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Simplificación de expresiones/ Descomposición en fracciones simples/ exp(x+2)/(x+sin(x)^(-1))^(1/3)+(cos(x)+tan(x))/(2*log(x)/log(2))

¿Cómo vas a descomponer esta exp(x+2)/(x+sin(x)^(-1))^(1/3)+(cos(x)+tan(x))/(2*log(x)/log(2)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
      x + 2                       
     e             cos(x) + tan(x)
---------------- + ---------------
    ____________      /2*log(x)\  
   /       1          |--------|  
3 /  x + ------       \ log(2) /  
\/       sin(x)
ex+2x+1sin⁡(x)3+cos⁡(x)+tan⁡(x)1log⁡(2)2log⁡(x)\frac{e^{x + 2}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} + \frac{\cos{\left(x \right)} + \tan{\left(x \right)}}{\frac{1}{\log{\left(2 \right)}} 2 \log{\left(x \right)}} 
exp(x + 2)/(x + 1/sin(x))^(1/3) + (cos(x) + tan(x))/(((2*log(x))/log(2)))
Simplificación general [src] 
                                   2 + x        
                                2*e     *log(x) 
cos(x)*log(2) + log(2)*tan(x) + ----------------
                                    ____________
                                   /       1    
                                3 /  x + ------ 
                                \/       sin(x) 
------------------------------------------------
                    2*log(x)
log⁡(2)cos⁡(x)+log⁡(2)tan⁡(x)+2ex+2log⁡(x)x+1sin⁡(x)32log⁡(x)\frac{\log{\left(2 \right)} \cos{\left(x \right)} + \log{\left(2 \right)} \tan{\left(x \right)} + \frac{2 e^{x + 2} \log{\left(x \right)}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}}}{2 \log{\left(x \right)}} 
(cos(x)*log(2) + log(2)*tan(x) + 2*exp(2 + x)*log(x)/(x + 1/sin(x))^(1/3))/(2*log(x))
Unión de expresiones racionales [src] 
                      ______________                         
   2 + x             / 1 + x*sin(x)                          
2*e     *log(x) + 3 /  ------------ *(cos(x) + tan(x))*log(2)
                  \/      sin(x)                             
-------------------------------------------------------------
                       ______________                        
                      / 1 + x*sin(x)                         
                 2*3 /  ------------ *log(x)                 
                   \/      sin(x)
xsin⁡(x)+1sin⁡(x)3(cos⁡(x)+tan⁡(x))log⁡(2)+2ex+2log⁡(x)2xsin⁡(x)+1sin⁡(x)3log⁡(x)\frac{\sqrt[3]{\frac{x \sin{\left(x \right)} + 1}{\sin{\left(x \right)}}} \left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) \log{\left(2 \right)} + 2 e^{x + 2} \log{\left(x \right)}}{2 \sqrt[3]{\frac{x \sin{\left(x \right)} + 1}{\sin{\left(x \right)}}} \log{\left(x \right)}} 
(2*exp(2 + x)*log(x) + ((1 + x*sin(x))/sin(x))^(1/3)*(cos(x) + tan(x))*log(2))/(2*((1 + x*sin(x))/sin(x))^(1/3)*log(x))
Respuesta numérica [src] 
(x + 1/sin(x))^(-0.333333333333333)*exp(x + 2) + 0.346573590279973*(cos(x) + tan(x))/log(x)
(x + 1/sin(x))^(-0.333333333333333)*exp(x + 2) + 0.346573590279973*(cos(x) + tan(x))/log(x)
Denominador racional [src] 
                      ____________                     ____________              
   2 + x             /       1                        /       1                  
2*e     *log(x) + 3 /  x + ------ *cos(x)*log(2) + 3 /  x + ------ *log(2)*tan(x)
                  \/       sin(x)                  \/       sin(x)               
---------------------------------------------------------------------------------
                                  ____________                                   
                                 /       1                                       
                            2*3 /  x + ------ *log(x)                            
                              \/       sin(x)
x+1sin⁡(x)3log⁡(2)cos⁡(x)+x+1sin⁡(x)3log⁡(2)tan⁡(x)+2ex+2log⁡(x)2x+1sin⁡(x)3log⁡(x)\frac{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(2 \right)} \cos{\left(x \right)} + \sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(2 \right)} \tan{\left(x \right)} + 2 e^{x + 2} \log{\left(x \right)}}{2 \sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(x \right)}} 
(2*exp(2 + x)*log(x) + (x + 1/sin(x))^(1/3)*cos(x)*log(2) + (x + 1/sin(x))^(1/3)*log(2)*tan(x))/(2*(x + 1/sin(x))^(1/3)*log(x))
Combinatoria [src] 
    ____________                     ____________                               
   /       1                        /       1                        2  x       
3 /  x + ------ *cos(x)*log(2) + 3 /  x + ------ *log(2)*tan(x) + 2*e *e *log(x)
\/       sin(x)                  \/       sin(x)                                
--------------------------------------------------------------------------------
                                 ____________                                   
                                /       1                                       
                           2*3 /  x + ------ *log(x)                            
                             \/       sin(x)
x+1sin⁡(x)3log⁡(2)cos⁡(x)+x+1sin⁡(x)3log⁡(2)tan⁡(x)+2e2exlog⁡(x)2x+1sin⁡(x)3log⁡(x)\frac{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(2 \right)} \cos{\left(x \right)} + \sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(2 \right)} \tan{\left(x \right)} + 2 e^{2} e^{x} \log{\left(x \right)}}{2 \sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(x \right)}} 
((x + 1/sin(x))^(1/3)*cos(x)*log(2) + (x + 1/sin(x))^(1/3)*log(2)*tan(x) + 2*exp(2)*exp(x)*log(x))/(2*(x + 1/sin(x))^(1/3)*log(x))
Compilar la expresión [src] 
      x + 2                                
     e             (cos(x) + tan(x))*log(2)
---------------- + ------------------------
    ____________           2*log(x)        
   /       1                               
3 /  x + ------                            
\/       sin(x)
(cos⁡(x)+tan⁡(x))log⁡(2)2log⁡(x)+ex+2x+1sin⁡(x)3\frac{\left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
exp(x + 2)/(x + 1/sin(x))^(1/3) + (cos(x) + tan(x))*log(2)/(2*log(x))
Abrimos la expresión [src] 
      x + 2                                
     e             (cos(x) + tan(x))*log(2)
---------------- + ------------------------
    ____________           2*log(x)        
   /       1                               
3 /  x + ------                            
\/       sin(x)
(cos⁡(x)+tan⁡(x))log⁡(2)2log⁡(x)+ex+2x+1sin⁡(x)3\frac{\left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
      2  x                                      
     e *e          cos(x)*log(2)   log(2)*tan(x)
---------------- + ------------- + -------------
    ____________      2*log(x)        2*log(x)  
   /       1                                    
3 /  x + ------                                 
\/       sin(x)
log⁡(2)cos⁡(x)2log⁡(x)+log⁡(2)tan⁡(x)2log⁡(x)+e2exx+1sin⁡(x)3\frac{\log{\left(2 \right)} \cos{\left(x \right)}}{2 \log{\left(x \right)}} + \frac{\log{\left(2 \right)} \tan{\left(x \right)}}{2 \log{\left(x \right)}} + \frac{e^{2} e^{x}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
exp(2)*exp(x)/(x + 1/sin(x))^(1/3) + cos(x)*log(2)/(2*log(x)) + log(2)*tan(x)/(2*log(x))
Parte trigonométrica [src] 
cosh(2 + x) + sinh(2 + x)   (cos(x) + tan(x))*log(2)
------------------------- + ------------------------
      3 ____________                2*log(x)        
      \/ x + csc(x)
(cos⁡(x)+tan⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+csc⁡(x)3\frac{\left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \csc{\left(x \right)}}} 
cosh(2 + x) + sinh(2 + x)   (cos(x) + tan(x))*log(2)
------------------------- + ------------------------
         ____________               2*log(x)        
        /       1                                   
     3 /  x + ------                                
     \/       sin(x)
(cos⁡(x)+tan⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+1sin⁡(x)3\frac{\left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
                            /                 2/x\\       
                            |         -1 + cot |-||       
                            |  1               \2/|       
                            |------ + ------------|*log(2)
                            |cot(x)          2/x\ |       
           2 + x            |         1 + cot |-| |       
          e                 \                 \2/ /       
------------------------- + ------------------------------
        _________________              2*log(x)           
       /            2/x\                                  
      /      1 + cot |-|                                  
     /               \2/                                  
    /    x + -----------                                  
   /                /x\                                   
3 /            2*cot|-|                                   
\/                  \2/
(cot⁡2(x2)−1cot⁡2(x2)+1+1cot⁡(x))log⁡(2)2log⁡(x)+ex+2x+cot⁡2(x2)+12cot⁡(x2)3\frac{\left(\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{1}{\cot{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \frac{\cot^{2}{\left(\frac{x}{2} \right)} + 1}{2 \cot{\left(\frac{x}{2} \right)}}}} 
                            /   /    pi\         \       
                            |cos|x - --|         |       
                            |   \    2 /         |       
                            |----------- + cos(x)|*log(2)
cosh(2 + x) + sinh(2 + x)   \   cos(x)           /       
------------------------- + -----------------------------
       _________________               2*log(x)          
      /          1                                       
     /  x + -----------                                  
    /          /    pi\                                  
 3 /        cos|x - --|                                  
 \/            \    2 /
(cos⁡(x)+cos⁡(x−π2)cos⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+1cos⁡(x−π2)3\frac{\left(\cos{\left(x \right)} + \frac{\cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \frac{1}{\cos{\left(x - \frac{\pi}{2} \right)}}}} 
     2 + x                               
    e            (cos(x) + tan(x))*log(2)
-------------- + ------------------------
3 ____________           2*log(x)        
\/ x + csc(x)
(cos⁡(x)+tan⁡(x))log⁡(2)2log⁡(x)+ex+2x+csc⁡(x)3\frac{\left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \csc{\left(x \right)}}} 
                 /                 /pi    \\       
                 |              csc|-- - x||       
                 |     1           \2     /|       
                 |----------- + -----------|*log(2)
                 |   /pi    \      csc(x)  |       
     2 + x       |csc|-- - x|              |       
    e            \   \2     /              /       
-------------- + ----------------------------------
3 ____________                2*log(x)             
\/ x + csc(x)
(1csc⁡(−x+π2)+csc⁡(−x+π2)csc⁡(x))log⁡(2)2log⁡(x)+ex+2x+csc⁡(x)3\frac{\left(\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}} + \frac{\csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \csc{\left(x \right)}}} 
      2 + x                                
     e             (cos(x) + tan(x))*log(2)
---------------- + ------------------------
    ____________           2*log(x)        
   /       1                               
3 /  x + ------                            
\/       sin(x)
(cos⁡(x)+tan⁡(x))log⁡(2)2log⁡(x)+ex+2x+1sin⁡(x)3\frac{\left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
                            /       2/x\         \       
                            |1 - tan |-|         |       
                            |        \2/         |       
                            |----------- + tan(x)|*log(2)
                            |       2/x\         |       
                            |1 + tan |-|         |       
cosh(2 + x) + sinh(2 + x)   \        \2/         /       
------------------------- + -----------------------------
        _________________              2*log(x)          
       /            2/x\                                 
      /      1 + tan |-|                                 
     /               \2/                                 
    /    x + -----------                                 
   /                /x\                                  
3 /            2*tan|-|                                  
\/                  \2/
(1−tan⁡2(x2)tan⁡2(x2)+1+tan⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+tan⁡2(x2)+12tan⁡(x2)3\frac{\left(\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{2 \tan{\left(\frac{x}{2} \right)}}}} 
      x + 2                                  
     e              log(2)                   
---------------- + --------*(cos(x) + tan(x))
    ____________   2*log(x)                  
   /       1                                 
3 /  x + ------                              
\/       sin(x)
log⁡(2)2log⁡(x)(cos⁡(x)+tan⁡(x))+ex+2x+1sin⁡(x)3\frac{\log{\left(2 \right)}}{2 \log{\left(x \right)}} \left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) + \frac{e^{x + 2}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
                            /     2                 \       
                            |2*sin (x)      /    pi\|       
                            |--------- + sin|x + --||*log(2)
cosh(2 + x) + sinh(2 + x)   \ sin(2*x)      \    2 //       
------------------------- + --------------------------------
         ____________                   2*log(x)            
        /       1                                           
     3 /  x + ------                                        
     \/       sin(x)
(2sin⁡2(x)sin⁡(2x)+sin⁡(x+π2))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+1sin⁡(x)3\frac{\left(\frac{2 \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}} + \sin{\left(x + \frac{\pi}{2} \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
                        /  1         sec(x)  \       
                        |------ + -----------|*log(2)
                        |sec(x)      /    pi\|       
         2 + x          |         sec|x - --||       
        e               \            \    2 //       
--------------------- + -----------------------------
    _________________              2*log(x)          
   /        /pi    \                                 
3 /  x + sec|-- - x|                                 
\/          \2     /
(sec⁡(x)sec⁡(x−π2)+1sec⁡(x))log⁡(2)2log⁡(x)+ex+2x+sec⁡(−x+π2)3\frac{\left(\frac{\sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}} + \frac{1}{\sec{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \sec{\left(- x + \frac{\pi}{2} \right)}}} 
                            /  1         sec(x)  \       
                            |------ + -----------|*log(2)
                            |sec(x)      /    pi\|       
                            |         sec|x - --||       
cosh(2 + x) + sinh(2 + x)   \            \    2 //       
------------------------- + -----------------------------
      _________________                2*log(x)          
     /        /    pi\                                   
  3 /  x + sec|x - --|                                   
  \/          \    2 /
(sec⁡(x)sec⁡(x−π2)+1sec⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+sec⁡(x−π2)3\frac{\left(\frac{\sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}} + \frac{1}{\sec{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \sec{\left(x - \frac{\pi}{2} \right)}}} 
                            /       2/x\         \       
                            |1 - tan |-|         |       
                            |        \2/         |       
                            |----------- + tan(x)|*log(2)
                            |       2/x\         |       
           2 + x            |1 + tan |-|         |       
          e                 \        \2/         /       
------------------------- + -----------------------------
        _________________              2*log(x)          
       /            2/x\                                 
      /      1 + tan |-|                                 
     /               \2/                                 
    /    x + -----------                                 
   /                /x\                                  
3 /            2*tan|-|                                  
\/                  \2/
(1−tan⁡2(x2)tan⁡2(x2)+1+tan⁡(x))log⁡(2)2log⁡(x)+ex+2x+tan⁡2(x2)+12tan⁡(x2)3\frac{\left(\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \frac{\tan^{2}{\left(\frac{x}{2} \right)} + 1}{2 \tan{\left(\frac{x}{2} \right)}}}} 
                        /  1         sec(x)  \       
                        |------ + -----------|*log(2)
                        |sec(x)      /    pi\|       
         2 + x          |         sec|x - --||       
        e               \            \    2 //       
--------------------- + -----------------------------
    _________________              2*log(x)          
   /        /    pi\                                 
3 /  x + sec|x - --|                                 
\/          \    2 /
(sec⁡(x)sec⁡(x−π2)+1sec⁡(x))log⁡(2)2log⁡(x)+ex+2x+sec⁡(x−π2)3\frac{\left(\frac{\sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}} + \frac{1}{\sec{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \sec{\left(x - \frac{\pi}{2} \right)}}} 
                            /sin(x)         \       
                            |------ + cos(x)|*log(2)
cosh(2 + x) + sinh(2 + x)   \cos(x)         /       
------------------------- + ------------------------
         ____________               2*log(x)        
        /       1                                   
     3 /  x + ------                                
     \/       sin(x)
(sin⁡(x)cos⁡(x)+cos⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+1sin⁡(x)3\frac{\left(\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \cos{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
                            /                 /pi    \\       
                            |              csc|-- - x||       
                            |     1           \2     /|       
                            |----------- + -----------|*log(2)
                            |   /pi    \      csc(x)  |       
                            |csc|-- - x|              |       
cosh(2 + x) + sinh(2 + x)   \   \2     /              /       
------------------------- + ----------------------------------
      3 ____________                     2*log(x)             
      \/ x + csc(x)
(1csc⁡(−x+π2)+csc⁡(−x+π2)csc⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+csc⁡(x)3\frac{\left(\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}} + \frac{\csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \csc{\left(x \right)}}} 
                 /  1      sec(x)\       
     2 + x       |------ + ------|*log(2)
    e            \sec(x)   csc(x)/       
-------------- + ------------------------
3 ____________           2*log(x)        
\/ x + csc(x)
(1sec⁡(x)+sec⁡(x)csc⁡(x))log⁡(2)2log⁡(x)+ex+2x+csc⁡(x)3\frac{\left(\frac{1}{\sec{\left(x \right)}} + \frac{\sec{\left(x \right)}}{\csc{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \csc{\left(x \right)}}} 
                            /                 2/x\\       
                            |         -1 + cot |-||       
                            |  1               \2/|       
                            |------ + ------------|*log(2)
                            |cot(x)          2/x\ |       
                            |         1 + cot |-| |       
cosh(2 + x) + sinh(2 + x)   \                 \2/ /       
------------------------- + ------------------------------
        _________________              2*log(x)           
       /            2/x\                                  
      /      1 + cot |-|                                  
     /               \2/                                  
    /    x + -----------                                  
   /                /x\                                   
3 /            2*cot|-|                                   
\/                  \2/
(cot⁡2(x2)−1cot⁡2(x2)+1+1cot⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+cot⁡2(x2)+12cot⁡(x2)3\frac{\left(\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{1}{\cot{\left(x \right)}}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \frac{\cot^{2}{\left(\frac{x}{2} \right)} + 1}{2 \cot{\left(\frac{x}{2} \right)}}}} 
                            /     2            \       
                            |2*sin (x)         |       
                            |--------- + cos(x)|*log(2)
cosh(2 + x) + sinh(2 + x)   \ sin(2*x)         /       
------------------------- + ---------------------------
         ____________                 2*log(x)         
        /       1                                      
     3 /  x + ------                                   
     \/       sin(x)
(2sin⁡2(x)sin⁡(2x)+cos⁡(x))log⁡(2)2log⁡(x)+sinh⁡(x+2)+cosh⁡(x+2)x+1sin⁡(x)3\frac{\left(\frac{2 \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}} + \cos{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{\sinh{\left(x + 2 \right)} + \cosh{\left(x + 2 \right)}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
(cosh(2 + x) + sinh(2 + x))/(x + 1/sin(x))^(1/3) + (2*sin(x)^2/sin(2*x) + cos(x))*log(2)/(2*log(x))
Denominador común [src] 
    ____________                     ____________                               
   /       1                        /       1                        2  x       
3 /  x + ------ *cos(x)*log(2) + 3 /  x + ------ *log(2)*tan(x) + 2*e *e *log(x)
\/       sin(x)                  \/       sin(x)                                
--------------------------------------------------------------------------------
                                 ____________                                   
                                /       1                                       
                           2*3 /  x + ------ *log(x)                            
                             \/       sin(x)
x+1sin⁡(x)3log⁡(2)cos⁡(x)+x+1sin⁡(x)3log⁡(2)tan⁡(x)+2e2exlog⁡(x)2x+1sin⁡(x)3log⁡(x)\frac{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(2 \right)} \cos{\left(x \right)} + \sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(2 \right)} \tan{\left(x \right)} + 2 e^{2} e^{x} \log{\left(x \right)}}{2 \sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}} \log{\left(x \right)}} 
((x + 1/sin(x))^(1/3)*cos(x)*log(2) + (x + 1/sin(x))^(1/3)*log(2)*tan(x) + 2*exp(2)*exp(x)*log(x))/(2*(x + 1/sin(x))^(1/3)*log(x))
Potencias [src] 
      2 + x                                
     e             (cos(x) + tan(x))*log(2)
---------------- + ------------------------
    ____________           2*log(x)        
   /       1                               
3 /  x + ------                            
\/       sin(x)
(cos⁡(x)+tan⁡(x))log⁡(2)2log⁡(x)+ex+2x+1sin⁡(x)3\frac{\left(\cos{\left(x \right)} + \tan{\left(x \right)}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \frac{1}{\sin{\left(x \right)}}}} 
                            / I*x    -I*x     /   I*x    -I*x\\       
                            |e      e       I*\- e    + e    /|       
                            |---- + ----- + ------------------|*log(2)
           2 + x            | 2       2         I*x    -I*x   |       
          e                 \                  e    + e       /       
------------------------- + ------------------------------------------
     ____________________                    2*log(x)                 
    /          2*I                                                    
   /  x + --------------                                              
3 /          -I*x    I*x                                              
\/        - e     + e
(i(−eix+e−ix)eix+e−ix+eix2+e−ix2)log⁡(2)2log⁡(x)+ex+2x+2ieix−e−ix3\frac{\left(\frac{i \left(- e^{i x} + e^{- i x}\right)}{e^{i x} + e^{- i x}} + \frac{e^{i x}}{2} + \frac{e^{- i x}}{2}\right) \log{\left(2 \right)}}{2 \log{\left(x \right)}} + \frac{e^{x + 2}}{\sqrt[3]{x + \frac{2 i}{e^{i x} - e^{- i x}}}} 
exp(2 + x)/(x + 2*i/(-exp(-i*x) + exp(i*x)))^(1/3) + (exp(i*x)/2 + exp(-i*x)/2 + i*(-exp(i*x) + exp(-i*x))/(exp(i*x) + exp(-i*x)))*log(2)/(2*log(x))
    © Sr Examen – Калькулятор