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¿cómo vas a descomponer esta expresión en fracciones?:
(z^2-4*z+16)/(16*z^2-1)*(4*z^2+z)/(z^3+64)-(z+4)/(4*z^2-z)/7/(z^2+4*z)-(20*z+13)/(7-28*z)
y/(y-3)+3/(3-y)
((z^2-z)/(z^2-9))^-1/((z^2-3*z)/(z-1))
(a^(7*a))^2/(-a)^15
Factorizar el polinomio:
y^x*y^3-y-1+y^x*y
y^8-1
y^4+y^3
y^3-x*y^2+y-x
Descomponer al cuadrado:
y^4-8*y^2-9
-y^4-8*y^2+7
-y^4+8*y^2+3
y^4-9*y^2+15
Expresiones idénticas
tan(x^ dos)/(x*log(dos))-x/(sqrt(x^ dos)*sqrt(uno -x^ dos))+ dos *x*(uno +tan(x^ dos)^ dos)*log(x)/log(dos)
tangente de (x al cuadrado ) dividir por (x multiplicar por logaritmo de (2)) menos x dividir por ( raíz cuadrada de (x al cuadrado ) multiplicar por raíz cuadrada de (1 menos x al cuadrado )) más 2 multiplicar por x multiplicar por (1 más tangente de (x al cuadrado ) al cuadrado ) multiplicar por logaritmo de (x) dividir por logaritmo de (2)
tangente de (x en el grado dos) dividir por (x multiplicar por logaritmo de (dos)) menos x dividir por ( raíz cuadrada de (x en el grado dos) multiplicar por raíz cuadrada de (uno menos x en el grado dos)) más dos multiplicar por x multiplicar por (uno más tangente de (x en el grado dos) en el grado dos) multiplicar por logaritmo de (x) dividir por logaritmo de (dos)
tan(x^2)/(x*log(2))-x/(√(x^2)*√(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x2)/(x*log(2))-x/(sqrt(x2)*sqrt(1-x2))+2*x*(1+tan(x2)2)*log(x)/log(2)
tanx2/x*log2-x/sqrtx2*sqrt1-x2+2*x*1+tanx22*logx/log2
tan(x²)/(x*log(2))-x/(sqrt(x²)*sqrt(1-x²))+2*x*(1+tan(x²)²)*log(x)/log(2)
tan(x en el grado 2)/(x*log(2))-x/(sqrt(x en el grado 2)*sqrt(1-x en el grado 2))+2*x*(1+tan(x en el grado 2) en el grado 2)*log(x)/log(2)
tan(x^2)/(xlog(2))-x/(sqrt(x^2)sqrt(1-x^2))+2x(1+tan(x^2)^2)log(x)/log(2)
tan(x2)/(xlog(2))-x/(sqrt(x2)sqrt(1-x2))+2x(1+tan(x2)2)log(x)/log(2)
tanx2/xlog2-x/sqrtx2sqrt1-x2+2x1+tanx22logx/log2
tanx^2/xlog2-x/sqrtx^2sqrt1-x^2+2x1+tanx^2^2logx/log2
tan(x^2) dividir por (x*log(2))-x dividir por (sqrt(x^2)*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x) dividir por log(2)
Expresiones semejantes
tan(x^2)/(x*log(2))-x/(sqrt(x^2)*sqrt(1-x^2))+2*x*(1-tan(x^2)^2)*log(x)/log(2)
tan(x^2)/(x*log(2))+x/(sqrt(x^2)*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x^2)/(x*log(2))-x/(sqrt(x^2)*sqrt(1-x^2))-2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x^2)/(x*log(2))-x/(sqrt(x^2)*sqrt(1+x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
Expresiones con funciones
Tangente tan
tan(x)/(2*tan(x)^2+2)+x/2
tan(x)/(2*tan(x)^2+2)+tan(x)-(3*x)/2
tan(t)/(1-tan(t)^(2))+cot(t)/(1-cot(t)^(2))
tan(x/4+pi/8)/2-1/(2*tan(x/4+pi/8))
tan(x)/(1-tan(x)^(2))+cot(x)/(1-cot(x)^(2))
Logaritmo log
log(z)*(-2)+2*c^i*2*z-1/(2*z^2)+cos(2*z)/((2*z^2))-sin(2*z)/z+log(z^2)
log(x)^sin(x)*(cos(x)*log(log(x))+sin(x)/(x*log(x)))
log(x-5*x^2)/(2*sqrt(x+2))+sqrt(x+2)*(1-10*x)/(x-5*x^2)
log(x)/log(5)/5*((x+exp(-x)*x)^(1/5))+(x+5)/(2*sin(x)+x)
log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)
Raíz cuadrada sqrt
sqrt((x^2+10^8)/(1+25*x^2))
sqrt((49)/(169^x^196))
sqrt(x/(x+1))*(x+1)*(1/(2*(x+1))-x/(2*(x+1)^2))/(x*sqrt(1-x/(x+1)))
sqrt(x)*exp(x/2)/2+exp(x/2)/(2*sqrt(x))
sqrt(x^3*cos(x))*(-x^3*sin(x)/2+3*x^2*cos(x)/2)/(x^3*cos(x))
Raíz cuadrada sqrt
sqrt((x^2+10^8)/(1+25*x^2))
sqrt((49)/(169^x^196))
sqrt(x/(x+1))*(x+1)*(1/(2*(x+1))-x/(2*(x+1)^2))/(x*sqrt(1-x/(x+1)))
sqrt(x)*exp(x/2)/2+exp(x/2)/(2*sqrt(x))
sqrt(x^3*cos(x))*(-x^3*sin(x)/2+3*x^2*cos(x)/2)/(x^3*cos(x))
Tangente tan
tan(x)/(2*tan(x)^2+2)+x/2
tan(x)/(2*tan(x)^2+2)+tan(x)-(3*x)/2
tan(t)/(1-tan(t)^(2))+cot(t)/(1-cot(t)^(2))
tan(x/4+pi/8)/2-1/(2*tan(x/4+pi/8))
tan(x)/(1-tan(x)^(2))+cot(x)/(1-cot(x)^(2))
Logaritmo log
log(z)*(-2)+2*c^i*2*z-1/(2*z^2)+cos(2*z)/((2*z^2))-sin(2*z)/z+log(z^2)
log(x)^sin(x)*(cos(x)*log(log(x))+sin(x)/(x*log(x)))
log(x-5*x^2)/(2*sqrt(x+2))+sqrt(x+2)*(1-10*x)/(x-5*x^2)
log(x)/log(5)/5*((x+exp(-x)*x)^(1/5))+(x+5)/(2*sin(x)+x)
log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)
Logaritmo log
log(z)*(-2)+2*c^i*2*z-1/(2*z^2)+cos(2*z)/((2*z^2))-sin(2*z)/z+log(z^2)
log(x)^sin(x)*(cos(x)*log(log(x))+sin(x)/(x*log(x)))
log(x-5*x^2)/(2*sqrt(x+2))+sqrt(x+2)*(1-10*x)/(x-5*x^2)
log(x)/log(5)/5*((x+exp(-x)*x)^(1/5))+(x+5)/(2*sin(x)+x)
log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)

Simplificación de expresiones/ Descomposición en fracciones simples/ tan(x^2)/(x*log(2))-x/(sqrt(x^2)*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)

¿Cómo vas a descomponer esta tan(x^2)/(xlog(2))-x/(sqrt(x^2)sqrt(1-x^2))+2x(1+tan(x^2)^2)*log(x)/log(2) expresión en fracciones?

Solución

Ha introducido [src]

   / 2\                              /       2/ 2\\       
tan\x /             x            2*x*\1 + tan \x //*log(x)
-------- - ------------------- + -------------------------
x*log(2)      ____    ________             log(2)         
             /  2    /      2                             
           \/  x  *\/  1 - x

\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} + \left(- \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}\right)

tan(x^2)/((x*log(2))) - x/(sqrt(x^2)*sqrt(1 - x^2)) + (((2*x)*(1 + tan(x^2)^2))*log(x))/log(2)

Simplificación general [src]

   / 2\                                         
tan\x /             x               2*x*log(x)  
-------- - ------------------- + ---------------
x*log(2)      ____    ________      2/ 2\       
             /  2    /      2    cos \x /*log(2)
           \/  x  *\/  1 - x

\frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)} \cos^{2}{\left(x^{2} \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

tan(x^2)/(x*log(2)) - x/(sqrt(x^2)*sqrt(1 - x^2)) + 2*x*log(x)/(cos(x^2)^2*log(2))

Denominador común [src]

 /               ____    ________                   ____    ________                  ____    ________                \ 
 | 2            /  2    /      2     / 2\      2   /  2    /      2              2   /  2    /      2     2/ 2\       | 
-\x *log(2) - \/  x  *\/  1 - x  *tan\x / - 2*x *\/  x  *\/  1 - x  *log(x) - 2*x *\/  x  *\/  1 - x  *tan \x /*log(x)/ 
------------------------------------------------------------------------------------------------------------------------
                                                   ____    ________                                                     
                                                  /  2    /      2                                                      
                                              x*\/  x  *\/  1 - x  *log(2)

- \frac{- 2 x^{2} \sqrt{1 - x^{2}} \sqrt{x^{2}} \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)} - 2 x^{2} \sqrt{1 - x^{2}} \sqrt{x^{2}} \log{\left(x \right)} + x^{2} \log{\left(2 \right)} - \sqrt{1 - x^{2}} \sqrt{x^{2}} \tan{\left(x^{2} \right)}}{x \sqrt{1 - x^{2}} \sqrt{x^{2}} \log{\left(2 \right)}}

-(x^2*log(2) - sqrt(x^2)*sqrt(1 - x^2)*tan(x^2) - 2*x^2*sqrt(x^2)*sqrt(1 - x^2)*log(x) - 2*x^2*sqrt(x^2)*sqrt(1 - x^2)*tan(x^2)^2*log(x))/(x*sqrt(x^2)*sqrt(1 - x^2)*log(2))

Respuesta numérica [src]

1.44269504088896*tan(x^2)/x - x*(x^2)^(-0.5)*(1.0 - x^2)^(-0.5) + 2.88539008177793*x*(1.0 + tan(x^2)^2)*log(x)

1.44269504088896*tan(x^2)/x - x*(x^2)^(-0.5)*(1.0 - x^2)^(-0.5) + 2.88539008177793*x*(1.0 + tan(x^2)^2)*log(x)

Denominador racional [src]

                                                                                        ____    ________                                                                    
 4           / 2\    2           / 2\      4                    6                  2   /  2    /      2     2         4    2/ 2\                    6    2/ 2\              
x *log(2)*tan\x / - x *log(2)*tan\x / - 2*x *log(2)*log(x) + 2*x *log(2)*log(x) + x *\/  x  *\/  1 - x  *log (2) - 2*x *tan \x /*log(2)*log(x) + 2*x *tan \x /*log(2)*log(x)
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                             3 /      2\    2                                                                               
                                                                            x *\-1 + x /*log (2)

\frac{2 x^{6} \log{\left(2 \right)} \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)} + 2 x^{6} \log{\left(2 \right)} \log{\left(x \right)} - 2 x^{4} \log{\left(2 \right)} \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)} - 2 x^{4} \log{\left(2 \right)} \log{\left(x \right)} + x^{4} \log{\left(2 \right)} \tan{\left(x^{2} \right)} + x^{2} \sqrt{1 - x^{2}} \sqrt{x^{2}} \log{\left(2 \right)}^{2} - x^{2} \log{\left(2 \right)} \tan{\left(x^{2} \right)}}{x^{3} \left(x^{2} - 1\right) \log{\left(2 \right)}^{2}}

(x^4*log(2)*tan(x^2) - x^2*log(2)*tan(x^2) - 2*x^4*log(2)*log(x) + 2*x^6*log(2)*log(x) + x^2*sqrt(x^2)*sqrt(1 - x^2)*log(2)^2 - 2*x^4*tan(x^2)^2*log(2)*log(x) + 2*x^6*tan(x^2)^2*log(2)*log(x))/(x^3*(-1 + x^2)*log(2)^2)

Combinatoria [src]

 /               ____    ________                   ____    ________                  ____    ________                \ 
 | 2            /  2    /      2     / 2\      2   /  2    /      2              2   /  2    /      2     2/ 2\       | 
-\x *log(2) - \/  x  *\/  1 - x  *tan\x / - 2*x *\/  x  *\/  1 - x  *log(x) - 2*x *\/  x  *\/  1 - x  *tan \x /*log(x)/ 
------------------------------------------------------------------------------------------------------------------------
                                              ____                                                                      
                                             /  2    ___________________                                                
                                         x*\/  x  *\/ -(1 + x)*(-1 + x) *log(2)

- \frac{- 2 x^{2} \sqrt{1 - x^{2}} \sqrt{x^{2}} \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)} - 2 x^{2} \sqrt{1 - x^{2}} \sqrt{x^{2}} \log{\left(x \right)} + x^{2} \log{\left(2 \right)} - \sqrt{1 - x^{2}} \sqrt{x^{2}} \tan{\left(x^{2} \right)}}{x \sqrt{- \left(x - 1\right) \left(x + 1\right)} \sqrt{x^{2}} \log{\left(2 \right)}}

-(x^2*log(2) - sqrt(x^2)*sqrt(1 - x^2)*tan(x^2) - 2*x^2*sqrt(x^2)*sqrt(1 - x^2)*log(x) - 2*x^2*sqrt(x^2)*sqrt(1 - x^2)*tan(x^2)^2*log(x))/(x*sqrt(x^2)*sqrt(-(1 + x)*(-1 + x))*log(2))

Abrimos la expresión [src]

    /       2/ 2\\             / 2\                       
2*x*\1 + tan \x //*log(x)   tan\x /             x         
------------------------- + -------- - -------------------
          log(2)            x*log(2)      ____    ________
                                         /  2    /      2 
                                       \/  x  *\/  1 - x

- \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

   / 2\                                              2/ 2\       
tan\x /             x            2*x*log(x)   2*x*tan \x /*log(x)
-------- - ------------------- + ---------- + -------------------
x*log(2)      ____    ________     log(2)            log(2)      
             /  2    /      2                                    
           \/  x  *\/  1 - x

\frac{2 x \log{\left(x \right)} \tan^{2}{\left(x^{2} \right)}}{\log{\left(2 \right)}} + \frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

tan(x^2)/(x*log(2)) - x/(sqrt(x^2)*sqrt(1 - x^2)) + 2*x*log(x)/log(2) + 2*x*tan(x^2)^2*log(x)/log(2)

Compilar la expresión [src]

   / 2\                              /       2/ 2\\       
tan\x /             x            2*x*\1 + tan \x //*log(x)
-------- - ------------------- + -------------------------
x*log(2)      ____    ________             log(2)         
             /  2    /      2                             
           \/  x  *\/  1 - x

\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

tan(x^2)/(x*log(2)) - x/(sqrt(x^2)*sqrt(1 - x^2)) + 2*x*(1 + tan(x^2)^2)*log(x)/log(2)

Parte trigonométrica [src]

   / 2\                                         
tan\x /             x               2*x*log(x)  
-------- - ------------------- + ---------------
x*log(2)      ____    ________      2/ 2\       
             /  2    /      2    cos \x /*log(2)
           \/  x  *\/  1 - x

\frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)} \cos^{2}{\left(x^{2} \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

                                  / 2\                 2/ 2\       
           x                   sec\x /          2*x*sec \x /*log(x)
- ------------------- + --------------------- + -------------------
     ____    ________               / 2   pi\          log(2)      
    /  2    /      2    x*log(2)*sec|x  - --|                      
  \/  x  *\/  1 - x                 \     2 /

\frac{2 x \log{\left(x \right)} \sec^{2}{\left(x^{2} \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\sec{\left(x^{2} \right)}}{x \log{\left(2 \right)} \sec{\left(x^{2} - \frac{\pi}{2} \right)}}

                             / 2   pi\                    
                          cos|x  - --|                    
           x                 \     2 /        2*x*log(x)  
- ------------------- + ---------------- + ---------------
     ____    ________        / 2\             2/ 2\       
    /  2    /      2    x*cos\x /*log(2)   cos \x /*log(2)
  \/  x  *\/  1 - x

\frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)} \cos^{2}{\left(x^{2} \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\cos{\left(x^{2} - \frac{\pi}{2} \right)}}{x \log{\left(2 \right)} \cos{\left(x^{2} \right)}}

                                             /       1    \       
                                         2*x*|1 + --------|*log(x)
                                             |       2/ 2\|       
       1                    x                \    cot \x //       
---------------- - ------------------- + -------------------------
     / 2\             ____    ________             log(2)         
x*cot\x /*log(2)     /  2    /      2                             
                   \/  x  *\/  1 - x

\frac{2 x \left(1 + \frac{1}{\cot^{2}{\left(x^{2} \right)}}\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{1}{x \log{\left(2 \right)} \cot{\left(x^{2} \right)}}

                                                        2/ 2\    
           x                 2*x*log(x)            2*sin \x /    
- ------------------- + -------------------- + ------------------
     ____    ________             2/ 2   pi\               /   2\
    /  2    /      2    log(2)*sin |x  + --|   x*log(2)*sin\2*x /
  \/  x  *\/  1 - x                \     2 /

\frac{2 x \log{\left(x \right)}}{\log{\left(2 \right)} \sin^{2}{\left(x^{2} + \frac{\pi}{2} \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{2 \sin^{2}{\left(x^{2} \right)}}{x \log{\left(2 \right)} \sin{\left(2 x^{2} \right)}}

                                               /       2/ 2\\       
                                               |    sin \x /|       
                                           2*x*|1 + --------|*log(x)
                               / 2\            |       2/ 2\|       
           x                sin\x /            \    cos \x //       
- ------------------- + ---------------- + -------------------------
     ____    ________        / 2\                    log(2)         
    /  2    /      2    x*cos\x /*log(2)                            
  \/  x  *\/  1 - x

\frac{2 x \left(\frac{\sin^{2}{\left(x^{2} \right)}}{\cos^{2}{\left(x^{2} \right)}} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\sin{\left(x^{2} \right)}}{x \log{\left(2 \right)} \cos{\left(x^{2} \right)}}

                                                           2       
                                             /        / 2\\        
                                             |       2|x ||        
                                         2*x*|1 + cot |--|| *log(x)
       1                    x                \        \2 //        
---------------- - ------------------- + --------------------------
     / 2\             ____    ________                   2         
x*cot\x /*log(2)     /  2    /      2     /         / 2\\          
                   \/  x  *\/  1 - x      |        2|x ||          
                                          |-1 + cot |--|| *log(2)  
                                          \         \2 //

\frac{2 x \left(\cot^{2}{\left(\frac{x^{2}}{2} \right)} + 1\right)^{2} \log{\left(x \right)}}{\left(\cot^{2}{\left(\frac{x^{2}}{2} \right)} - 1\right)^{2} \log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{1}{x \log{\left(2 \right)} \cot{\left(x^{2} \right)}}

                             /pi    2\            2/pi    2\       
                          csc|-- - x |     2*x*csc |-- - x |*log(x)
           x                 \2      /             \2      /       
- ------------------- + ---------------- + ------------------------
     ____    ________        / 2\                   log(2)         
    /  2    /      2    x*csc\x /*log(2)                           
  \/  x  *\/  1 - x

\frac{2 x \log{\left(x \right)} \csc^{2}{\left(- x^{2} + \frac{\pi}{2} \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\csc{\left(- x^{2} + \frac{\pi}{2} \right)}}{x \log{\left(2 \right)} \csc{\left(x^{2} \right)}}

                                                   2       
                                     /        / 2\\        
                                     |       2|x ||        
   / 2\                          2*x*|1 + tan |--|| *log(x)
tan\x /             x                \        \2 //        
-------- - ------------------- + --------------------------
x*log(2)      ____    ________                   2         
             /  2    /      2      /        / 2\\          
           \/  x  *\/  1 - x       |       2|x ||          
                                   |1 - tan |--|| *log(2)  
                                   \        \2 //

\frac{2 x \left(\tan^{2}{\left(\frac{x^{2}}{2} \right)} + 1\right)^{2} \log{\left(x \right)}}{\left(1 - \tan^{2}{\left(\frac{x^{2}}{2} \right)}\right)^{2} \log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

                            /         4/ 2\\                            
                            |    4*sin \x /|                            
                        2*x*|1 + ----------|*log(x)                     
                            |       2/   2\|                   2/ 2\    
           x                \    sin \2*x //              2*sin \x /    
- ------------------- + --------------------------- + ------------------
     ____    ________              log(2)                         /   2\
    /  2    /      2                                  x*log(2)*sin\2*x /
  \/  x  *\/  1 - x

\frac{2 x \left(\frac{4 \sin^{4}{\left(x^{2} \right)}}{\sin^{2}{\left(2 x^{2} \right)}} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{2 \sin^{2}{\left(x^{2} \right)}}{x \log{\left(2 \right)} \sin{\left(2 x^{2} \right)}}

                                               /       2/ 2\\       
                                               |    sec \x /|       
                                           2*x*|1 + --------|*log(x)
                               / 2\            |       2/ 2\|       
           x                sec\x /            \    csc \x //       
- ------------------- + ---------------- + -------------------------
     ____    ________        / 2\                    log(2)         
    /  2    /      2    x*csc\x /*log(2)                            
  \/  x  *\/  1 - x

\frac{2 x \left(1 + \frac{\sec^{2}{\left(x^{2} \right)}}{\csc^{2}{\left(x^{2} \right)}}\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\sec{\left(x^{2} \right)}}{x \log{\left(2 \right)} \csc{\left(x^{2} \right)}}

                                                    /          2/ 2\  \       
                                                    |       sec \x /  |       
                                                2*x*|1 + -------------|*log(x)
                                                    |       2/ 2   pi\|       
                                  / 2\              |    sec |x  - --||       
           x                   sec\x /              \        \     2 //       
- ------------------- + --------------------- + ------------------------------
     ____    ________               / 2   pi\               log(2)            
    /  2    /      2    x*log(2)*sec|x  - --|                                 
  \/  x  *\/  1 - x                 \     2 /

\frac{2 x \left(\frac{\sec^{2}{\left(x^{2} \right)}}{\sec^{2}{\left(x^{2} - \frac{\pi}{2} \right)}} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\sec{\left(x^{2} \right)}}{x \log{\left(2 \right)} \sec{\left(x^{2} - \frac{\pi}{2} \right)}}

   / 2\                                 2/ 2\       
tan\x /             x            2*x*sec \x /*log(x)
-------- - ------------------- + -------------------
x*log(2)      ____    ________          log(2)      
             /  2    /      2                       
           \/  x  *\/  1 - x

\frac{2 x \log{\left(x \right)} \sec^{2}{\left(x^{2} \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

                                               /       2/ 2   pi\\       
                                               |    cos |x  - --||       
                                               |        \     2 /|       
                             / 2   pi\     2*x*|1 + -------------|*log(x)
                          cos|x  - --|         |          2/ 2\  |       
           x                 \     2 /         \       cos \x /  /       
- ------------------- + ---------------- + ------------------------------
     ____    ________        / 2\                      log(2)            
    /  2    /      2    x*cos\x /*log(2)                                 
  \/  x  *\/  1 - x

\frac{2 x \left(1 + \frac{\cos^{2}{\left(x^{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(x^{2} \right)}}\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\cos{\left(x^{2} - \frac{\pi}{2} \right)}}{x \log{\left(2 \right)} \cos{\left(x^{2} \right)}}

                                               /       2/pi    2\\       
                                               |    csc |-- - x ||       
                                               |        \2      /|       
                             /pi    2\     2*x*|1 + -------------|*log(x)
                          csc|-- - x |         |          2/ 2\  |       
           x                 \2      /         \       csc \x /  /       
- ------------------- + ---------------- + ------------------------------
     ____    ________        / 2\                      log(2)            
    /  2    /      2    x*csc\x /*log(2)                                 
  \/  x  *\/  1 - x

\frac{2 x \left(1 + \frac{\csc^{2}{\left(- x^{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(x^{2} \right)}}\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\csc{\left(- x^{2} + \frac{\pi}{2} \right)}}{x \log{\left(2 \right)} \csc{\left(x^{2} \right)}}

   / 2\                              /       2/ 2\\       
tan\x /             x            2*x*\1 + tan \x //*log(x)
-------- - ------------------- + -------------------------
x*log(2)      ____    ________             log(2)         
             /  2    /      2                             
           \/  x  *\/  1 - x

\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

tan(x^2)/(x*log(2)) - x/(sqrt(x^2)*sqrt(1 - x^2)) + 2*x*(1 + tan(x^2)^2)*log(x)/log(2)

Potencias [src]

                        / 2\        /       2/ 2\\       
         x           tan\x /    2*x*\1 + tan \x //*log(x)
- ---------------- + -------- + -------------------------
     _____________   x*log(2)             log(2)         
    /  2 /     2\                                        
  \/  x *\1 - x /

\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{x^{2} \left(1 - x^{2}\right)}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

                            /                      2\                                   
                            |    /      2        2\ |                                   
                            |    |   I*x     -I*x | |                                   
                            |    \- e     + e     / |                                   
                        2*x*|1 - -------------------|*log(x)                            
                            |                     2 |                                   
                            |     /    2        2\  |               /      2        2\  
                            |     | I*x     -I*x |  |               |   I*x     -I*x |  
           x                \     \e     + e     /  /             I*\- e     + e     /  
- ------------------- + ------------------------------------ + -------------------------
     ____    ________                  log(2)                    /    2        2\       
    /  2    /      2                                             | I*x     -I*x |       
  \/  x  *\/  1 - x                                            x*\e     + e     /*log(2)

\frac{2 x \left(- \frac{\left(- e^{i x^{2}} + e^{- i x^{2}}\right)^{2}}{\left(e^{i x^{2}} + e^{- i x^{2}}\right)^{2}} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{i \left(- e^{i x^{2}} + e^{- i x^{2}}\right)}{x \left(e^{i x^{2}} + e^{- i x^{2}}\right) \log{\left(2 \right)}}

   / 2\                              /       2/ 2\\       
tan\x /             x            2*x*\1 + tan \x //*log(x)
-------- - ------------------- + -------------------------
x*log(2)      ____    ________             log(2)         
             /  2    /      2                             
           \/  x  *\/  1 - x

\frac{2 x \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{x}{\sqrt{1 - x^{2}} \sqrt{x^{2}}} + \frac{\tan{\left(x^{2} \right)}}{x \log{\left(2 \right)}}

tan(x^2)/(x*log(2)) - x/(sqrt(x^2)*sqrt(1 - x^2)) + 2*x*(1 + tan(x^2)^2)*log(x)/log(2)

Unión de expresiones racionales [src]

                 ____    ________                   ____    ________                      
   2            /  2    /      2     / 2\      2   /  2    /      2  /       2/ 2\\       
- x *log(2) + \/  x  *\/  1 - x  *tan\x / + 2*x *\/  x  *\/  1 - x  *\1 + tan \x //*log(x)
------------------------------------------------------------------------------------------
                                    ____    ________                                      
                                   /  2    /      2                                       
                               x*\/  x  *\/  1 - x  *log(2)

\frac{2 x^{2} \sqrt{1 - x^{2}} \left(\tan^{2}{\left(x^{2} \right)} + 1\right) \sqrt{x^{2}} \log{\left(x \right)} - x^{2} \log{\left(2 \right)} + \sqrt{1 - x^{2}} \sqrt{x^{2}} \tan{\left(x^{2} \right)}}{x \sqrt{1 - x^{2}} \sqrt{x^{2}} \log{\left(2 \right)}}

(-x^2*log(2) + sqrt(x^2)*sqrt(1 - x^2)*tan(x^2) + 2*x^2*sqrt(x^2)*sqrt(1 - x^2)*(1 + tan(x^2)^2)*log(x))/(x*sqrt(x^2)*sqrt(1 - x^2)*log(2))

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

Solución

¿Cómo vas a descomponer esta tan(x^2)/(xlog(2))-x/(sqrt(x^2)sqrt(1-x^2))+2x(1+tan(x^2)^2)*log(x)/log(2) expresión en fracciones?