Simplificación general
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/ ___ \
|\/ 2 *(-4 + x)|
asinh|--------------|
\ 2*|1 + 2*x| /
---------------------
3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} \left(x - 4\right)}{2 \left|{2 x + 1}\right|} \right)}}{3}$$
asinh(sqrt(2)*(-4 + x)/(2*|1 + 2*x|))/3
Descomposición de una fracción
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asinh(-2*sqrt(2)/|2*x + 1| + x*sqrt(2)/(2*|2*x + 1|))/3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{2 x + 1}\right|} - \frac{2 \sqrt{2}}{\left|{2 x + 1}\right|} \right)}}{3}$$
/ ___ ___ \
| 2*\/ 2 x*\/ 2 |
asinh|- --------- + -----------|
\ |2*x + 1| 2*|2*x + 1|/
--------------------------------
3
0.333333333333333*asinh(x/((sqrt(2)*|2*x + 1|)) - 2^(3/2)/|2*x + 1|)
0.333333333333333*asinh(x/((sqrt(2)*|2*x + 1|)) - 2^(3/2)/|2*x + 1|)
Parte trigonométrica
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/ ___ ___ \
| 2*\/ 2 x*\/ 2 |
asinh|- --------- + -----------|
\ |1 + 2*x| 2*|1 + 2*x|/
--------------------------------
3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{2 x + 1}\right|} - \frac{2 \sqrt{2}}{\left|{2 x + 1}\right|} \right)}}{3}$$
asinh(-2*sqrt(2)/|1 + 2*x| + x*sqrt(2)/(2*|1 + 2*x|))/3
Abrimos la expresión
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/ 3/2 ___ \
| 2 x*\/ 2 |
asinh|- --------- + -----------|
\ |2*x + 1| 2*|2*x + 1|/
--------------------------------
3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{2 x + 1}\right|} - \frac{2^{\frac{3}{2}}}{\left|{2 x + 1}\right|} \right)}}{3}$$
asinh(-2^(3/2)/|2*x + 1| + x*sqrt(2)/(2*|2*x + 1|))/3
Denominador racional
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/ ___ \
|\/ 2 *(-4 + x)|
asinh|--------------|
\ 2*|1 + 2*x| /
---------------------
3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} \left(x - 4\right)}{2 \left|{2 x + 1}\right|} \right)}}{3}$$
asinh(sqrt(2)*(-4 + x)/(2*|1 + 2*x|))/3
/ ___ ___ \
| 2*\/ 2 x*\/ 2 |
asinh|- --------- + -----------|
\ |1 + 2*x| 2*|1 + 2*x|/
--------------------------------
3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{2 x + 1}\right|} - \frac{2 \sqrt{2}}{\left|{2 x + 1}\right|} \right)}}{3}$$
asinh(-2*sqrt(2)/|1 + 2*x| + x*sqrt(2)/(2*|1 + 2*x|))/3
/ ___ ___ \
| 2*\/ 2 x*\/ 2 |
asinh|- --------- + -----------|
\ |1 + 2*x| 2*|1 + 2*x|/
--------------------------------
3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{2 x + 1}\right|} - \frac{2 \sqrt{2}}{\left|{2 x + 1}\right|} \right)}}{3}$$
asinh(-2*sqrt(2)/|1 + 2*x| + x*sqrt(2)/(2*|1 + 2*x|))/3
Unión de expresiones racionales
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/ ___ \
|\/ 2 *(-4 + x)|
asinh|--------------|
\ 2*|1 + 2*x| /
---------------------
3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} \left(x - 4\right)}{2 \left|{2 x + 1}\right|} \right)}}{3}$$
asinh(sqrt(2)*(-4 + x)/(2*|1 + 2*x|))/3
/ ___ ___ \
| 2*\/ 2 x*\/ 2 |
asinh|- --------- + -----------|
\ |1 + 2*x| 2*|1 + 2*x|/
--------------------------------
3
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{2 x + 1}\right|} - \frac{2 \sqrt{2}}{\left|{2 x + 1}\right|} \right)}}{3}$$
asinh(-2*sqrt(2)/|1 + 2*x| + x*sqrt(2)/(2*|1 + 2*x|))/3