Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
asin(x)/(x*log(5))+log(x)/(sqrt(1-x^2)*log(5))
¿Cómo vas a descomponer esta asin(x)/(x*log(5))+log(x)/(sqrt(1-x^2)*log(5)) expresión en fracciones?
Solución
Ha introducido
[src]
asin(x) log(x)
-------- + ------------------
x*log(5) ________
/ 2
\/ 1 - x *log(5)
$$\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}} \log{\left(5 \right)}} + \frac{\operatorname{asin}{\left(x \right)}}{x \log{\left(5 \right)}}$$
asin(x)/((x*log(5))) + log(x)/((sqrt(1 - x^2)*log(5)))
Respuesta numérica
[src]
0.621334934559612*asin(x)/x + 0.621334934559612*(1.0 - x^2)^(-0.5)*log(x)
0.621334934559612*asin(x)/x + 0.621334934559612*(1.0 - x^2)^(-0.5)*log(x)
Denominador racional
[src]
________
2 / 2
-asin(x)*log(5) + x *asin(x)*log(5) - x*\/ 1 - x *log(5)*log(x)
-----------------------------------------------------------------
/ 2\ 2
x*\-1 + x /*log (5)
$$\frac{x^{2} \log{\left(5 \right)} \operatorname{asin}{\left(x \right)} - x \sqrt{1 - x^{2}} \log{\left(5 \right)} \log{\left(x \right)} - \log{\left(5 \right)} \operatorname{asin}{\left(x \right)}}{x \left(x^{2} - 1\right) \log{\left(5 \right)}^{2}}$$
(-asin(x)*log(5) + x^2*asin(x)*log(5) - x*sqrt(1 - x^2)*log(5)*log(x))/(x*(-1 + x^2)*log(5)^2)
Combinatoria
[src]
________
/ 2
x*log(x) + \/ 1 - x *asin(x)
------------------------------
___________________
x*\/ -(1 + x)*(-1 + x) *log(5)
$$\frac{x \log{\left(x \right)} + \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}{x \sqrt{- \left(x - 1\right) \left(x + 1\right)} \log{\left(5 \right)}}$$
(x*log(x) + sqrt(1 - x^2)*asin(x))/(x*sqrt(-(1 + x)*(-1 + x))*log(5))
Unión de expresiones racionales
[src]
________
/ 2
x*log(x) + \/ 1 - x *asin(x)
------------------------------
________
/ 2
x*\/ 1 - x *log(5)
$$\frac{x \log{\left(x \right)} + \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}{x \sqrt{1 - x^{2}} \log{\left(5 \right)}}$$
(x*log(x) + sqrt(1 - x^2)*asin(x))/(x*sqrt(1 - x^2)*log(5))
Denominador común
[src]
________
/ 2
x*log(x) + \/ 1 - x *asin(x)
------------------------------
________
/ 2
x*\/ 1 - x *log(5)
$$\frac{x \log{\left(x \right)} + \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}{x \sqrt{1 - x^{2}} \log{\left(5 \right)}}$$
(x*log(x) + sqrt(1 - x^2)*asin(x))/(x*sqrt(1 - x^2)*log(5))