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(z/b-b/z)*6*z*b/(z+b)
c^(k+5)*c^k/(c^2)^k
((z+2)/(2*z+4))+((2*z+1)/(3*z-4))
21/(3*a-a^2)-7/(a)
Factorizar el polinomio:
y^3-2*y^2*z-4*y*z+8*z^2
y^3-100
y^3+2*y^2*x^2-2*x^2
z^2+8*z+41
Descomponer al cuadrado:
-y^4+8*y^2+2
y^4+8*y^2-3
-y^4+8*y^2+14
y^4+8*y^2-1
Expresiones idénticas
cos(x)^atan(x)*(log(cos(x))/(uno +x^ dos)-atan(x)*sin(x)/cos(x))
coseno de (x) en el grado arco tangente de gente de (x) multiplicar por ( logaritmo de ( coseno de (x)) dividir por (1 más x al cuadrado ) menos arco tangente de gente de (x) multiplicar por seno de (x) dividir por coseno de (x))
coseno de (x) en el grado arco tangente de gente de (x) multiplicar por ( logaritmo de ( coseno de (x)) dividir por (uno más x en el grado dos) menos arco tangente de gente de (x) multiplicar por seno de (x) dividir por coseno de (x))
cos(x)atan(x)*(log(cos(x))/(1+x2)-atan(x)*sin(x)/cos(x))
cosxatanx*logcosx/1+x2-atanx*sinx/cosx
cos(x)^atan(x)*(log(cos(x))/(1+x²)-atan(x)*sin(x)/cos(x))
cos(x) en el grado atan(x)*(log(cos(x))/(1+x en el grado 2)-atan(x)*sin(x)/cos(x))
cos(x)^atan(x)(log(cos(x))/(1+x^2)-atan(x)sin(x)/cos(x))
cos(x)atan(x)(log(cos(x))/(1+x2)-atan(x)sin(x)/cos(x))
cosxatanxlogcosx/1+x2-atanxsinx/cosx
cosx^atanxlogcosx/1+x^2-atanxsinx/cosx
cos(x)^atan(x)*(log(cos(x)) dividir por (1+x^2)-atan(x)*sin(x) dividir por cos(x))
Expresiones semejantes
cos(x)^atan(x)*(log(cos(x))/(1+x^2)+atan(x)*sin(x)/cos(x))
cos(x)^atan(x)*(log(cos(x))/(1-x^2)-atan(x)*sin(x)/cos(x))
cos(x)^arctan(x)*(log(cos(x))/(1+x^2)-arctan(x)*sin(x)/cos(x))
cosx^arctanx*(log(cosx)/(1+x^2)-arctanx*sinx/cosx)
Expresiones con funciones
Coseno cos
cos(3*pi/(2+a))/sin(a)
cos(2*t)*x/(cos(t)+sin(x))-cos(t)
cos(x)/(cos(x+pi/6))
cos(x-pi/2)^(2)*cot(x+pi/2)^(2)/(cos(x+pi/2)+cot(x-pi/2)*cot(x-pi/2)-cos(x+pi/2))
cos(x)^atan(x+pi/4)*(log(cos(x))/(1+(x+pi/4)^2)-atan(x+pi/4)*sin(x)/cos(x))
Arcotangente arctan
atan(x)+x/(1+x^2)-1/(x+1)-atan(x)/(x^2+1)
atan((4*x-2)/(2*sqrt(5)))/sqrt(5)
atan(2*x)/x+2*log(x)/(1+4*x^2)
atan((2*x+4)/(2*sqrt(3)))/sqrt(3)
atan((2*x-2*l)/(2*a))/a
Logaritmo log
log(x+1)/4+(3*log(x-1))/4+3/(2+2*x)
log(sqrt(x))/sqrt(1-x^2)+asin(x)/(2*x)
log(x)^(3/(x+3))*log(x)^2*log(x/4)/x
log(x^2+6*x+4)/2-(3*log((2*x-2*sqrt(5)+6)/(2*x+2*sqrt(5)+6)))/(2*sqrt(5))
log(x^2+3)/8-(3*log(x+1))/8+atan(x/sqrt(3))/(2*sqrt(3))+log(x-1)/8
Coseno cos
cos(3*pi/(2+a))/sin(a)
cos(2*t)*x/(cos(t)+sin(x))-cos(t)
cos(x)/(cos(x+pi/6))
cos(x-pi/2)^(2)*cot(x+pi/2)^(2)/(cos(x+pi/2)+cot(x-pi/2)*cot(x-pi/2)-cos(x+pi/2))
cos(x)^atan(x+pi/4)*(log(cos(x))/(1+(x+pi/4)^2)-atan(x+pi/4)*sin(x)/cos(x))
Arcotangente arctan
atan(x)+x/(1+x^2)-1/(x+1)-atan(x)/(x^2+1)
atan((4*x-2)/(2*sqrt(5)))/sqrt(5)
atan(2*x)/x+2*log(x)/(1+4*x^2)
atan((2*x+4)/(2*sqrt(3)))/sqrt(3)
atan((2*x-2*l)/(2*a))/a
Seno sin
sin(x+y)/((sin(x)*sin(y)))
sin(x)*(sin(x)/(1-cos(x))-1/tan(x))
sin(x+y)/(cosx*cosy)+tgy
sin*(x)/(cos(x)-1)
sin(x)-cos(3*pi/(2-x))+cot(3*pi/(2+x))+cot(x)
Coseno cos
cos(3*pi/(2+a))/sin(a)
cos(2*t)*x/(cos(t)+sin(x))-cos(t)
cos(x)/(cos(x+pi/6))
cos(x-pi/2)^(2)*cot(x+pi/2)^(2)/(cos(x+pi/2)+cot(x-pi/2)*cot(x-pi/2)-cos(x+pi/2))
cos(x)^atan(x+pi/4)*(log(cos(x))/(1+(x+pi/4)^2)-atan(x+pi/4)*sin(x)/cos(x))

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

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

Solución

Ha introducido [src]

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

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

cos(x)^atan(x)*(log(cos(x))/(1 + x^2) - atan(x)*sin(x)/cos(x))

Simplificación general [src]

   -1 + atan(x)    /                     /     2\               \
cos            (x)*\cos(x)*log(cos(x)) - \1 + x /*atan(x)*sin(x)/
-----------------------------------------------------------------
                                   2                             
                              1 + x

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

cos(x)^(-1 + atan(x))*(cos(x)*log(cos(x)) - (1 + x^2)*atan(x)*sin(x))/(1 + x^2)

Respuesta numérica [src]

cos(x)^atan(x)*(log(cos(x))/(1.0 + x^2) - atan(x)*sin(x)/cos(x))

cos(x)^atan(x)*(log(cos(x))/(1.0 + x^2) - atan(x)*sin(x)/cos(x))

Unión de expresiones racionales [src]

   atan(x)    /                     /     2\               \
cos       (x)*\cos(x)*log(cos(x)) - \1 + x /*atan(x)*sin(x)/
------------------------------------------------------------
                      /     2\                              
                      \1 + x /*cos(x)

cos(x)^atan(x)*(cos(x)*log(cos(x)) - (1 + x^2)*atan(x)*sin(x))/((1 + x^2)*cos(x))

Denominador común [src]

 /   atan(x)                        atan(x)                          2    atan(x)                  \ 
-\cos       (x)*atan(x)*sin(x) - cos       (x)*cos(x)*log(cos(x)) + x *cos       (x)*atan(x)*sin(x)/ 
-----------------------------------------------------------------------------------------------------
                                           2                                                         
                                          x *cos(x) + cos(x)

$$- \frac{x^{2} \sin{\left(x \right)} \cos^{\operatorname{atan}{\left(x \right)}}{\left(x \right)} \operatorname{atan}{\left(x \right)} - \log{\left(\cos{\left(x \right)} \right)} \cos{\left(x \right)} \cos^{\operatorname{atan}{\left(x \right)}}{\left(x \right)} + \sin{\left(x \right)} \cos^{\operatorname{atan}{\left(x \right)}}{\left(x \right)} \operatorname{atan}{\left(x \right)}}{x^{2} \cos{\left(x \right)} + \cos{\left(x \right)}}$$

-(cos(x)^atan(x)*atan(x)*sin(x) - cos(x)^atan(x)*cos(x)*log(cos(x)) + x^2*cos(x)^atan(x)*atan(x)*sin(x))/(x^2*cos(x) + cos(x))

Denominador racional [src]

   atan(x)    /                     /     2\               \
cos       (x)*\cos(x)*log(cos(x)) - \1 + x /*atan(x)*sin(x)/
------------------------------------------------------------
                      /     2\                              
                      \1 + x /*cos(x)

cos(x)^atan(x)*(cos(x)*log(cos(x)) - (1 + x^2)*atan(x)*sin(x))/((1 + x^2)*cos(x))

Potencias [src]

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

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

(exp(i*x)/2 + exp(-i*x)/2)^atan(x)*(log(exp(i*x)/2 + exp(-i*x)/2)/(1 + x^2) + i*(-exp(-i*x) + exp(i*x))*atan(x)/(2*(exp(i*x)/2 + exp(-i*x)/2)))

Combinatoria [src]

    atan(x)    /                                       2               \ 
-cos       (x)*\atan(x)*sin(x) - cos(x)*log(cos(x)) + x *atan(x)*sin(x)/ 
-------------------------------------------------------------------------
                             /     2\                                    
                             \1 + x /*cos(x)

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

-cos(x)^atan(x)*(atan(x)*sin(x) - cos(x)*log(cos(x)) + x^2*atan(x)*sin(x))/((1 + x^2)*cos(x))

Abrimos la expresión [src]

   atan(x)                     atan(x)                  
cos       (x)*log(cos(x))   cos       (x)*atan(x)*sin(x)
------------------------- - ----------------------------
               2                       cos(x)           
          1 + x

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

cos(x)^atan(x)*log(cos(x))/(1 + x^2) - cos(x)^atan(x)*atan(x)*sin(x)/cos(x)

Parte trigonométrica [src]

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

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

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

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

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

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

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

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

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

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

   atan(x)    /log(cos(x))                 \
cos       (x)*|----------- - atan(x)*tan(x)|
              |        2                   |
              \   1 + x                    /

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

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

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

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

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

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

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

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

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

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

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

(1/csc(pi/2 - x))^atan(x)*(log(1/csc(pi/2 - x))/(1 + x^2) - atan(x)*csc(pi/2 - x)/csc(x))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

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

Solución

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