Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
log((2*x-sqrt(141)-11)/((-11)+sqrt(141)+2*x))/sqrt(141)
¿Cómo vas a descomponer esta log((2*x-sqrt(141)-11)/((-11)+sqrt(141)+2*x))/sqrt(141) expresión en fracciones?
Solución
Ha introducido
[src]
/ _____ \
| 2*x - \/ 141 - 11|
log|-------------------|
| _____ |
\-11 + \/ 141 + 2*x/
------------------------
_____
\/ 141
$$\frac{\log{\left(\frac{\left(2 x - \sqrt{141}\right) - 11}{2 x + \left(-11 + \sqrt{141}\right)} \right)}}{\sqrt{141}}$$
log((2*x - sqrt(141) - 11)/(-11 + sqrt(141) + 2*x))/sqrt(141)
Descomposición de una fracción
[src]
sqrt(141)*log(-11/(-11 + sqrt(141) + 2*x) - sqrt(141)/(-11 + sqrt(141) + 2*x) + 2*x/(-11 + sqrt(141) + 2*x))/141
$$\frac{\sqrt{141} \log{\left(\frac{2 x}{2 x + \left(-11 + \sqrt{141}\right)} - \frac{\sqrt{141}}{2 x + \left(-11 + \sqrt{141}\right)} - \frac{11}{2 x + \left(-11 + \sqrt{141}\right)} \right)}}{141}$$
/ _____ \
_____ | 11 \/ 141 2*x |
\/ 141 *log|- ------------------- - ------------------- + -------------------|
| _____ _____ _____ |
\ -11 + \/ 141 + 2*x -11 + \/ 141 + 2*x -11 + \/ 141 + 2*x/
------------------------------------------------------------------------------
141
Simplificación general
[src]
/ _____ \
_____ |-11 - \/ 141 + 2*x|
\/ 141 *log|-------------------|
| _____ |
\-11 + \/ 141 + 2*x/
--------------------------------
141
$$\frac{\sqrt{141} \log{\left(\frac{2 x - \sqrt{141} - 11}{2 x - 11 + \sqrt{141}} \right)}}{141}$$
sqrt(141)*log((-11 - sqrt(141) + 2*x)/(-11 + sqrt(141) + 2*x))/141
Unión de expresiones racionales
[src]
/ _____ \
_____ |-11 - \/ 141 + 2*x|
\/ 141 *log|-------------------|
| _____ |
\-11 + \/ 141 + 2*x/
--------------------------------
141
$$\frac{\sqrt{141} \log{\left(\frac{2 x - \sqrt{141} - 11}{2 x - 11 + \sqrt{141}} \right)}}{141}$$
sqrt(141)*log((-11 - sqrt(141) + 2*x)/(-11 + sqrt(141) + 2*x))/141
Respuesta numérica
[src]
0.0842151921066519*log((2*x - sqrt(141) - 11)/(-11 + sqrt(141) + 2*x))
0.0842151921066519*log((2*x - sqrt(141) - 11)/(-11 + sqrt(141) + 2*x))
Combinatoria
[src]
/ _____ \
_____ | 11 \/ 141 2*x |
\/ 141 *log|- ------------------- - ------------------- + -------------------|
| _____ _____ _____ |
\ -11 + \/ 141 + 2*x -11 + \/ 141 + 2*x -11 + \/ 141 + 2*x/
------------------------------------------------------------------------------
141
$$\frac{\sqrt{141} \log{\left(\frac{2 x}{2 x - 11 + \sqrt{141}} - \frac{\sqrt{141}}{2 x - 11 + \sqrt{141}} - \frac{11}{2 x - 11 + \sqrt{141}} \right)}}{141}$$
sqrt(141)*log(-11/(-11 + sqrt(141) + 2*x) - sqrt(141)/(-11 + sqrt(141) + 2*x) + 2*x/(-11 + sqrt(141) + 2*x))/141
Denominador racional
[src]
/ / _____ \ \
_____ |-\11 + \/ 141 - 2*x/ |
\/ 141 *log|----------------------|
| _____ |
\ -11 + \/ 141 + 2*x /
-----------------------------------
141
$$\frac{\sqrt{141} \log{\left(- \frac{- 2 x + 11 + \sqrt{141}}{2 x - 11 + \sqrt{141}} \right)}}{141}$$
sqrt(141)*log(-(11 + sqrt(141) - 2*x)/(-11 + sqrt(141) + 2*x))/141
Denominador común
[src]
/ _____ \
_____ | 11 \/ 141 2*x |
\/ 141 *log|- ------------------- - ------------------- + -------------------|
| _____ _____ _____ |
\ -11 + \/ 141 + 2*x -11 + \/ 141 + 2*x -11 + \/ 141 + 2*x/
------------------------------------------------------------------------------
141
$$\frac{\sqrt{141} \log{\left(\frac{2 x}{2 x - 11 + \sqrt{141}} - \frac{\sqrt{141}}{2 x - 11 + \sqrt{141}} - \frac{11}{2 x - 11 + \sqrt{141}} \right)}}{141}$$
sqrt(141)*log(-11/(-11 + sqrt(141) + 2*x) - sqrt(141)/(-11 + sqrt(141) + 2*x) + 2*x/(-11 + sqrt(141) + 2*x))/141
Compilar la expresión
[src]
/ _____ \
_____ | 2*x - \/ 141 - 11|
\/ 141 *log|-------------------|
| _____ |
\-11 + \/ 141 + 2*x/
--------------------------------
141
$$\frac{\sqrt{141} \log{\left(\frac{\left(2 x - \sqrt{141}\right) - 11}{2 x + \left(-11 + \sqrt{141}\right)} \right)}}{141}$$
sqrt(141)*log((2*x - sqrt(141) - 11)/(-11 + sqrt(141) + 2*x))/141
Parte trigonométrica
[src]
/ _____ \
_____ |-11 - \/ 141 + 2*x|
\/ 141 *log|-------------------|
| _____ |
\-11 + \/ 141 + 2*x/
--------------------------------
141
$$\frac{\sqrt{141} \log{\left(\frac{2 x - \sqrt{141} - 11}{2 x - 11 + \sqrt{141}} \right)}}{141}$$
sqrt(141)*log((-11 - sqrt(141) + 2*x)/(-11 + sqrt(141) + 2*x))/141
Potencias
[src]
/ _____ \
_____ |-11 - \/ 141 + 2*x|
\/ 141 *log|-------------------|
| _____ |
\-11 + \/ 141 + 2*x/
--------------------------------
141
$$\frac{\sqrt{141} \log{\left(\frac{2 x - \sqrt{141} - 11}{2 x - 11 + \sqrt{141}} \right)}}{141}$$
sqrt(141)*log((-11 - sqrt(141) + 2*x)/(-11 + sqrt(141) + 2*x))/141