Simplificación general
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_____________________
2/3 3 / 2
2*x*2 *\/ (1 + x) *(-1 + 2*x)
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(1 + x)*(-1 + 2*x)
$$\frac{2 \cdot 2^{\frac{2}{3}} x \sqrt[3]{\left(x + 1\right)^{2} \left(2 x - 1\right)}}{\left(x + 1\right) \left(2 x - 1\right)}$$
2*x*2^(2/3)*((1 + x)^2*(-1 + 2*x))^(1/3)/((1 + x)*(-1 + 2*x))
Denominador racional
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_____________________
3 / 2 / 2 \
\/ (1 + x) *(-4 + 8*x) *\8*(1 + x) + (-4 + 8*x)*(2 + 2*x)/
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2
3*(1 + x) *(-4 + 8*x)
$$\frac{\sqrt[3]{\left(x + 1\right)^{2} \left(8 x - 4\right)} \left(8 \left(x + 1\right)^{2} + \left(2 x + 2\right) \left(8 x - 4\right)\right)}{3 \left(x + 1\right)^{2} \left(8 x - 4\right)}$$
((1 + x)^2*(-4 + 8*x))^(1/3)*(8*(1 + x)^2 + (-4 + 8*x)*(2 + 2*x))/(3*(1 + x)^2*(-4 + 8*x))
Abrimos la expresión
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__________ / 2 \
3 / 2 |8*(x + 1) (2 + 2*x)*(8*x - 4)|
\/ (x + 1) *|---------- + -------------------|
\ 3 3 /
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2 2/3
(x + 1) *(8*x - 4)
$$\frac{\left(\frac{\left(2 x + 2\right) \left(8 x - 4\right)}{3} + \frac{8 \left(x + 1\right)^{2}}{3}\right) \sqrt[3]{\left(x + 1\right)^{2}}}{\left(x + 1\right)^{2} \left(8 x - 4\right)^{\frac{2}{3}}}$$
((x + 1)^2)^(1/3)*((8*(x + 1)^2)/3 + ((2 + 2*x)*(8*x - 4))/3)/((x + 1)^2*(8*x - 4)^(2/3))
Parte trigonométrica
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_____________________ / 2 \
3 / 2 |8*(1 + x) (-4 + 8*x)*(2 + 2*x)|
\/ (1 + x) *(-4 + 8*x) *|---------- + --------------------|
\ 3 3 /
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2
(1 + x) *(-4 + 8*x)
$$\frac{\sqrt[3]{\left(x + 1\right)^{2} \left(8 x - 4\right)} \left(\frac{8 \left(x + 1\right)^{2}}{3} + \frac{\left(2 x + 2\right) \left(8 x - 4\right)}{3}\right)}{\left(x + 1\right)^{2} \left(8 x - 4\right)}$$
((1 + x)^2*(-4 + 8*x))^(1/3)*(8*(1 + x)^2/3 + (-4 + 8*x)*(2 + 2*x)/3)/((1 + x)^2*(-4 + 8*x))
((1.0 + x)^2*(-4.0 + 8.0*x))^0.333333333333333*(2.66666666666667*(1.0 + x)^2 + 0.333333333333333*(2.0 + 2.0*x)*(-4.0 + 8.0*x))/((1.0 + x)^2*(-4.0 + 8.0*x))
((1.0 + x)^2*(-4.0 + 8.0*x))^0.333333333333333*(2.66666666666667*(1.0 + x)^2 + 0.333333333333333*(2.0 + 2.0*x)*(-4.0 + 8.0*x))/((1.0 + x)^2*(-4.0 + 8.0*x))
Compilar la expresión
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_____________________ / 2 \
3 / 2 |8*(1 + x) (-4 + 8*x)*(2 + 2*x)|
\/ (1 + x) *(-4 + 8*x) *|---------- + --------------------|
\ 3 3 /
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2
(1 + x) *(-4 + 8*x)
$$\frac{\sqrt[3]{\left(x + 1\right)^{2} \left(8 x - 4\right)} \left(\frac{8 \left(x + 1\right)^{2}}{3} + \frac{\left(2 x + 2\right) \left(8 x - 4\right)}{3}\right)}{\left(x + 1\right)^{2} \left(8 x - 4\right)}$$
((1 + x)^2*(-4 + 8*x))^(1/3)*(8*(1 + x)^2/3 + (-4 + 8*x)*(2 + 2*x)/3)/((1 + x)^2*(-4 + 8*x))
Unión de expresiones racionales
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2/3 3 / 2 /8 8*x\
3*x*2 *\/ (1 + x) *(-1 + 2*x) *|- + ---|
\3 3 /
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2
4*(1 + x) *(-1 + 2*x)
$$\frac{3 \cdot 2^{\frac{2}{3}} x \sqrt[3]{\left(x + 1\right)^{2} \left(2 x - 1\right)} \left(\frac{8 x}{3} + \frac{8}{3}\right)}{4 \left(x + 1\right)^{2} \left(2 x - 1\right)}$$
3*x*2^(2/3)*((1 + x)^2*(-1 + 2*x))^(1/3)*(8/3 + 8*x/3)/(4*(1 + x)^2*(-1 + 2*x))
_____________________ / 2 \
3 / 2 |8*(1 + x) (-4 + 8*x)*(2 + 2*x)|
\/ (1 + x) *(-4 + 8*x) *|---------- + --------------------|
\ 3 3 /
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2
(1 + x) *(-4 + 8*x)
$$\frac{\sqrt[3]{\left(x + 1\right)^{2} \left(8 x - 4\right)} \left(\frac{8 \left(x + 1\right)^{2}}{3} + \frac{\left(2 x + 2\right) \left(8 x - 4\right)}{3}\right)}{\left(x + 1\right)^{2} \left(8 x - 4\right)}$$
((1 + x)^2*(-4 + 8*x))^(1/3)*(8*(1 + x)^2/3 + (-4 + 8*x)*(2 + 2*x)/3)/((1 + x)^2*(-4 + 8*x))
_____________________
2/3 3 / 2
2*x*2 *\/ (1 + x) *(-1 + 2*x)
---------------------------------
(1 + x)*(-1 + 2*x)
$$\frac{2 \cdot 2^{\frac{2}{3}} x \sqrt[3]{\left(x + 1\right)^{2} \left(2 x - 1\right)}}{\left(x + 1\right) \left(2 x - 1\right)}$$
2*x*2^(2/3)*((1 + x)^2*(-1 + 2*x))^(1/3)/((1 + x)*(-1 + 2*x))
__________________
2/3 3 / 3 2
2*x*2 *\/ -1 + 2*x + 3*x
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2
-1 + x + 2*x
$$\frac{2 \cdot 2^{\frac{2}{3}} x \sqrt[3]{2 x^{3} + 3 x^{2} - 1}}{2 x^{2} + x - 1}$$
2*x*2^(2/3)*(-1 + 2*x^3 + 3*x^2)^(1/3)/(-1 + x + 2*x^2)