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¿cómo vas a descomponer esta expresión en fracciones?:
1/(3,94436∙〖10〗^(-7))
((3*c+1)/(c-1)+c)/(c+1)
-1/(5*x^5)
(49*b/a-25*a/b)/(7*a+5*b)
Factorizar el polinomio:
y^4-25
y^5-y^3-y+1
y^5+y+1
-y^3+y^2-1
Descomponer al cuadrado:
-y^4-8*y^2-8
-y^4+9*y^2-3
-y^4+8*y^2+4
-y^4-8*y^2-3
Expresiones idénticas
atan(((dos *sin(dos *x))/(uno +cos(dos *x))+ uno)/sqrt(tres))/sqrt(tres)
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 1) dividir por raíz cuadrada de (3)) dividir por raíz cuadrada de (3)
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 uno) dividir por raíz cuadrada de (tres)) dividir por raíz cuadrada de (tres)
atan(((2*sin(2*x))/(1+cos(2*x))+1)/√(3))/√(3)
atan(((2sin(2x))/(1+cos(2x))+1)/sqrt(3))/sqrt(3)
atan2sin2x/1+cos2x+1/sqrt3/sqrt3
atan(((2*sin(2*x)) dividir por (1+cos(2*x))+1) dividir por sqrt(3)) dividir por sqrt(3)
Expresiones semejantes
atan(((2*sin(2*x))/(1-cos(2*x))+1)/sqrt(3))/sqrt(3)
atan(((2*sin(2*x))/(1+cos(2*x))-1)/sqrt(3))/sqrt(3)
arctan(((2*sin(2*x))/(1+cos(2*x))+1)/sqrt(3))/sqrt(3)
Expresiones con funciones
Arcotangente arctan
atan((6*x-2)/(2*sqrt(11)))/sqrt(11)
atan(2*x+7)*2+4*x/(1+(2*x+7)^2)-(28+8*x)/(2*(1+(2*x+7)^4))
atan(((4*sin(2*x))/(1+cos(2*x))+1)/sqrt(31))/sqrt(31)
atan(x)+x/(x^2+1)-(3*x^2)/(2*(x^3+1))
atan((2*x-2*l)/(2*a))/a
Seno sin
sin^2/(cos-1)
sin^2a(cos4a-cos2a)/(sina-2sin3a+sin5a)
sin20/(2*cos10)
sin(2*x)/(1+cos(2*x))
sin(x)/(2*sqrt(cos(x)))
Coseno cos
cos(10*a)/(sin(5*a)-cos(5*a))
cos(x)*(-sin(x)-(cos(x)*sin(x)))/sqrt(1+cos(x)^(2))/(cos(x)+sqrt(1+cos(x)^(2)))
cos(x)+t*sin(x)/(1-t*(x^2)/2)*x
cos(x)/(x+1)^3-3*sin(x)/(x+1)^4
cos(x)/(cos(x)+1)+sin(x)^2/(cos(x)+1)^2
Raíz cuadrada sqrt
Sqrt(2b+2*sqrt(b^2-4))/(sqrt(b^2-4)+b+2)
sqrt(x/(x-a^2))/((2*x^2-2*a^2)/a^2)
sqrt(x)/(-(x^7))
sqrt(x*(x-1)/(x-2))*(x-2)*((-1+2*x)/(2*(x-2))-x*(x-1)/(2*(x-2)^2))/(x*(x-1))
sqrt(x/(x+4))*(x+4)*(1/(2*(x+4))-x/(2*(x+4)^2))/(x*sqrt(1-x/(x+4)))
Raíz cuadrada sqrt
Sqrt(2b+2*sqrt(b^2-4))/(sqrt(b^2-4)+b+2)
sqrt(x/(x-a^2))/((2*x^2-2*a^2)/a^2)
sqrt(x)/(-(x^7))
sqrt(x*(x-1)/(x-2))*(x-2)*((-1+2*x)/(2*(x-2))-x*(x-1)/(2*(x-2)^2))/(x*(x-1))
sqrt(x/(x+4))*(x+4)*(1/(2*(x+4))-x/(2*(x+4)^2))/(x*sqrt(1-x/(x+4)))

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

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

Solución

Ha introducido [src]

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

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

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

Descomposición de una fracción [src]

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

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

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

Simplificación general [src]

          /  ___               \
  ___     |\/ 3 *(1 + 2*tan(x))|
\/ 3 *atan|--------------------|
          \         3          /
--------------------------------
               3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(2 \tan{\left(x \right)} + 1\right)}{3} \right)}}{3}

sqrt(3)*atan(sqrt(3)*(1 + 2*tan(x))/3)/3

Denominador común [src]

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

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

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

Combinatoria [src]

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

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

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

Unión de expresiones racionales [src]

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

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

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

Abrimos la expresión [src]

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

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

sqrt(3)*atan(sqrt(3)/3 + 2*sqrt(3)*sin(x)/(3*cos(x)))/3

Compilar la expresión [src]

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

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

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

Respuesta numérica [src]

0.577350269189626*atan(((2*sin(2*x))/(1 + cos(2*x)) + 1)/sqrt(3))

0.577350269189626*atan(((2*sin(2*x))/(1 + cos(2*x)) + 1)/sqrt(3))

Denominador racional [src]

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

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

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

Parte trigonométrica [src]

          /  ___               \
  ___     |\/ 3 *(1 + 2*tan(x))|
\/ 3 *atan|--------------------|
          \         3          /
--------------------------------
               3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(2 \tan{\left(x \right)} + 1\right)}{3} \right)}}{3}

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

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

          /  ___ /                4*cot(x)            \\
          |\/ 3 *|1 + --------------------------------||
          |      |                  /            2   \||
          |      |    /       2   \ |    -1 + cot (x)|||
          |      |    \1 + cot (x)/*|1 + ------------|||
          |      |                  |           2    |||
  ___     |      \                  \    1 + cot (x) //|
\/ 3 *atan|--------------------------------------------|
          \                     3                      /
--------------------------------------------------------
                           3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \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)}{3} \right)}}{3}

          /      /         2   \\
          |  ___ |    4*sin (x)||
          |\/ 3 *|1 + ---------||
  ___     |      \     sin(2*x)/|
\/ 3 *atan|---------------------|
          \          3          /
---------------------------------
                3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(\frac{4 \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}} + 1\right)}{3} \right)}}{3}

          /  ___ /               2           \\
          |\/ 3 *|1 + -----------------------||
          |      |    /       1    \         ||
          |      |    |1 + --------|*csc(2*x)||
  ___     |      \    \    sec(2*x)/         /|
\/ 3 *atan|-----------------------------------|
          \                 3                 /
-----------------------------------------------
                       3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \frac{2}{\left(1 + \frac{1}{\sec{\left(2 x \right)}}\right) \csc{\left(2 x \right)}}\right)}{3} \right)}}{3}

          /      /         /pi    \\\
          |      |    2*csc|-- - x|||
          |  ___ |         \2     /||
          |\/ 3 *|1 + -------------||
  ___     |      \        csc(x)   /|
\/ 3 *atan|-------------------------|
          \            3            /
-------------------------------------
                  3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \frac{2 \csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}}\right)}{3} \right)}}{3}

          /  ___ /                4*tan(x)           \\
          |\/ 3 *|1 + -------------------------------||
          |      |                  /           2   \||
          |      |    /       2   \ |    1 - tan (x)|||
          |      |    \1 + tan (x)/*|1 + -----------|||
          |      |                  |           2   |||
  ___     |      \                  \    1 + tan (x)//|
\/ 3 *atan|-------------------------------------------|
          \                     3                     /
-------------------------------------------------------
                           3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \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)}{3} \right)}}{3}

          /      /         /    pi\\\
          |      |    2*cos|x - --|||
          |  ___ |         \    2 /||
          |\/ 3 *|1 + -------------||
  ___     |      \        cos(x)   /|
\/ 3 *atan|-------------------------|
          \            3            /
-------------------------------------
                  3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \frac{2 \cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}}\right)}{3} \right)}}{3}

          /  ___ /      2*sec(x) \\
          |\/ 3 *|1 + -----------||
          |      |       /    pi\||
          |      |    sec|x - --|||
  ___     |      \       \    2 //|
\/ 3 *atan|-----------------------|
          \           3           /
-----------------------------------
                 3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(\frac{2 \sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}} + 1\right)}{3} \right)}}{3}

          /  ___ /                 2              \\
          |\/ 3 *|1 + ----------------------------||
          |      |    /       1    \    /      pi\||
          |      |    |1 + --------|*sec|2*x - --|||
  ___     |      \    \    sec(2*x)/    \      2 //|
\/ 3 *atan|----------------------------------------|
          \                   3                    /
----------------------------------------------------
                         3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \frac{2}{\left(1 + \frac{1}{\sec{\left(2 x \right)}}\right) \sec{\left(2 x - \frac{\pi}{2} \right)}}\right)}{3} \right)}}{3}

          /  ___ /                 2              \\
          |\/ 3 *|1 + ----------------------------||
          |      |    /          1      \         ||
          |      |    |1 + -------------|*csc(2*x)||
          |      |    |       /pi      \|         ||
          |      |    |    csc|-- - 2*x||         ||
  ___     |      \    \       \2       //         /|
\/ 3 *atan|----------------------------------------|
          \                   3                    /
----------------------------------------------------
                         3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \frac{2}{\left(1 + \frac{1}{\csc{\left(- 2 x + \frac{\pi}{2} \right)}}\right) \csc{\left(2 x \right)}}\right)}{3} \right)}}{3}

          /      /         /      pi\\\
          |      |    2*cos|2*x - --|||
          |  ___ |         \      2 /||
          |\/ 3 *|1 + ---------------||
  ___     |      \      1 + cos(2*x) /|
\/ 3 *atan|---------------------------|
          \             3             /
---------------------------------------
                   3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \frac{2 \cos{\left(2 x - \frac{\pi}{2} \right)}}{\cos{\left(2 x \right)} + 1}\right)}{3} \right)}}{3}

          /  ___ /        2*sin(2*x)   \\
          |\/ 3 *|1 + -----------------||
          |      |           /pi      \||
          |      |    1 + sin|-- + 2*x|||
  ___     |      \           \2       //|
\/ 3 *atan|-----------------------------|
          \              3              /
-----------------------------------------
                    3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \frac{2 \sin{\left(2 x \right)}}{\sin{\left(2 x + \frac{\pi}{2} \right)} + 1}\right)}{3} \right)}}{3}

          /  ___ /      2   \\
          |\/ 3 *|1 + ------||
  ___     |      \    cot(x)/|
\/ 3 *atan|------------------|
          \        3         /
------------------------------
              3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \left(1 + \frac{2}{\cot{\left(x \right)}}\right)}{3} \right)}}{3}

sqrt(3)*atan(sqrt(3)*(1 + 2/cot(x))/3)/3

Potencias [src]

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

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

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

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

          /      /      /   -2*I*x    2*I*x\\\
          |  ___ |    I*\- e       + e     /||
          |\/ 3 *|1 - ----------------------||
          |      |          -2*I*x    2*I*x ||
          |      |         e         e      ||
          |      |     1 + ------- + ------ ||
  ___     |      \            2        2    /|
\/ 3 *atan|----------------------------------|
          \                3                 /
----------------------------------------------
                      3

\frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \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}} + 1\right)}{3} \right)}}{3}

sqrt(3)*atan(sqrt(3)*(1 - i*(-exp(-2*i*x) + exp(2*i*x))/(1 + exp(-2*i*x)/2 + exp(2*i*x)/2))/3)/3

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))+1)/sqrt(3))/sqrt(3) expresión en fracciones?

Solución

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