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¿Cómo vas a descomponer esta Piecewise((2*i*acosh(1/(2*sqrt(x))),1/(4*|x|)>1),(-2*asin(1/(2*sqrt(x))),True)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
/         /   1   \        1      
|2*I*acosh|-------|  for ----- > 1
|         |    ___|      4*|x|    
|         \2*\/ x /               
<                                 
|        /   1   \                
| -2*asin|-------|     otherwise  
|        |    ___|                
\        \2*\/ x /                
$$\begin{cases} 2 i \operatorname{acosh}{\left(\frac{1}{2 \sqrt{x}} \right)} & \text{for}\: \frac{1}{4 \left|{x}\right|} > 1 \\- 2 \operatorname{asin}{\left(\frac{1}{2 \sqrt{x}} \right)} & \text{otherwise} \end{cases}$$
Piecewise((2*i*acosh(1/(2*sqrt(x))), 1/(4*|x|) > 1), (-2*asin(1/(2*sqrt(x))), True))
Respuesta numérica [src]
Piecewise((2.0*i*acosh(1/(2*sqrt(x))), 1/(4*|x|) > 1), (-2.0*asin(1/(2*sqrt(x))), True))
Piecewise((2.0*i*acosh(1/(2*sqrt(x))), 1/(4*|x|) > 1), (-2.0*asin(1/(2*sqrt(x))), True))