------------------------------------------------------------------------------------------------
cos(x)
$$\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(\frac{- \frac{\cos^{2}{\left(x \right)}}{\cos^{2}{\left(x - \frac{\pi}{2} \right)}} - 1}{22 - 10 x} + \frac{5 \cos{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \cos{\left(x - \frac{\pi}{2} \right)}}\right) \cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}}$$
___________________ / 2 \
/ 1 2 | csc (x) 5 |
/ ----------------- *sin (x)*(22 - 10*x)*|- --------- + --------------------|*csc(2*x)
\/ (11 - 5*x)*tan(x) | 22 - 10*x 2 |
\ 2*(11 - 5*x) *tan(x)/
$$\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{\csc^{2}{\left(x \right)}}{22 - 10 x} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \sin^{2}{\left(x \right)} \csc{\left(2 x \right)}$$
___________________ / / 2 \ / 2 \\
/ 1 |5 11*\1 + tan (x)/ 5*x*\1 + tan (x)/|
/ ----------------- *(11 - 5*x)*|- - ---------------- + -----------------|
\/ (11 - 5*x)*tan(x) \2 2*tan(x) 2*tan(x) /
-----------------------------------------------------------------------------
2
(-11 + 5*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x \left(\tan^{2}{\left(x \right)} + 1\right)}{2 \tan{\left(x \right)}} - \frac{11 \left(\tan^{2}{\left(x \right)} + 1\right)}{2 \tan{\left(x \right)}} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}$$
/ 2 \
| / 2/x\\ |
__________ | |1 + cot |-|| |
/ cot(x) | 5*cot(x) \ \2// |
/ -------- *(11 - 5*x)*|------------- - ---------------------|
\/ 11 - 5*x | 2 2/x\|
|2*(11 - 5*x) 4*(22 - 10*x)*cot |-||
\ \2//
-----------------------------------------------------------------
cot(x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(- \frac{\left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{4 \left(22 - 10 x\right) \cot^{2}{\left(\frac{x}{2} \right)}} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}$$
/ 1 \
|-1 - ------- |
___________________ | 2 |
/ 1 | tan (x) 5 |
/ ----------------- *(11 - 5*x)*|------------ + --------------------|*tan(x)
\/ (11 - 5*x)*tan(x) | 22 - 10*x 2 |
\ 2*(11 - 5*x) *tan(x)/
$$\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{-1 - \frac{1}{\tan^{2}{\left(x \right)}}}{22 - 10 x} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \tan{\left(x \right)}$$
___________________
/ / pi\ / 2/ pi\ / pi\ \
/ sec|x - --| | sec |x - --| 5*sec|x - --| |
/ \ 2 / | \ 2 / \ 2 / | / pi\
/ ----------------- *(22 - 10*x)*|- ------------ + --------------------|*sec|2*x - --|
\/ (11 - 5*x)*sec(x) | 22 - 10*x 2 | \ 2 /
\ 2*(11 - 5*x) *sec(x)/
-------------------------------------------------------------------------------------------
2/ pi\
sec |x - --|
\ 2 /
$$\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{\sec^{2}{\left(x - \frac{\pi}{2} \right)}}{22 - 10 x} + \frac{5 \sec{\left(x - \frac{\pi}{2} \right)}}{2 \left(11 - 5 x\right)^{2} \sec{\left(x \right)}}\right) \sec{\left(2 x - \frac{\pi}{2} \right)}}{\sec^{2}{\left(x - \frac{\pi}{2} \right)}}$$
___________________
/ / pi\
/ sec|x - --|
/ \ 2 / / / pi\ / pi\\
/ ----------------- *(11 - 5*x)*|5 - 11*sec(x)*sec|x - --| + 5*x*sec(x)*sec|x - --||
\/ (11 - 5*x)*sec(x) \ \ 2 / \ 2 //
-----------------------------------------------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(5 x \sec{\left(x \right)} \sec{\left(x - \frac{\pi}{2} \right)} - 11 \sec{\left(x \right)} \sec{\left(x - \frac{\pi}{2} \right)} + 5\right)}{2 \left(5 x - 11\right)^{2}}$$
________________________
/ cos(x) /5 11 5*x \
/ ---------------------- *(11 - 5*x)*|- - ------------- + -------------|
/ / pi\ |2 / pi\ / pi\|
/ (11 - 5*x)*cos|x - --| | cos|2*x - --| cos|2*x - --||
\/ \ 2 / \ \ 2 / \ 2 //
-----------------------------------------------------------------------------
2
(-11 + 5*x)
$$\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\cos{\left(2 x - \frac{\pi}{2} \right)}} + \frac{5}{2} - \frac{11}{\cos{\left(2 x - \frac{\pi}{2} \right)}}\right)}{\left(5 x - 11\right)^{2}}$$
__________
/ cot(x) / 2 5*cot(x) \
/ -------- *(11 - 5*x)*|- -------------------------- + -------------|*tan(x)
\/ 11 - 5*x | (1 - cos(2*x))*(22 - 10*x) 2|
\ 2*(11 - 5*x) /
$$\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}} - \frac{2}{\left(1 - \cos{\left(2 x \right)}\right) \left(22 - 10 x\right)}\right) \tan{\left(x \right)}$$
___________________
/ 1 / 11 5*x \
/ ----------------- *(11 - 5*x)*|5 - ------------- + -------------|
\/ (11 - 5*x)*tan(x) \ cos(x)*sin(x) cos(x)*sin(x)/
----------------------------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(x \right)} \cos{\left(x \right)}} + 5 - \frac{11}{\sin{\left(x \right)} \cos{\left(x \right)}}\right)}{2 \left(5 x - 11\right)^{2}}$$
/ 2 2 \
| / 2/x\\ / 2/x\\ |
__________ | 11*|1 + cot |-|| 5*x*|1 + cot |-|| |
/ cot(x) | \ \2// \ \2// |
/ -------- *(11 - 5*x)*|5 - ----------------------- + -----------------------|
\/ 11 - 5*x | / 2/x\\ /x\ / 2/x\\ /x\|
| 2*|-1 + cot |-||*cot|-| 2*|-1 + cot |-||*cot|-||
\ \ \2// \2/ \ \2// \2//
---------------------------------------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 x \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{2 \left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right) \cot{\left(\frac{x}{2} \right)}} + 5 - \frac{11 \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{2 \left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right) \cot{\left(\frac{x}{2} \right)}}\right)}{2 \left(5 x - 11\right)^{2}}$$
/ 2 2 \
| / 2/x\\ / 2/x\\ |
___________________ | 11*|1 + tan |-|| 5*x*|1 + tan |-|| |
/ 1 | \ \2// \ \2// |
/ ----------------- *(11 - 5*x)*|5 - ---------------------- + ----------------------|
\/ (11 - 5*x)*tan(x) | / 2/x\\ /x\ / 2/x\\ /x\|
| 2*|1 - tan |-||*tan|-| 2*|1 - tan |-||*tan|-||
\ \ \2// \2/ \ \2// \2//
----------------------------------------------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{2 \left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right) \tan{\left(\frac{x}{2} \right)}} + 5 - \frac{11 \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{2 \left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right) \tan{\left(\frac{x}{2} \right)}}\right)}{2 \left(5 x - 11\right)^{2}}$$
________________________ / 2 \
/ csc(x) | csc (x) 5*csc(x) |
/ ---------------------- *(22 - 10*x)*|- --------- + -------------------------|*csc(2*x)
/ /pi \ | 22 - 10*x 2 /pi \|
/ (11 - 5*x)*csc|-- - x| | 2*(11 - 5*x) *csc|-- - x||
\/ \2 / \ \2 //
---------------------------------------------------------------------------------------------
2
csc (x)
$$\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(22 - 10 x\right) \left(- \frac{\csc^{2}{\left(x \right)}}{22 - 10 x} + \frac{5 \csc{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(2 x \right)}}{\csc^{2}{\left(x \right)}}$$
________________________
/ cos(x) / 1 5*cos(x) \ / pi\
/ ---------------------- *(11 - 5*x)*|- ------------------------ + -------------------------|*cos|x - --|
/ / pi\ | 2/ pi\ 2 / pi\| \ 2 /
/ (11 - 5*x)*cos|x - --| | (22 - 10*x)*cos |x - --| 2*(11 - 5*x) *cos|x - --||
\/ \ 2 / \ \ 2 / \ 2 //
--------------------------------------------------------------------------------------------------------------
cos(x)
$$\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \cos^{2}{\left(x - \frac{\pi}{2} \right)}} + \frac{5 \cos{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \cos{\left(x - \frac{\pi}{2} \right)}}\right) \cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}}$$
___________________
/ / pi\ / 2/ pi\ / pi\ \
/ sec|x - --| | sec |x - --| 5*sec|x - --| |
/ \ 2 / | \ 2 / \ 2 / |
/ ----------------- *(11 - 5*x)*|- ------------ + --------------------|*sec(x)
\/ (11 - 5*x)*sec(x) | 22 - 10*x 2 |
\ 2*(11 - 5*x) *sec(x)/
-----------------------------------------------------------------------------------
/ pi\
sec|x - --|
\ 2 /
$$\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(- \frac{\sec^{2}{\left(x - \frac{\pi}{2} \right)}}{22 - 10 x} + \frac{5 \sec{\left(x - \frac{\pi}{2} \right)}}{2 \left(11 - 5 x\right)^{2} \sec{\left(x \right)}}\right) \sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}}$$
/ 2/ pi\ \
| sec |x - --| |
___________________ | \ 2 / |
/ / pi\ |-1 - ------------ / pi\ |
/ sec|x - --| | 2 5*sec|x - --| |
/ \ 2 / | sec (x) \ 2 / |
/ ----------------- *(11 - 5*x)*|----------------- + --------------------|*sec(x)
\/ (11 - 5*x)*sec(x) | 22 - 10*x 2 |
\ 2*(11 - 5*x) *sec(x)/
--------------------------------------------------------------------------------------
/ pi\
sec|x - --|
\ 2 /
$$\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{-1 - \frac{\sec^{2}{\left(x - \frac{\pi}{2} \right)}}{\sec^{2}{\left(x \right)}}}{22 - 10 x} + \frac{5 \sec{\left(x - \frac{\pi}{2} \right)}}{2 \left(11 - 5 x\right)^{2} \sec{\left(x \right)}}\right) \sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}}$$
___________________
/ 1 / 2 5 \
/ ----------------- *(11 - 5*x)*|- -------------------------- + --------------------|*tan(x)
\/ (11 - 5*x)*tan(x) | (1 - cos(2*x))*(22 - 10*x) 2 |
\ 2*(11 - 5*x) *tan(x)/
$$\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}} - \frac{2}{\left(1 - \cos{\left(2 x \right)}\right) \left(22 - 10 x\right)}\right) \tan{\left(x \right)}$$
___________________
/ 1
/ ----------------- *(11 - 5*x)*(5/2 - 11*csc(2*x) + 5*x*csc(2*x))
\/ (11 - 5*x)*tan(x)
---------------------------------------------------------------------
2
(-11 + 5*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(5 x \csc{\left(2 x \right)} - 11 \csc{\left(2 x \right)} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}$$
___________________
/ 1 / 2 \
/ ----------------- *(44 - 20*x)*\10 - 11*tan(x) - 10*cos(x) - 5*(1 - cos(x)) + 5*x*tan(x)/
\/ (11 - 5*x)*tan(x)
-----------------------------------------------------------------------------------------------
2
4*(1 - cos(2*x))*(-11 + 5*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(44 - 20 x\right) \left(5 x \tan{\left(x \right)} - 5 \left(1 - \cos{\left(x \right)}\right)^{2} - 10 \cos{\left(x \right)} - 11 \tan{\left(x \right)} + 10\right)}{4 \left(1 - \cos{\left(2 x \right)}\right) \left(5 x - 11\right)^{2}}$$
________________________ / 2 \
/ csc(x) | csc (x) 5*csc(x) | /pi \
/ ---------------------- *(11 - 5*x)*|- --------- + -------------------------|*csc|-- - x|
/ /pi \ | 22 - 10*x 2 /pi \| \2 /
/ (11 - 5*x)*csc|-- - x| | 2*(11 - 5*x) *csc|-- - x||
\/ \2 / \ \2 //
-----------------------------------------------------------------------------------------------
csc(x)
$$\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(- \frac{\csc^{2}{\left(x \right)}}{22 - 10 x} + \frac{5 \csc{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}}$$
__________
/ cot(x) / 22 10*x \
/ -------- *(11 - 5*x)*|5 - -------- + --------|
\/ 11 - 5*x \ sin(2*x) sin(2*x)/
---------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{10 x}{\sin{\left(2 x \right)}} + 5 - \frac{22}{\sin{\left(2 x \right)}}\right)}{2 \left(5 x - 11\right)^{2}}$$
/ 2 \
| sin (2*x) |
|-1 - --------- |
____________________ | 4 |
___ / sin(2*x) 2 | 4*sin (x) 5*sin(2*x) |
\/ 2 * / ------------------ *sin (x)*(11 - 5*x)*|-------------- + ---------------------|
/ 2 | 22 - 10*x 2 2 |
\/ (11 - 5*x)*sin (x) \ 4*(11 - 5*x) *sin (x)/
-------------------------------------------------------------------------------------------
sin(2*x)
$$\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{-1 - \frac{\sin^{2}{\left(2 x \right)}}{4 \sin^{4}{\left(x \right)}}}{22 - 10 x} + \frac{5 \sin{\left(2 x \right)}}{4 \left(11 - 5 x\right)^{2} \sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}}$$
____________________
___ / sin(2*x) /5 11 5*x \
\/ 2 * / ------------------ *(11 - 5*x)*|- - -------- + --------|
/ 2 \2 sin(2*x) sin(2*x)/
\/ (11 - 5*x)*sin (x)
--------------------------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(2 x \right)}} + \frac{5}{2} - \frac{11}{\sin{\left(2 x \right)}}\right)}{2 \left(5 x - 11\right)^{2}}$$
___________________
/ 1 / 22 10*x \
/ ----------------- *(11 - 5*x)*|5 - -------- + --------|
\/ (11 - 5*x)*tan(x) \ sin(2*x) sin(2*x)/
------------------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{10 x}{\sin{\left(2 x \right)}} + 5 - \frac{22}{\sin{\left(2 x \right)}}\right)}{2 \left(5 x - 11\right)^{2}}$$
___________________ / 2 2\
/ 1 | 10 10*cos (x) 5*(1 - cos(x)) |
/ ----------------- *(44 - 20*x)*|-11 + 5*x + ------ - ---------- - ---------------|
\/ (11 - 5*x)*tan(x) \ tan(x) sin(x) tan(x) /
---------------------------------------------------------------------------------------
2
4*(-11 + 5*x) *sin(2*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(44 - 20 x\right) \left(5 x - \frac{5 \left(1 - \cos{\left(x \right)}\right)^{2}}{\tan{\left(x \right)}} - 11 + \frac{10}{\tan{\left(x \right)}} - \frac{10 \cos^{2}{\left(x \right)}}{\sin{\left(x \right)}}\right)}{4 \left(5 x - 11\right)^{2} \sin{\left(2 x \right)}}$$
___________________
/ / pi\
/ sec|x - --|
/ \ 2 / /5 / pi\ / pi\\
/ ----------------- *(11 - 5*x)*|- - 11*sec|2*x - --| + 5*x*sec|2*x - --||
\/ (11 - 5*x)*sec(x) \2 \ 2 / \ 2 //
-------------------------------------------------------------------------------
2
(-11 + 5*x)
$$\frac{\sqrt{\frac{\sec{\left(x - \frac{\pi}{2} \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(5 x \sec{\left(2 x - \frac{\pi}{2} \right)} - 11 \sec{\left(2 x - \frac{\pi}{2} \right)} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}$$
____________________
___ / sin(2*x) 2 / 1 5*sin(2*x) \
\/ 2 * / ------------------ *sin (x)*(11 - 5*x)*|- ------------------- + ---------------------|
/ 2 | 2 2 2 |
\/ (11 - 5*x)*sin (x) \ (22 - 10*x)*sin (x) 4*(11 - 5*x) *sin (x)/
--------------------------------------------------------------------------------------------------
sin(2*x)
$$\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(11 - 5 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \sin^{2}{\left(x \right)}} + \frac{5 \sin{\left(2 x \right)}}{4 \left(11 - 5 x\right)^{2} \sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}}$$
________________________
/ cos(x) 2/ pi\ / 1 5*cos(x) \
/ ---------------------- *cos |x - --|*(22 - 10*x)*|- ------------------------ + -------------------------|
/ / pi\ \ 2 / | 2/ pi\ 2 / pi\|
/ (11 - 5*x)*cos|x - --| | (22 - 10*x)*cos |x - --| 2*(11 - 5*x) *cos|x - --||
\/ \ 2 / \ \ 2 / \ 2 //
----------------------------------------------------------------------------------------------------------------
/ pi\
cos|2*x - --|
\ 2 /
$$\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(22 - 10 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \cos^{2}{\left(x - \frac{\pi}{2} \right)}} + \frac{5 \cos{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \cos{\left(x - \frac{\pi}{2} \right)}}\right) \cos^{2}{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(2 x - \frac{\pi}{2} \right)}}$$
/ 2 \
| cos (x) |
|-1 - ------- |
___________________ | 2 |
/ cos(x) | sin (x) 5*cos(x) |
/ ----------------- *(11 - 5*x)*|------------ + --------------------|*sin(x)
\/ (11 - 5*x)*sin(x) | 22 - 10*x 2 |
\ 2*(11 - 5*x) *sin(x)/
-------------------------------------------------------------------------------
cos(x)
$$\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \sin{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{-1 - \frac{\cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}}{22 - 10 x} + \frac{5 \cos{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \sin{\left(x \right)}}\right) \sin{\left(x \right)}}{\cos{\left(x \right)}}$$
___________________
/ 1 /5 11 5*x \
/ ----------------- *(11 - 5*x)*|- - -------- + --------|
\/ (11 - 5*x)*tan(x) \2 sin(2*x) sin(2*x)/
------------------------------------------------------------
2
(-11 + 5*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(2 x \right)}} + \frac{5}{2} - \frac{11}{\sin{\left(2 x \right)}}\right)}{\left(5 x - 11\right)^{2}}$$
__________ / 2 \
/ cot(x) |-1 - cot (x) 5*cot(x) |
/ -------- *(11 - 5*x)*|------------ + -------------|
\/ 11 - 5*x | 22 - 10*x 2|
\ 2*(11 - 5*x) /
--------------------------------------------------------
cot(x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{- \cot^{2}{\left(x \right)} - 1}{22 - 10 x} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}$$
____________________
___ / sin(2*x) 2 / 1 5*sin(2*x) \
\/ 2 * / ------------------ *sin (x)*(22 - 10*x)*|- ------------------- + ---------------------|
/ 2 | 2 2 2 |
\/ (11 - 5*x)*sin (x) \ (22 - 10*x)*sin (x) 4*(11 - 5*x) *sin (x)/
---------------------------------------------------------------------------------------------------
2*sin(2*x)
$$\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \sin^{2}{\left(x \right)}} + \frac{5 \sin{\left(2 x \right)}}{4 \left(11 - 5 x\right)^{2} \sin^{2}{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{2 \sin{\left(2 x \right)}}$$
____________________
___ / sin(2*x) / 11 5*x \
\/ 2 * / ------------------ *(11 - 5*x)*|5 - ------------------ + ------------------|
/ 2 | / pi\ / pi\|
\/ (11 - 5*x)*sin (x) | sin(x)*sin|x + --| sin(x)*sin|x + --||
\ \ 2 / \ 2 //
----------------------------------------------------------------------------------------
2
4*(-11 + 5*x)
$$\frac{\sqrt{2} \sqrt{\frac{\sin{\left(2 x \right)}}{\left(11 - 5 x\right) \sin^{2}{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(x \right)} \sin{\left(x + \frac{\pi}{2} \right)}} + 5 - \frac{11}{\sin{\left(x \right)} \sin{\left(x + \frac{\pi}{2} \right)}}\right)}{4 \left(5 x - 11\right)^{2}}$$
___________________
/ 1 / 1 5 \
/ ----------------- *(11 - 5*x)*|- ------------------- + --------------------|*tan(x)
\/ (11 - 5*x)*tan(x) | 2 2 |
\ (22 - 10*x)*sin (x) 2*(11 - 5*x) *tan(x)/
$$\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \sin^{2}{\left(x \right)}} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \tan{\left(x \right)}$$
__________
/ cot(x) / 5*sin(2*x)\
/ -------- *(11 - 5*x)*|-11 + 5*x + ----------|*tan(x)
\/ 11 - 5*x \ 2 /
---------------------------------------------------------
2
(1 - cos(2*x))*(-11 + 5*x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(5 x + \frac{5 \sin{\left(2 x \right)}}{2} - 11\right) \tan{\left(x \right)}}{\left(1 - \cos{\left(2 x \right)}\right) \left(5 x - 11\right)^{2}}$$
/ 2 \
| csc (x) |
|-1 - ------- |
___________________ | 2 |
/ csc(x) | sec (x) 5*csc(x) |
/ ----------------- *(11 - 5*x)*|------------ + --------------------|*sec(x)
\/ (11 - 5*x)*sec(x) | 22 - 10*x 2 |
\ 2*(11 - 5*x) *sec(x)/
-------------------------------------------------------------------------------
csc(x)
$$\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \sec{\left(x \right)}}} \left(11 - 5 x\right) \left(\frac{- \frac{\csc^{2}{\left(x \right)}}{\sec^{2}{\left(x \right)}} - 1}{22 - 10 x} + \frac{5 \csc{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \sec{\left(x \right)}}\right) \sec{\left(x \right)}}{\csc{\left(x \right)}}$$
___________________
/ 1 2 / 1 5 \
/ ----------------- *sin (x)*(22 - 10*x)*|- ------------------- + --------------------|
\/ (11 - 5*x)*tan(x) | 2 2 |
\ (22 - 10*x)*sin (x) 2*(11 - 5*x) *tan(x)/
------------------------------------------------------------------------------------------
sin(2*x)
$$\frac{\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(22 - 10 x\right) \left(- \frac{1}{\left(22 - 10 x\right) \sin^{2}{\left(x \right)}} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}}$$
__________
/ cot(x) /5 11 5*x \
/ -------- *(11 - 5*x)*|- - -------- + --------|
\/ 11 - 5*x \2 sin(2*x) sin(2*x)/
---------------------------------------------------
2
(-11 + 5*x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{5 x}{\sin{\left(2 x \right)}} + \frac{5}{2} - \frac{11}{\sin{\left(2 x \right)}}\right)}{\left(5 x - 11\right)^{2}}$$
________________________
/ cos(x) / 11 5*x \
/ ---------------------- *(11 - 5*x)*|5 - ------------------ + ------------------|
/ / pi\ | / pi\ / pi\|
/ (11 - 5*x)*cos|x - --| | cos(x)*cos|x - --| cos(x)*cos|x - --||
\/ \ 2 / \ \ 2 / \ 2 //
---------------------------------------------------------------------------------------
2
2*(-11 + 5*x)
$$\frac{\sqrt{\frac{\cos{\left(x \right)}}{\left(11 - 5 x\right) \cos{\left(x - \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(\frac{5 x}{\cos{\left(x \right)} \cos{\left(x - \frac{\pi}{2} \right)}} + 5 - \frac{11}{\cos{\left(x \right)} \cos{\left(x - \frac{\pi}{2} \right)}}\right)}{2 \left(5 x - 11\right)^{2}}$$
/ 2 \
| / 2/x\\ |
__________ | |1 + cot |-|| |
/ cot(x) 2/x\ / 2 \ | 5*cot(x) \ \2// |
2* / -------- *cot |-|*\1 + cot (x)/*(22 - 10*x)*|------------- - ---------------------|
\/ 11 - 5*x \2/ | 2 2/x\|
|2*(11 - 5*x) 4*(22 - 10*x)*cot |-||
\ \2//
------------------------------------------------------------------------------------------
2
/ 2/x\\
|1 + cot |-|| *cot(x)
\ \2//
$$\frac{2 \sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(22 - 10 x\right) \left(- \frac{\left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{4 \left(22 - 10 x\right) \cot^{2}{\left(\frac{x}{2} \right)}} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right) \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(\frac{x}{2} \right)}}{\left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2} \cot{\left(x \right)}}$$
/ 2 \
| / 2/x\\ |
___________________ | |1 + tan |-|| |
/ 1 | 5 \ \2// |
/ ----------------- *(11 - 5*x)*|-------------------- - ---------------------|*tan(x)
\/ (11 - 5*x)*tan(x) | 2 2/x\|
|2*(11 - 5*x) *tan(x) 4*(22 - 10*x)*tan |-||
\ \2//
$$\sqrt{\frac{1}{\left(11 - 5 x\right) \tan{\left(x \right)}}} \left(11 - 5 x\right) \left(- \frac{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)^{2}}{4 \left(22 - 10 x\right) \tan^{2}{\left(\frac{x}{2} \right)}} + \frac{5}{2 \left(11 - 5 x\right)^{2} \tan{\left(x \right)}}\right) \tan{\left(x \right)}$$
/ 2 \
| csc (x) |
|-1 - ------------ |
| 2/pi \ |
________________________ | csc |-- - x| |
/ csc(x) | \2 / 5*csc(x) | /pi \
/ ---------------------- *(11 - 5*x)*|----------------- + -------------------------|*csc|-- - x|
/ /pi \ | 22 - 10*x 2 /pi \| \2 /
/ (11 - 5*x)*csc|-- - x| | 2*(11 - 5*x) *csc|-- - x||
\/ \2 / \ \2 //
-----------------------------------------------------------------------------------------------------
csc(x)
$$\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(\frac{- \frac{\csc^{2}{\left(x \right)}}{\csc^{2}{\left(- x + \frac{\pi}{2} \right)}} - 1}{22 - 10 x} + \frac{5 \csc{\left(x \right)}}{2 \left(11 - 5 x\right)^{2} \csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}}$$
________________________
/ csc(x)
/ ---------------------- *(11 - 5*x)*(5/2 - 11*csc(2*x) + 5*x*csc(2*x))
/ /pi \
/ (11 - 5*x)*csc|-- - x|
\/ \2 /
----------------------------------------------------------------------------
2
(-11 + 5*x)
$$\frac{\sqrt{\frac{\csc{\left(x \right)}}{\left(11 - 5 x\right) \csc{\left(- x + \frac{\pi}{2} \right)}}} \left(11 - 5 x\right) \left(5 x \csc{\left(2 x \right)} - 11 \csc{\left(2 x \right)} + \frac{5}{2}\right)}{\left(5 x - 11\right)^{2}}$$
sqrt(csc(x)/((11 - 5*x)*csc(pi/2 - x)))*(11 - 5*x)*(5/2 - 11*csc(2*x) + 5*x*csc(2*x))/(-11 + 5*x)^2
Compilar la expresión
[src]
__________ / 2 \
/ cot(x) |-1 - cot (x) 5*cot(x) |
/ -------- *(11 - 5*x)*|------------ + -------------|
\/ 11 - 5*x | 22 - 10*x 2|
\ 2*(11 - 5*x) /
--------------------------------------------------------
cot(x)
$$\frac{\sqrt{\frac{\cot{\left(x \right)}}{11 - 5 x}} \left(11 - 5 x\right) \left(\frac{- \cot^{2}{\left(x \right)} - 1}{22 - 10 x} + \frac{5 \cot{\left(x \right)}}{2 \left(11 - 5 x\right)^{2}}\right)}{\cot{\left(x \right)}}$$
sqrt(cot(x)/(11 - 5*x))*(11 - 5*x)*((-1 - cot(x)^2)/(22 - 10*x) + 5*cot(x)/(2*(11 - 5*x)^2))/cot(x)