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Simplificación de expresiones/ Descomposición en fracciones simples/ sqrt(cos(x))*exp(x)/sqrt(1-exp(2*x))-asin(e^x)*sin(x)/(2*sqrt(cos(x)))

¿Cómo vas a descomponer esta sqrt(cos(x))*exp(x)/sqrt(1-exp(2*x))-asin(e^x)*sin(x)/(2*sqrt(cos(x))) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
  ________  x       / x\       
\/ cos(x) *e    asin\E /*sin(x)
------------- - ---------------
   __________         ________ 
  /      2*x      2*\/ cos(x)  
\/  1 - e
excos⁡(x)1−e2x−sin⁡(x)asin⁡(ex)2cos⁡(x)\frac{e^{x} \sqrt{\cos{\left(x \right)}}}{\sqrt{1 - e^{2 x}}} - \frac{\sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} 
(sqrt(cos(x))*exp(x))/sqrt(1 - exp(2*x)) - asin(E^x)*sin(x)/(2*sqrt(cos(x)))
Simplificación general [src] 
  ________  x       / x\       
\/ cos(x) *e    asin\e /*sin(x)
------------- - ---------------
   __________         ________ 
  /      2*x      2*\/ cos(x)  
\/  1 - e
−sin⁡(x)asin⁡(ex)2cos⁡(x)+excos⁡(x)1−e2x- \frac{\sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} + \frac{e^{x} \sqrt{\cos{\left(x \right)}}}{\sqrt{1 - e^{2 x}}} 
sqrt(cos(x))*exp(x)/sqrt(1 - exp(2*x)) - asin(exp(x))*sin(x)/(2*sqrt(cos(x)))
Respuesta numérica [src] 
(1.0 - exp(2*x))^(-0.5)*cos(x)^0.5*exp(x) - 0.5*cos(x)^(-0.5)*asin(E^x)*sin(x)
(1.0 - exp(2*x))^(-0.5)*cos(x)^0.5*exp(x) - 0.5*cos(x)^(-0.5)*asin(E^x)*sin(x)
Abrimos la expresión [src] 
  ________  x       / x\       
\/ cos(x) *e    asin\e /*sin(x)
------------- - ---------------
   __________         ________ 
  /      2*x      2*\/ cos(x)  
\/  1 - e
−sin⁡(x)asin⁡(ex)2cos⁡(x)+excos⁡(x)1−e2x- \frac{\sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} + \frac{e^{x} \sqrt{\cos{\left(x \right)}}}{\sqrt{1 - e^{2 x}}} 
sqrt(cos(x))*exp(x)/sqrt(1 - exp(2*x)) - asin(exp(x))*sin(x)/(2*sqrt(cos(x)))
Combinatoria [src] 
 /                   __________                \ 
 |            x     /      2*x      / x\       | 
-\- 2*cos(x)*e  + \/  1 - e    *asin\e /*sin(x)/ 
-------------------------------------------------
           _____________________                 
          /  /     x\ /      x\    ________      
      2*\/  -\1 + e /*\-1 + e / *\/ cos(x)
−1−e2xsin⁡(x)asin⁡(ex)−2excos⁡(x)2−(ex−1)(ex+1)cos⁡(x)- \frac{\sqrt{1 - e^{2 x}} \sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)} - 2 e^{x} \cos{\left(x \right)}}{2 \sqrt{- \left(e^{x} - 1\right) \left(e^{x} + 1\right)} \sqrt{\cos{\left(x \right)}}} 
-(-2*cos(x)*exp(x) + sqrt(1 - exp(2*x))*asin(exp(x))*sin(x))/(2*sqrt(-(1 + exp(x))*(-1 + exp(x)))*sqrt(cos(x)))
Unión de expresiones racionales [src] 
                 __________                
          x     /      2*x      / x\       
2*cos(x)*e  - \/  1 - e    *asin\e /*sin(x)
-------------------------------------------
              __________                   
             /      2*x    ________        
         2*\/  1 - e    *\/ cos(x)
−1−e2xsin⁡(x)asin⁡(ex)+2excos⁡(x)21−e2xcos⁡(x)\frac{- \sqrt{1 - e^{2 x}} \sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)} + 2 e^{x} \cos{\left(x \right)}}{2 \sqrt{1 - e^{2 x}} \sqrt{\cos{\left(x \right)}}} 
(2*cos(x)*exp(x) - sqrt(1 - exp(2*x))*asin(exp(x))*sin(x))/(2*sqrt(1 - exp(2*x))*sqrt(cos(x)))
Denominador racional [src] 
                                              __________          
    / x\              / x\  2*x              /      2*x          x
asin\e /*sin(x) - asin\e /*e   *sin(x) - 2*\/  1 - e    *cos(x)*e 
------------------------------------------------------------------
                       /      2*x\   ________                     
                     2*\-1 + e   /*\/ cos(x)
−21−e2xexcos⁡(x)−e2xsin⁡(x)asin⁡(ex)+sin⁡(x)asin⁡(ex)2(e2x−1)cos⁡(x)\frac{- 2 \sqrt{1 - e^{2 x}} e^{x} \cos{\left(x \right)} - e^{2 x} \sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)} + \sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)}}{2 \left(e^{2 x} - 1\right) \sqrt{\cos{\left(x \right)}}} 
(asin(exp(x))*sin(x) - asin(exp(x))*exp(2*x)*sin(x) - 2*sqrt(1 - exp(2*x))*cos(x)*exp(x))/(2*(-1 + exp(2*x))*sqrt(cos(x)))
Denominador común [src] 
 /                   __________                \ 
 |            x     /      2*x      / x\       | 
-\- 2*cos(x)*e  + \/  1 - e    *asin\e /*sin(x)/ 
-------------------------------------------------
                 __________                      
                /      2*x    ________           
            2*\/  1 - e    *\/ cos(x)
−1−e2xsin⁡(x)asin⁡(ex)−2excos⁡(x)21−e2xcos⁡(x)- \frac{\sqrt{1 - e^{2 x}} \sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)} - 2 e^{x} \cos{\left(x \right)}}{2 \sqrt{1 - e^{2 x}} \sqrt{\cos{\left(x \right)}}} 
-(-2*cos(x)*exp(x) + sqrt(1 - exp(2*x))*asin(exp(x))*sin(x))/(2*sqrt(1 - exp(2*x))*sqrt(cos(x)))
Potencias [src] 
  ________  x       / x\       
\/ cos(x) *e    asin\e /*sin(x)
------------- - ---------------
   __________         ________ 
  /      2*x      2*\/ cos(x)  
\/  1 - e
−sin⁡(x)asin⁡(ex)2cos⁡(x)+excos⁡(x)1−e2x- \frac{\sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} + \frac{e^{x} \sqrt{\cos{\left(x \right)}}}{\sqrt{1 - e^{2 x}}} 
     ______________                                 
    /  I*x    -I*x                                  
   /  e      e       x                              
  /   ---- + ----- *e      /   -I*x    I*x\     / x\
\/     2       2         I*\- e     + e   /*asin\e /
---------------------- + ---------------------------
       __________                  ______________   
      /      2*x                  /  I*x    -I*x    
    \/  1 - e                    /  e      e        
                            4*  /   ---- + -----    
                              \/     2       2
i(eix−e−ix)asin⁡(ex)4eix2+e−ix2+eix2+e−ix2ex1−e2x\frac{i \left(e^{i x} - e^{- i x}\right) \operatorname{asin}{\left(e^{x} \right)}}{4 \sqrt{\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}}} + \frac{\sqrt{\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}} e^{x}}{\sqrt{1 - e^{2 x}}} 
sqrt(exp(i*x)/2 + exp(-i*x)/2)*exp(x)/sqrt(1 - exp(2*x)) + i*(-exp(-i*x) + exp(i*x))*asin(exp(x))/(4*sqrt(exp(i*x)/2 + exp(-i*x)/2))
Compilar la expresión [src] 
  ________  x       / x\       
\/ cos(x) *e    asin\e /*sin(x)
------------- - ---------------
   __________         ________ 
  /      2*x      2*\/ cos(x)  
\/  1 - e
−sin⁡(x)asin⁡(ex)2cos⁡(x)+excos⁡(x)1−e2x- \frac{\sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} + \frac{e^{x} \sqrt{\cos{\left(x \right)}}}{\sqrt{1 - e^{2 x}}} 
  ________  x       / x\       
\/ cos(x) *e    asin\E /*sin(x)
------------- - ---------------
   __________         ________ 
  /      2*x      2*\/ cos(x)  
\/  1 - e
−sin⁡(x)asin⁡(ex)2cos⁡(x)+excos⁡(x)1−e2x- \frac{\sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} + \frac{e^{x} \sqrt{\cos{\left(x \right)}}}{\sqrt{1 - e^{2 x}}} 
sqrt(cos(x))*exp(x)/sqrt(1 - exp(2*x)) - asin(E^x)*sin(x)/(2*sqrt(cos(x)))
Parte trigonométrica [src] 
      _____________                                                   
     /      1                                                         
    /  ----------- *(cosh(x) + sinh(x))                               
   /      /pi    \                                                    
  /    csc|-- - x|                             /                   x\ 
\/        \2     /                         asin\(cosh(1) + sinh(1)) / 
--------------------------------------- - ----------------------------
       ___________________________                _____________       
     \/ 1 - cosh(2*x) - sinh(2*x)                /      1             
                                          2*    /  ----------- *csc(x)
                                               /      /pi    \        
                                              /    csc|-- - x|        
                                            \/        \2     /
(sinh⁡(x)+cosh⁡(x))1csc⁡(−x+π2)−sinh⁡(2x)−cosh⁡(2x)+1−asin⁡((sinh⁡(1)+cosh⁡(1))x)21csc⁡(−x+π2)csc⁡(x)\frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sqrt{\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\operatorname{asin}{\left(\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} \right)}}{2 \sqrt{\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}} \csc{\left(x \right)}} 
        _____________                                         
       /        2/x\                                          
      /  1 - tan |-|                                          
     /           \2/   x                                      
    /    ----------- *e                                       
   /            2/x\                     / x\    /x\          
  /      1 + tan |-|                 asin\e /*tan|-|          
\/               \2/                             \2/          
------------------------ - -----------------------------------
        __________                 _____________              
       /      2*x                 /        2/x\               
     \/  1 - e                   /  1 - tan |-|               
                                /           \2/  /       2/x\\
                               /    ----------- *|1 + tan |-||
                              /            2/x\  \        \2//
                             /      1 + tan |-|               
                           \/               \2/
1−tan⁡2(x2)tan⁡2(x2)+1ex1−e2x−tan⁡(x2)asin⁡(ex)1−tan⁡2(x2)tan⁡2(x2)+1(tan⁡2(x2)+1)\frac{\sqrt{\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} e^{x}}{\sqrt{1 - e^{2 x}}} - \frac{\tan{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(e^{x} \right)}}{\sqrt{\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)} 
    ________                           
   /   1      x                        
  /  ------ *e               / x\      
\/   sec(x)              asin\e /      
--------------- - ---------------------
    __________          ________       
   /      2*x          /   1           
 \/  1 - e        2*  /  ------ *csc(x)
                    \/   sec(x)
−asin⁡(ex)21sec⁡(x)csc⁡(x)+1sec⁡(x)ex1−e2x- \frac{\operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\frac{1}{\sec{\left(x \right)}}} \csc{\left(x \right)}} + \frac{\sqrt{\frac{1}{\sec{\left(x \right)}}} e^{x}}{\sqrt{1 - e^{2 x}}} 
    _____________                                                        
   /    /    pi\                                                         
  /  sin|x + --| *(cosh(x) + sinh(x))       /                   x\       
\/      \    2 /                        asin\(cosh(1) + sinh(1)) /*sin(x)
------------------------------------- - ---------------------------------
      ___________________________                    _____________       
    \/ 1 - cosh(2*x) - sinh(2*x)                    /    /    pi\        
                                               2*  /  sin|x + --|        
                                                 \/      \    2 /
(sinh⁡(x)+cosh⁡(x))sin⁡(x+π2)−sinh⁡(2x)−cosh⁡(2x)+1−sin⁡(x)asin⁡((sinh⁡(1)+cosh⁡(1))x)2sin⁡(x+π2)\frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sqrt{\sin{\left(x + \frac{\pi}{2} \right)}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\sin{\left(x \right)} \operatorname{asin}{\left(\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} \right)}}{2 \sqrt{\sin{\left(x + \frac{\pi}{2} \right)}}} 
    ________                                
   /   1      x                             
  /  ------ *e                 / x\         
\/   sec(x)                asin\e /         
--------------- - --------------------------
    __________          ________            
   /      2*x          /   1        /    pi\
 \/  1 - e        2*  /  ------ *sec|x - --|
                    \/   sec(x)     \    2 /
−asin⁡(ex)21sec⁡(x)sec⁡(x−π2)+1sec⁡(x)ex1−e2x- \frac{\operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\frac{1}{\sec{\left(x \right)}}} \sec{\left(x - \frac{\pi}{2} \right)}} + \frac{\sqrt{\frac{1}{\sec{\left(x \right)}}} e^{x}}{\sqrt{1 - e^{2 x}}} 
  ________                                                     
\/ cos(x) *(cosh(x) + sinh(x))   asin(cosh(x) + sinh(x))*sin(x)
------------------------------ - ------------------------------
  ___________________________                 ________         
\/ 1 - cosh(2*x) - sinh(2*x)              2*\/ cos(x)
(sinh⁡(x)+cosh⁡(x))cos⁡(x)−sinh⁡(2x)−cosh⁡(2x)+1−sin⁡(x)asin⁡(sinh⁡(x)+cosh⁡(x))2cos⁡(x)\frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sqrt{\cos{\left(x \right)}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\sin{\left(x \right)} \operatorname{asin}{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)} \right)}}{2 \sqrt{\cos{\left(x \right)}}} 
        ______________                                                           
       /         2/x\                                                            
      /  -1 + cot |-|                                                            
     /            \2/                                                            
    /    ------------ *(cosh(x) + sinh(x))                                       
   /            2/x\                              /                   x\    /x\  
  /      1 + cot |-|                          asin\(cosh(1) + sinh(1)) /*cot|-|  
\/               \2/                                                        \2/  
------------------------------------------ - ------------------------------------
        ___________________________                  ______________              
      \/ 1 - cosh(2*x) - sinh(2*x)                  /         2/x\               
                                                   /  -1 + cot |-|               
                                                  /            \2/  /       2/x\\
                                                 /    ------------ *|1 + cot |-||
                                                /            2/x\   \        \2//
                                               /      1 + cot |-|                
                                             \/               \2/
cot⁡2(x2)−1cot⁡2(x2)+1(sinh⁡(x)+cosh⁡(x))−sinh⁡(2x)−cosh⁡(2x)+1−cot⁡(x2)asin⁡((sinh⁡(1)+cosh⁡(1))x)cot⁡2(x2)−1cot⁡2(x2)+1(cot⁡2(x2)+1)\frac{\sqrt{\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right)}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\cot{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} \right)}}{\sqrt{\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)} 
      _____________                                  
     /      1        x                               
    /  ----------- *e                                
   /      /pi    \                                   
  /    csc|-- - x|                     / x\          
\/        \2     /                 asin\e /          
---------------------- - ----------------------------
       __________                _____________       
      /      2*x                /      1             
    \/  1 - e            2*    /  ----------- *csc(x)
                              /      /pi    \        
                             /    csc|-- - x|        
                           \/        \2     /
−asin⁡(ex)21csc⁡(−x+π2)csc⁡(x)+1csc⁡(−x+π2)ex1−e2x- \frac{\operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}} \csc{\left(x \right)}} + \frac{\sqrt{\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}} e^{x}}{\sqrt{1 - e^{2 x}}} 
        _____________                                                          
       /        2/x\                                                           
      /  1 - tan |-|                                                           
     /           \2/                                                           
    /    ----------- *(cosh(x) + sinh(x))                                      
   /            2/x\                             /                   x\    /x\ 
  /      1 + tan |-|                         asin\(cosh(1) + sinh(1)) /*tan|-| 
\/               \2/                                                       \2/ 
----------------------------------------- - -----------------------------------
        ___________________________                 _____________              
      \/ 1 - cosh(2*x) - sinh(2*x)                 /        2/x\               
                                                  /  1 - tan |-|               
                                                 /           \2/  /       2/x\\
                                                /    ----------- *|1 + tan |-||
                                               /            2/x\  \        \2//
                                              /      1 + tan |-|               
                                            \/               \2/
1−tan⁡2(x2)tan⁡2(x2)+1(sinh⁡(x)+cosh⁡(x))−sinh⁡(2x)−cosh⁡(2x)+1−tan⁡(x2)asin⁡((sinh⁡(1)+cosh⁡(1))x)1−tan⁡2(x2)tan⁡2(x2)+1(tan⁡2(x2)+1)\frac{\sqrt{\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right)}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\tan{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} \right)}}{\sqrt{\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)} 
                                     /                   x\    /    pi\
  ________                       asin\(cosh(1) + sinh(1)) /*cos|x - --|
\/ cos(x) *(cosh(x) + sinh(x))                                 \    2 /
------------------------------ - --------------------------------------
  ___________________________                     ________             
\/ 1 - cosh(2*x) - sinh(2*x)                  2*\/ cos(x)
(sinh⁡(x)+cosh⁡(x))cos⁡(x)−sinh⁡(2x)−cosh⁡(2x)+1−cos⁡(x−π2)asin⁡((sinh⁡(1)+cosh⁡(1))x)2cos⁡(x)\frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sqrt{\cos{\left(x \right)}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\cos{\left(x - \frac{\pi}{2} \right)} \operatorname{asin}{\left(\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} 
    ________                                                 
   /   1                                                     
  /  ------ *(cosh(x) + sinh(x))       /                   x\
\/   sec(x)                        asin\(cosh(1) + sinh(1)) /
-------------------------------- - --------------------------
   ___________________________           ________            
 \/ 1 - cosh(2*x) - sinh(2*x)           /   1        /    pi\
                                   2*  /  ------ *sec|x - --|
                                     \/   sec(x)     \    2 /
(sinh⁡(x)+cosh⁡(x))1sec⁡(x)−sinh⁡(2x)−cosh⁡(2x)+1−asin⁡((sinh⁡(1)+cosh⁡(1))x)21sec⁡(x)sec⁡(x−π2)\frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sqrt{\frac{1}{\sec{\left(x \right)}}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\operatorname{asin}{\left(\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} \right)}}{2 \sqrt{\frac{1}{\sec{\left(x \right)}}} \sec{\left(x - \frac{\pi}{2} \right)}} 
  ________  x       / x\       
\/ cos(x) *e    asin\e /*sin(x)
------------- - ---------------
   __________         ________ 
  /      2*x      2*\/ cos(x)  
\/  1 - e
−sin⁡(x)asin⁡(ex)2cos⁡(x)+excos⁡(x)1−e2x- \frac{\sin{\left(x \right)} \operatorname{asin}{\left(e^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} + \frac{e^{x} \sqrt{\cos{\left(x \right)}}}{\sqrt{1 - e^{2 x}}} 
  ________                           /                   x\       
\/ cos(x) *(cosh(x) + sinh(x))   asin\(cosh(1) + sinh(1)) /*sin(x)
------------------------------ - ---------------------------------
  ___________________________                   ________          
\/ 1 - cosh(2*x) - sinh(2*x)                2*\/ cos(x)
(sinh⁡(x)+cosh⁡(x))cos⁡(x)−sinh⁡(2x)−cosh⁡(2x)+1−sin⁡(x)asin⁡((sinh⁡(1)+cosh⁡(1))x)2cos⁡(x)\frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sqrt{\cos{\left(x \right)}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\sin{\left(x \right)} \operatorname{asin}{\left(\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} \right)}}{2 \sqrt{\cos{\left(x \right)}}} 
    _____________                                                     
   /    /    pi\                                                      
  /  sin|x + --| *(cosh(x) + sinh(x))                                 
\/      \    2 /                        asin(cosh(x) + sinh(x))*sin(x)
------------------------------------- - ------------------------------
      ___________________________                  _____________      
    \/ 1 - cosh(2*x) - sinh(2*x)                  /    /    pi\       
                                             2*  /  sin|x + --|       
                                               \/      \    2 /
(sinh⁡(x)+cosh⁡(x))sin⁡(x+π2)−sinh⁡(2x)−cosh⁡(2x)+1−sin⁡(x)asin⁡(sinh⁡(x)+cosh⁡(x))2sin⁡(x+π2)\frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sqrt{\sin{\left(x + \frac{\pi}{2} \right)}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\sin{\left(x \right)} \operatorname{asin}{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)} \right)}}{2 \sqrt{\sin{\left(x + \frac{\pi}{2} \right)}}} 
                                                            /    pi\
  ________                       asin(cosh(x) + sinh(x))*cos|x - --|
\/ cos(x) *(cosh(x) + sinh(x))                              \    2 /
------------------------------ - -----------------------------------
  ___________________________                    ________           
\/ 1 - cosh(2*x) - sinh(2*x)                 2*\/ cos(x)
(sinh⁡(x)+cosh⁡(x))cos⁡(x)−sinh⁡(2x)−cosh⁡(2x)+1−cos⁡(x−π2)asin⁡(sinh⁡(x)+cosh⁡(x))2cos⁡(x)\frac{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)}\right) \sqrt{\cos{\left(x \right)}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\cos{\left(x - \frac{\pi}{2} \right)} \operatorname{asin}{\left(\sinh{\left(x \right)} + \cosh{\left(x \right)} \right)}}{2 \sqrt{\cos{\left(x \right)}}} 
        ______________                                          
       /         2/x\                                           
      /  -1 + cot |-|                                           
     /            \2/   x                                       
    /    ------------ *e                                        
   /            2/x\                      / x\    /x\           
  /      1 + cot |-|                  asin\e /*cot|-|           
\/               \2/                              \2/           
------------------------- - ------------------------------------
         __________                 ______________              
        /      2*x                 /         2/x\               
      \/  1 - e                   /  -1 + cot |-|               
                                 /            \2/  /       2/x\\
                                /    ------------ *|1 + cot |-||
                               /            2/x\   \        \2//
                              /      1 + cot |-|                
                            \/               \2/
cot⁡2(x2)−1cot⁡2(x2)+1ex1−e2x−cot⁡(x2)asin⁡(ex)cot⁡2(x2)−1cot⁡2(x2)+1(cot⁡2(x2)+1)\frac{\sqrt{\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} e^{x}}{\sqrt{1 - e^{2 x}}} - \frac{\cot{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(e^{x} \right)}}{\sqrt{\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)} 
sqrt((-1 + cot(x/2)^2)/(1 + cot(x/2)^2))*exp(x)/sqrt(1 - exp(2*x)) - asin(exp(x))*cot(x/2)/(sqrt((-1 + cot(x/2)^2)/(1 + cot(x/2)^2))*(1 + cot(x/2)^2))
    © Sr Examen – Калькулятор