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(y-x)/(y/x-x/y)
-1/x+3/(x^2+2)
(a^2+4ab+b^2)/(a+b)^2
(y-x/y*(x+y))*(-x*y/(x^3-x*y^2))
Factorizar el polinomio:
y^2+x*y+x^2+2*x+2*y
y^2-5*x^2/4-11/2
y^2+2*y*w+w^2
y^2-x*y+3*x-y-6
Descomponer al cuadrado:
-y^4+6*y^2+9
y^4-5*y^2-5
y^4-5*y^2+15
-y^4-4*y^2-8
Expresiones idénticas
sqrt(dos)*atan(((dos *sin(x))/(uno +cos(x))+ dos)/ dos ^(tres / dos))
raíz cuadrada de (2) multiplicar por arco tangente de gente de (((2 multiplicar por seno de (x)) dividir por (1 más coseno de (x)) más 2) dividir por 2 en el grado (3 dividir por 2))
raíz cuadrada de (dos) multiplicar por arco tangente de gente de (((dos multiplicar por seno de (x)) dividir por (uno más coseno de (x)) más dos) dividir por dos en el grado (tres dividir por dos))
√(2)*atan(((2*sin(x))/(1+cos(x))+2)/2^(3/2))
sqrt(2)*atan(((2*sin(x))/(1+cos(x))+2)/2(3/2))
sqrt2*atan2*sinx/1+cosx+2/23/2
sqrt(2)atan(((2sin(x))/(1+cos(x))+2)/2^(3/2))
sqrt(2)atan(((2sin(x))/(1+cos(x))+2)/2(3/2))
sqrt2atan2sinx/1+cosx+2/23/2
sqrt2atan2sinx/1+cosx+2/2^3/2
sqrt(2)*atan(((2*sin(x)) dividir por (1+cos(x))+2) dividir por 2^(3 dividir por 2))
Expresiones semejantes
sqrt(2)*atan(((2*sin(x))/(1+cos(x))-2)/2^(3/2))
sqrt(2)*atan(((2*sin(x))/(1-cos(x))+2)/2^(3/2))
sqrt(2)*arctan(((2*sin(x))/(1+cos(x))+2)/2^(3/2))
sqrt(2)*atan(((2*sinx)/(1+cosx)+2)/2^(3/2))
Expresiones con funciones
Raíz cuadrada sqrt
sqrt((a+x)/(a-x))+x*sqrt((a+x)/(a-x))*(a-x)*(1/(2*(a-x))+(a+x)/(2*(a-x)^2))/(a+x)
sqrt(a)/(x-36*sqrt(x))/9*(a)/(36*sqrt(x)-x)^2
sqrt(a)/(x-48*sqrt(x))/2*sqrt(a)/(48*sqrt(x)-x)
sqrt(m)/(m-16)-sqrt(m)/((4-sqrt(m))^2)
sqrt(cot(x)/(11-5*x))*(11-5*x)*((-1-cot(x)^2)/(2*(11-5*x))+5*cot(x)/(2*(11-5*x)^2))/cot(x)
Arcotangente arctan
atan((175*w^2-15*w^3)/(-100*w^2-169))/((150*w^2)/(-100*w^2-169))
Seno sin
sin(a)/(1-cos(a))-(sin(a)/(1+cos(a)))
sin(a+b+c)/((sin(a)*sin(b)*sin(c)))-(tan(a)+tan(b)+tan(c))/(tan(a)tan(b)tan(c))
sin(a)^2-cos(pi/(2+a))*sin(pi-a)/(tan(pi-a)*cot(3*pi/2+a))
sin(a)/(1+cos(a))+(1+cos(a))/sin(a)
sin(7*pi/(11+a))*sin((a-4*pi)/11)+cos(4*pi/(11-a))*cos(7*pi/(11+a))
Coseno cos
cos^4x/(sinx(cos^5x+sin^5x))
cos(2*x)/((sin(2*x)*cos(x)))
cos^2(x)/(cos^2(x)-1)
cos2x-sin2x/(cos4x-sin4x+2sin^2(2x))
cos(2*x)^(1/x)*(-log(cos(2*x))/x^2-2*sin(2*x)/(x*cos(2*x)))

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

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

Solución

Ha introducido [src]

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

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

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

Descomposición de una fracción [src]

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

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

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

Simplificación general [src]

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

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

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

Respuesta numérica [src]

1.4142135623731*atan(((2*sin(x))/(1 + cos(x)) + 2)/2^(3/2))

1.4142135623731*atan(((2*sin(x))/(1 + cos(x)) + 2)/2^(3/2))

Denominador racional [src]

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

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

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

Denominador común [src]

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

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

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

Potencias [src]

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

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

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

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

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

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

sqrt(2)*atan(sqrt(2)*(2 - i*(-exp(-i*x) + exp(i*x))/(1 + exp(i*x)/2 + exp(-i*x)/2))/4)

Unión de expresiones racionales [src]

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

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

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

Abrimos la expresión [src]

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

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

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

Combinatoria [src]

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

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

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

Parte trigonométrica [src]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

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

Solución

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