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(y/(x*y-x^2)+x/(x*y-y^2))/(x^2+2*x*y+y^2)/(1/x+1/y)
(y/(x*y-x^2)+x/(x*y-y^2))/(((x^2+2*x*y+y^2)/(1/x+1/y)))
y/(y+2)+(1/(4-y^2)-1/(4-4*y+y^2))/2/(y-2)^2
y*(y+((1/(x+(x^2+y^2)^(1/2))*(1+(2*x/(2*(x^2+y^2)^(1/2)))))))
Factorizar el polinomio:
y^3-1/8
y^2+x*y-x^3+2*x^2-x*y^2+2*y^2
-y+a*y
y*x^2+x*z^2+z*y^2-y*z^2-x*y^2-z*x^2
Descomponer al cuadrado:
y^4+8*y^2-1
-y^4+7*y^2-4
y^4-8*y^2+1
y^4+8*y^2+1
Expresiones idénticas
atan(((dos *sin(dos *x))/(uno +cos(dos *x))+ dos)/ dos ^(cinco / dos))/ dos ^(tres / dos)
arco tangente de gente de (((2 multiplicar por seno de (2 multiplicar por x)) dividir por (1 más coseno de (2 multiplicar por x)) más 2) dividir por 2 en el grado (5 dividir por 2)) dividir por 2 en el grado (3 dividir por 2)
arco tangente de gente de (((dos multiplicar por seno de (dos multiplicar por x)) dividir por (uno más coseno de (dos multiplicar por x)) más dos) dividir por dos en el grado (cinco dividir por dos)) dividir por dos en el grado (tres dividir por dos)
atan(((2*sin(2*x))/(1+cos(2*x))+2)/2(5/2))/2(3/2)
atan2*sin2*x/1+cos2*x+2/25/2/23/2
atan(((2sin(2x))/(1+cos(2x))+2)/2^(5/2))/2^(3/2)
atan(((2sin(2x))/(1+cos(2x))+2)/2(5/2))/2(3/2)
atan2sin2x/1+cos2x+2/25/2/23/2
atan2sin2x/1+cos2x+2/2^5/2/2^3/2
atan(((2*sin(2*x)) dividir por (1+cos(2*x))+2) dividir por 2^(5 dividir por 2)) dividir por 2^(3 dividir por 2)
Expresiones semejantes
atan(((2*sin(2*x))/(1-cos(2*x))+2)/2^(5/2))/2^(3/2)
atan(((2*sin(2*x))/(1+cos(2*x))-2)/2^(5/2))/2^(3/2)
arctan(((2*sin(2*x))/(1+cos(2*x))+2)/2^(5/2))/2^(3/2)
Expresiones con funciones
Arcotangente arctan
atan(l/(2*r))
atan(6*x^3+1)^2+36*x^3*atan(6*x^3+1)/(1+(6*x^3+1)^2)
atan(((6*sin(x))/(1+cos(x))+2)/2^(5/2))/sqrt(2)
atan((2*sin(x))/(1+cos(x)))/2
atan(((2*a^2+2)*tan(x))/(2*sqrt(a^2+1)))/sqrt(a^2+1)
Seno sin
sin(x)/(9*cos(x))
sin(x)/(a*sqrt(1-cos(x)^((2/a)^2)))
sin((x+6)/3)^3/6-1/(((x+4)*log(2))*(x+4))-cos((x+6)/3)^2*sin((x+6)/3)/3
sin(x)^(sqrt(x))*(-3/(2*sqrt(x))+(log(sin(x))/sqrt(x)+2*sqrt(x)*cos(x)/sin(x))^3/8-3*(log(sin(x))/sqrt(x)+2*sqrt(x)*cos(x)/sin(x))*(4*sqrt(x)+log(sin(x))/x^(3/2)-4*cos(x)/(sqrt(x)*sin(x))+4*sqrt(x)*cos(x)^2/sin(x)^2)/8+3*log(sin(x))/(8*x^(5/2))+2*sqrt(x)*cos(x)^3/sin(x)^3+2*sqrt(x)*cos(x)/sin(x)-3*cos(x)^2/(2*sqrt(x)*sin(x)^2)-3*cos(x)/(4*x^(3/2)*sin(x)))
sin(x)/(3+cos(x))+(3-cos(x))*sin(x)/(3+cos(x))^2
Coseno cos
cos(x)^(x^2/(x+1))*((-x^2/(x+1)^2+2*x/(x+1))*log(cos(x))-x^2*sin(x)/((x+1)*cos(x)))
cos(x)/acos(x)+sin(x)/(sqrt(1-x^2)*acos(x)^2)
cos(x)^acot(x)*(-log(cos(x))/(1+x^2)-acot(x)*sin(x)/cos(x))
cos(x)/(1-cos(x))-sin(x)^2/(1-cos(x))^2
cos(x)/(1-sin(2*x))+2*cos(2*x)*sin(x)/(1-sin(2*x))^2

Simplificación de expresiones/ Descomposición en fracciones simples/ atan(((2*sin(2*x))/(1+cos(2*x))+2)/2^(5/2))/2^(3/2)

¿Cómo vas a descomponer esta atan(((2sin(2x))/(1+cos(2*x))+2)/2^(5/2))/2^(3/2) expresión en fracciones?

Solución

Ha introducido [src]

    / 2*sin(2*x)     \
    |------------ + 2|
    |1 + cos(2*x)    |
atan|----------------|
    |       5/2      |
    \      2         /
----------------------
          3/2         
         2

\frac{\operatorname{atan}{\left(\frac{2 + \frac{2 \sin{\left(2 x \right)}}{\cos{\left(2 x \right)} + 1}}{2^{\frac{5}{2}}} \right)}}{2^{\frac{3}{2}}}

atan(((2*sin(2*x))/(1 + cos(2*x)) + 2)/2^(5/2))/2^(3/2)

Descomposición de una fracción [src]

sqrt(2)*atan(2*sqrt(2)/8 + 2*(sqrt(2)/8)*sin(2*x)/(1 + cos(2*x)))/4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{2 \sqrt{2}}{8} + \frac{2 \frac{\sqrt{2}}{8} \sin{\left(2 x \right)}}{\cos{\left(2 x \right)} + 1} \right)}}{4}

          /              ___         \
          |            \/ 2          |
          |    ___   2*-----*sin(2*x)|
  ___     |2*\/ 2        8           |
\/ 2 *atan|------- + ----------------|
          \   8        1 + cos(2*x)  /
--------------------------------------
                  4

Simplificación general [src]

          /  ___        /      pi\\
          |\/ 2  + 2*sin|2*x + --||
  ___     |             \      4 /|
\/ 2 *atan|-----------------------|
          |            2          |
          \       8*cos (x)       /
-----------------------------------
                 4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{2 \sin{\left(2 x + \frac{\pi}{4} \right)} + \sqrt{2}}{8 \cos^{2}{\left(x \right)}} \right)}}{4}

sqrt(2)*atan((sqrt(2) + 2*sin(2*x + pi/4))/(8*cos(x)^2))/4

Respuesta numérica [src]

0.353553390593274*atan(((2*sin(2*x))/(1 + cos(2*x)) + 2)/2^(5/2))

0.353553390593274*atan(((2*sin(2*x))/(1 + cos(2*x)) + 2)/2^(5/2))

Unión de expresiones racionales [src]

          /  ___                          \
  ___     |\/ 2 *(1 + cos(2*x) + sin(2*x))|
\/ 2 *atan|-------------------------------|
          \        4*(1 + cos(2*x))       /
-------------------------------------------
                     4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(\sin{\left(2 x \right)} + \cos{\left(2 x \right)} + 1\right)}{4 \left(\cos{\left(2 x \right)} + 1\right)} \right)}}{4}

sqrt(2)*atan(sqrt(2)*(1 + cos(2*x) + sin(2*x))/(4*(1 + cos(2*x))))/4

Denominador común [src]

          /  ___      ___          \
  ___     |\/ 2     \/ 2 *sin(2*x) |
\/ 2 *atan|----- + ----------------|
          \  4     4*(1 + cos(2*x))/
------------------------------------
                 4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2}}{4} + \frac{\sqrt{2} \sin{\left(2 x \right)}}{4 \left(\cos{\left(2 x \right)} + 1\right)} \right)}}{4}

sqrt(2)*atan(sqrt(2)/4 + sqrt(2)*sin(2*x)/(4*(1 + cos(2*x))))/4

Combinatoria [src]

          /  ___      ___          \
  ___     |\/ 2     \/ 2 *sin(2*x) |
\/ 2 *atan|----- + ----------------|
          \  4     4*(1 + cos(2*x))/
------------------------------------
                 4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2}}{4} + \frac{\sqrt{2} \sin{\left(2 x \right)}}{4 \left(\cos{\left(2 x \right)} + 1\right)} \right)}}{4}

sqrt(2)*atan(sqrt(2)/4 + sqrt(2)*sin(2*x)/(4*(1 + cos(2*x))))/4

Potencias [src]

          /  ___ /     2*sin(2*x) \\
          |\/ 2 *|2 + ------------||
  ___     |      \    1 + cos(2*x)/|
\/ 2 *atan|------------------------|
          \           8            /
------------------------------------
                 4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{2 \sin{\left(2 x \right)}}{\cos{\left(2 x \right)} + 1}\right)}{8} \right)}}{4}

          /      /      /   -2*I*x    2*I*x\\\
          |  ___ |    I*\- e       + e     /||
          |\/ 2 *|2 - ----------------------||
          |      |          -2*I*x    2*I*x ||
          |      |         e         e      ||
          |      |     1 + ------- + ------ ||
  ___     |      \            2        2    /|
\/ 2 *atan|----------------------------------|
          \                8                 /
----------------------------------------------
                      4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(- \frac{i \left(e^{2 i x} - e^{- 2 i x}\right)}{\frac{e^{2 i x}}{2} + 1 + \frac{e^{- 2 i x}}{2}} + 2\right)}{8} \right)}}{4}

  ___     /  ___ /1       sin(2*x)    \\
\/ 2 *atan|\/ 2 *|- + ----------------||
          \      \4   4*(1 + cos(2*x))//
----------------------------------------
                   4

\frac{\sqrt{2} \operatorname{atan}{\left(\sqrt{2} \left(\frac{1}{4} + \frac{\sin{\left(2 x \right)}}{4 \left(\cos{\left(2 x \right)} + 1\right)}\right) \right)}}{4}

sqrt(2)*atan(sqrt(2)*(1/4 + sin(2*x)/(4*(1 + cos(2*x)))))/4

Compilar la expresión [src]

          / 2*sin(2*x)     \
          |------------ + 2|
  ___     |1 + cos(2*x)    |
\/ 2 *atan|----------------|
          |       5/2      |
          \      2         /
----------------------------
             4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{2 + \frac{2 \sin{\left(2 x \right)}}{\cos{\left(2 x \right)} + 1}}{2^{\frac{5}{2}}} \right)}}{4}

sqrt(2)*atan(((2*sin(2*x))/(1 + cos(2*x)) + 2)/2^(5/2))/4

Abrimos la expresión [src]

          /    ___     ___       \
  ___     |2*\/ 2    \/ 2 *sin(x)|
\/ 2 *atan|------- + ------------|
          \   8        4*cos(x)  /
----------------------------------
                4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \sin{\left(x \right)}}{4 \cos{\left(x \right)}} + \frac{2 \sqrt{2}}{8} \right)}}{4}

sqrt(2)*atan(2*sqrt(2)/8 + sqrt(2)*sin(x)/(4*cos(x)))/4

Denominador racional [src]

          /  ___                          \
  ___     |\/ 2 *(1 + cos(2*x) + sin(2*x))|
\/ 2 *atan|-------------------------------|
          \        4*(1 + cos(2*x))       /
-------------------------------------------
                     4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(\sin{\left(2 x \right)} + \cos{\left(2 x \right)} + 1\right)}{4 \left(\cos{\left(2 x \right)} + 1\right)} \right)}}{4}

sqrt(2)*atan(sqrt(2)*(1 + cos(2*x) + sin(2*x))/(4*(1 + cos(2*x))))/4

Parte trigonométrica [src]

          /      /       /    pi\\\
          |      |    cos|x - --|||
          |  ___ |       \    2 /||
          |\/ 2 *|1 + -----------||
  ___     |      \       cos(x)  /|
\/ 2 *atan|-----------------------|
          \           4           /
-----------------------------------
                 4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(1 + \frac{\cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}}\right)}{4} \right)}}{4}

          /  ___             \
  ___     |\/ 2 *(1 + tan(x))|
\/ 2 *atan|------------------|
          \        4         /
------------------------------
              4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(\tan{\left(x \right)} + 1\right)}{4} \right)}}{4}

          /  ___ /                 2              \\
          |\/ 2 *|2 + ----------------------------||
          |      |    /       1    \    /      pi\||
          |      |    |1 + --------|*sec|2*x - --|||
  ___     |      \    \    sec(2*x)/    \      2 //|
\/ 2 *atan|----------------------------------------|
          \                   8                    /
----------------------------------------------------
                         4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{2}{\left(1 + \frac{1}{\sec{\left(2 x \right)}}\right) \sec{\left(2 x - \frac{\pi}{2} \right)}}\right)}{8} \right)}}{4}

          /      /       /pi    \\\
          |      |    csc|-- - x|||
          |  ___ |       \2     /||
          |\/ 2 *|1 + -----------||
  ___     |      \       csc(x)  /|
\/ 2 *atan|-----------------------|
          \           4           /
-----------------------------------
                 4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(1 + \frac{\csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}}\right)}{4} \right)}}{4}

          /      /         2   \\
          |  ___ |    2*sin (x)||
          |\/ 2 *|1 + ---------||
  ___     |      \     sin(2*x)/|
\/ 2 *atan|---------------------|
          \          4          /
---------------------------------
                4

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

          /      /         /      pi\\\
          |      |    2*cos|2*x - --|||
          |  ___ |         \      2 /||
          |\/ 2 *|2 + ---------------||
  ___     |      \      1 + cos(2*x) /|
\/ 2 *atan|---------------------------|
          \             8             /
---------------------------------------
                   4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{2 \cos{\left(2 x - \frac{\pi}{2} \right)}}{\cos{\left(2 x \right)} + 1}\right)}{8} \right)}}{4}

          /  ___ /                 2              \\
          |\/ 2 *|2 + ----------------------------||
          |      |    /          1      \         ||
          |      |    |1 + -------------|*csc(2*x)||
          |      |    |       /pi      \|         ||
          |      |    |    csc|-- - 2*x||         ||
  ___     |      \    \       \2       //         /|
\/ 2 *atan|----------------------------------------|
          \                   8                    /
----------------------------------------------------
                         4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{2}{\left(1 + \frac{1}{\csc{\left(- 2 x + \frac{\pi}{2} \right)}}\right) \csc{\left(2 x \right)}}\right)}{8} \right)}}{4}

          /  ___ /      1   \\
          |\/ 2 *|1 + ------||
  ___     |      \    cot(x)/|
\/ 2 *atan|------------------|
          \        4         /
------------------------------
              4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(1 + \frac{1}{\cot{\left(x \right)}}\right)}{4} \right)}}{4}

          /  ___ /     2*sin(2*x) \\
          |\/ 2 *|2 + ------------||
  ___     |      \    1 + cos(2*x)/|
\/ 2 *atan|------------------------|
          \           8            /
------------------------------------
                 4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{2 \sin{\left(2 x \right)}}{\cos{\left(2 x \right)} + 1}\right)}{8} \right)}}{4}

          /  ___ /                4*tan(x)           \\
          |\/ 2 *|2 + -------------------------------||
          |      |                  /           2   \||
          |      |    /       2   \ |    1 - tan (x)|||
          |      |    \1 + tan (x)/*|1 + -----------|||
          |      |                  |           2   |||
  ___     |      \                  \    1 + tan (x)//|
\/ 2 *atan|-------------------------------------------|
          \                     8                     /
-------------------------------------------------------
                           4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{4 \tan{\left(x \right)}}{\left(\frac{1 - \tan^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 1} + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}\right)}{8} \right)}}{4}

          /  ___ /       sec(x)  \\
          |\/ 2 *|1 + -----------||
          |      |       /    pi\||
          |      |    sec|x - --|||
  ___     |      \       \    2 //|
\/ 2 *atan|-----------------------|
          \           4           /
-----------------------------------
                 4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(\frac{\sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}} + 1\right)}{4} \right)}}{4}

          /  ___ /        2*sin(2*x)   \\
          |\/ 2 *|2 + -----------------||
          |      |           /pi      \||
          |      |    1 + sin|-- + 2*x|||
  ___     |      \           \2       //|
\/ 2 *atan|-----------------------------|
          \              8              /
-----------------------------------------
                    4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{2 \sin{\left(2 x \right)}}{\sin{\left(2 x + \frac{\pi}{2} \right)} + 1}\right)}{8} \right)}}{4}

          /  ___ /               2           \\
          |\/ 2 *|2 + -----------------------||
          |      |    /       1    \         ||
          |      |    |1 + --------|*csc(2*x)||
  ___     |      \    \    sec(2*x)/         /|
\/ 2 *atan|-----------------------------------|
          \                 8                 /
-----------------------------------------------
                       4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{2}{\left(1 + \frac{1}{\sec{\left(2 x \right)}}\right) \csc{\left(2 x \right)}}\right)}{8} \right)}}{4}

          /  ___ /                4*cot(x)            \\
          |\/ 2 *|2 + --------------------------------||
          |      |                  /            2   \||
          |      |    /       2   \ |    -1 + cot (x)|||
          |      |    \1 + cot (x)/*|1 + ------------|||
          |      |                  |           2    |||
  ___     |      \                  \    1 + cot (x) //|
\/ 2 *atan|--------------------------------------------|
          \                     8                      /
--------------------------------------------------------
                           4

\frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 + \frac{4 \cot{\left(x \right)}}{\left(\frac{\cot^{2}{\left(x \right)} - 1}{\cot^{2}{\left(x \right)} + 1} + 1\right) \left(\cot^{2}{\left(x \right)} + 1\right)}\right)}{8} \right)}}{4}

sqrt(2)*atan(sqrt(2)*(2 + 4*cot(x)/((1 + cot(x)^2)*(1 + (-1 + cot(x)^2)/(1 + cot(x)^2))))/8)/4

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta atan(((2*sin(2*x))/(1+cos(2*x))+2)/2^(5/2))/2^(3/2) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta atan(((2sin(2x))/(1+cos(2*x))+2)/2^(5/2))/2^(3/2) expresión en fracciones?