Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sin(E)^(sqrt(x))*log(sin(E))/(2*sqrt(x))
¿Cómo vas a descomponer esta sin(E)^(sqrt(x))*log(sin(E))/(2*sqrt(x)) expresión en fracciones?
Solución
Ha introducido
[src]
___
\/ x
(sin(E)) *log(sin(E))
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2*\/ x
$$\frac{\log{\left(\sin{\left(e \right)} \right)} \sin^{\sqrt{x}}{\left(e \right)}}{2 \sqrt{x}}$$
(sin(E)^(sqrt(x))*log(sin(E)))/((2*sqrt(x)))
Denominador racional
[src]
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___ \/ x
\/ x *(sin(E)) *log(sin(E))
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2*x
$$\frac{\sqrt{x} \log{\left(\sin{\left(e \right)} \right)} \sin^{\sqrt{x}}{\left(e \right)}}{2 x}$$
sqrt(x)*sin(E)^(sqrt(x))*log(sin(E))/(2*x)
Potencias
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\/ x
/ / -E*I E*I\ \ / / -E*I E*I\ \
|-I*\- e + e / | |-I*\- e + e / |
|--------------------| *log|--------------------|
\ 2 / \ 2 /
-----------------------------------------------------
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2*\/ x
$$\frac{\left(- \frac{i \left(e^{e i} - e^{- e i}\right)}{2}\right)^{\sqrt{x}} \log{\left(- \frac{i \left(e^{e i} - e^{- e i}\right)}{2} \right)}}{2 \sqrt{x}}$$
(-i*(-exp(-E*i) + exp(E*i))/2)^(sqrt(x))*log(-i*(-exp(-E*i) + exp(E*i))/2)/(2*sqrt(x))
Respuesta numérica
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-0.444847173009093*0.410781290502909^(x^0.5)*x^(-0.5)
-0.444847173009093*0.410781290502909^(x^0.5)*x^(-0.5)