Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt(x)/sqrt(1-x^2)+asin(x)/(2*sqrt(x))
¿Cómo vas a descomponer esta sqrt(x)/sqrt(1-x^2)+asin(x)/(2*sqrt(x)) expresión en fracciones?
Solución
Ha introducido
[src]
___ \/ x asin(x) ----------- + ------- ________ ___ / 2 2*\/ x \/ 1 - x
$$\frac{\sqrt{x}}{\sqrt{1 - x^{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{2 \sqrt{x}}$$
sqrt(x)/sqrt(1 - x^2) + asin(x)/((2*sqrt(x)))
Respuesta numérica
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x^0.5*(1.0 - x^2)^(-0.5) + 0.5*x^(-0.5)*asin(x)
x^0.5*(1.0 - x^2)^(-0.5) + 0.5*x^(-0.5)*asin(x)
Unión de expresiones racionales
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________
/ 2
2*x + \/ 1 - x *asin(x)
-------------------------
________
___ / 2
2*\/ x *\/ 1 - x
$$\frac{2 x + \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}{2 \sqrt{x} \sqrt{1 - x^{2}}}$$
(2*x + sqrt(1 - x^2)*asin(x))/(2*sqrt(x)*sqrt(1 - x^2))
Denominador común
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________
/ 2
2*x + \/ 1 - x *asin(x)
-------------------------
________
___ / 2
2*\/ x *\/ 1 - x
$$\frac{2 x + \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}{2 \sqrt{x} \sqrt{1 - x^{2}}}$$
(2*x + sqrt(1 - x^2)*asin(x))/(2*sqrt(x)*sqrt(1 - x^2))
Denominador racional
[src]
________
2 / 2
-asin(x) + x *asin(x) - 2*x*\/ 1 - x
---------------------------------------
___ / 2\
2*\/ x *\-1 + x /
$$\frac{x^{2} \operatorname{asin}{\left(x \right)} - 2 x \sqrt{1 - x^{2}} - \operatorname{asin}{\left(x \right)}}{2 \sqrt{x} \left(x^{2} - 1\right)}$$
(-asin(x) + x^2*asin(x) - 2*x*sqrt(1 - x^2))/(2*sqrt(x)*(-1 + x^2))
Combinatoria
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________
/ 2
2*x + \/ 1 - x *asin(x)
-----------------------------
___ ___________________
2*\/ x *\/ -(1 + x)*(-1 + x)
$$\frac{2 x + \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}{2 \sqrt{x} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}$$
(2*x + sqrt(1 - x^2)*asin(x))/(2*sqrt(x)*sqrt(-(1 + x)*(-1 + x)))