Simplificación general
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4 3 / ___\
log (x) 4*log (x)*asin\\/ x /
----------------- + ---------------------
___ _______ x
2*\/ x *\/ 1 - x
$$\frac{4 \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)}}{x} + \frac{\log{\left(x \right)}^{4}}{2 \sqrt{x} \sqrt{1 - x}}$$
log(x)^4/(2*sqrt(x)*sqrt(1 - x)) + 4*log(x)^3*asin(sqrt(x))/x
3 / ___ _______ / ___\\
log (x)*\x*log(x) + 8*\/ x *\/ 1 - x *asin\\/ x //
--------------------------------------------------
3/2 _______
2*x *\/ 1 - x
$$\frac{\left(8 \sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)} + x \log{\left(x \right)}\right) \log{\left(x \right)}^{3}}{2 x^{\frac{3}{2}} \sqrt{1 - x}}$$
log(x)^3*(x*log(x) + 8*sqrt(x)*sqrt(1 - x)*asin(sqrt(x)))/(2*x^(3/2)*sqrt(1 - x))
4 3 / ___\
log (x) 4*log (x)*asin\\/ x /
--------------- + ---------------------
___________ x
2*\/ x*(1 - x)
$$\frac{\log{\left(x \right)}^{4}}{2 \sqrt{x \left(1 - x\right)}} + \frac{4 \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)}}{x}$$
4 3 / ___\
log (x) 4*log (x)*asin\\/ x /
----------------- + ---------------------
___ _______ x
2*\/ x *\/ 1 - x
$$\frac{4 \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)}}{x} + \frac{\log{\left(x \right)}^{4}}{2 \sqrt{x} \sqrt{1 - x}}$$
log(x)^4/(2*sqrt(x)*sqrt(1 - x)) + 4*log(x)^3*asin(sqrt(x))/x
Parte trigonométrica
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4 3 / ___\
log (x) 4*log (x)*asin\\/ x /
----------------- + ---------------------
___ _______ x
2*\/ x *\/ 1 - x
$$\frac{4 \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)}}{x} + \frac{\log{\left(x \right)}^{4}}{2 \sqrt{x} \sqrt{1 - x}}$$
log(x)^4/(2*sqrt(x)*sqrt(1 - x)) + 4*log(x)^3*asin(sqrt(x))/x
Denominador racional
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____ ____ ____
/ 3 _______ 4 ___ / 3 3 / ___\ 3/2 / 3 3 / ___\
- x*\/ x *\/ 1 - x *log (x) - 8*\/ x *\/ x *log (x)*asin\\/ x / + 8*x *\/ x *log (x)*asin\\/ x /
--------------------------------------------------------------------------------------------------------
3
2*x *(-1 + x)
$$\frac{8 x^{\frac{3}{2}} \sqrt{x^{3}} \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)} - 8 \sqrt{x} \sqrt{x^{3}} \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)} - x \sqrt{1 - x} \sqrt{x^{3}} \log{\left(x \right)}^{4}}{2 x^{3} \left(x - 1\right)}$$
(-x*sqrt(x^3)*sqrt(1 - x)*log(x)^4 - 8*sqrt(x)*sqrt(x^3)*log(x)^3*asin(sqrt(x)) + 8*x^(3/2)*sqrt(x^3)*log(x)^3*asin(sqrt(x)))/(2*x^3*(-1 + x))
4 ___ _______ 3 / ___\
x*log (x) + 8*\/ x *\/ 1 - x *log (x)*asin\\/ x /
-------------------------------------------------
3/2 _______
2*x *\/ 1 - x
$$\frac{8 \sqrt{x} \sqrt{1 - x} \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)} + x \log{\left(x \right)}^{4}}{2 x^{\frac{3}{2}} \sqrt{1 - x}}$$
(x*log(x)^4 + 8*sqrt(x)*sqrt(1 - x)*log(x)^3*asin(sqrt(x)))/(2*x^(3/2)*sqrt(1 - x))
Unión de expresiones racionales
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3 / ___ _______ / ___\\
log (x)*\x*log(x) + 8*\/ x *\/ 1 - x *asin\\/ x //
--------------------------------------------------
3/2 _______
2*x *\/ 1 - x
$$\frac{\left(8 \sqrt{x} \sqrt{1 - x} \operatorname{asin}{\left(\sqrt{x} \right)} + x \log{\left(x \right)}\right) \log{\left(x \right)}^{3}}{2 x^{\frac{3}{2}} \sqrt{1 - x}}$$
log(x)^3*(x*log(x) + 8*sqrt(x)*sqrt(1 - x)*asin(sqrt(x)))/(2*x^(3/2)*sqrt(1 - x))
0.5*x^(-0.5)*(1.0 - x)^(-0.5)*log(x)^4 + 4.0*log(x)^3*asin(sqrt(x))/x
0.5*x^(-0.5)*(1.0 - x)^(-0.5)*log(x)^4 + 4.0*log(x)^3*asin(sqrt(x))/x
Compilar la expresión
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4 3 / ___\
log (x) 4*log (x)*asin\\/ x /
----------------- + ---------------------
___ _______ x
2*\/ x *\/ 1 - x
$$\frac{4 \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)}}{x} + \frac{\log{\left(x \right)}^{4}}{2 \sqrt{x} \sqrt{1 - x}}$$
log(x)^4/(2*sqrt(x)*sqrt(1 - x)) + 4*log(x)^3*asin(sqrt(x))/x
Abrimos la expresión
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3 / ___\ 4
4*log (x)*asin\\/ x / log (x)
--------------------- + -----------------
x ___ _______
2*\/ x *\/ 1 - x
$$\frac{4 \log{\left(x \right)}^{3} \operatorname{asin}{\left(\sqrt{x} \right)}}{x} + \frac{\log{\left(x \right)}^{4}}{2 \sqrt{x} \sqrt{1 - x}}$$
((4*log(x)^3)*asin(sqrt(x)))/x + log(x)^4/(2*sqrt(x)*sqrt(1 - x))