Simplificación general
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/ ___ \
|\/ 6 *(1 + 2*x)|
asinh|---------------|
\ 6 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} \left(2 x + 1\right)}{6} \right)}}{2}$$
asinh(sqrt(6)*(1 + 2*x)/6)/2
Descomposición de una fracción
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asinh(sqrt(6)/6 + x*sqrt(6)/3)/2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} x}{3} + \frac{\sqrt{6}}{6} \right)}}{2}$$
/ ___ ___\
|\/ 6 x*\/ 6 |
asinh|----- + -------|
\ 6 3 /
----------------------
2
0.5*asinh((8*x + 4)/((4*sqrt(6))))
0.5*asinh((8*x + 4)/((4*sqrt(6))))
/ ___ ___\
|\/ 6 x*\/ 6 |
asinh|----- + -------|
\ 6 3 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} x}{3} + \frac{\sqrt{6}}{6} \right)}}{2}$$
asinh(sqrt(6)/6 + x*sqrt(6)/3)/2
Abrimos la expresión
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/ ___ \
|\/ 6 *(8*x + 4)|
asinh|---------------|
\ 24 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} \left(8 x + 4\right)}{24} \right)}}{2}$$
asinh(sqrt(6)*(8*x + 4)/24)/2
/ ___ /1 x\\
asinh|\/ 6 *|- + -||
\ \6 3//
--------------------
2
$$\frac{\operatorname{asinh}{\left(\sqrt{6} \left(\frac{x}{3} + \frac{1}{6}\right) \right)}}{2}$$
/ ___ \
|\/ 6 *(4 + 8*x)|
asinh|---------------|
\ 24 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} \left(8 x + 4\right)}{24} \right)}}{2}$$
asinh(sqrt(6)*(4 + 8*x)/24)/2
Denominador racional
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/ ___ \
|\/ 6 *(1 + 2*x)|
asinh|---------------|
\ 6 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} \left(2 x + 1\right)}{6} \right)}}{2}$$
asinh(sqrt(6)*(1 + 2*x)/6)/2
Parte trigonométrica
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/ ___ \
|\/ 6 *(4 + 8*x)|
asinh|---------------|
\ 24 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} \left(8 x + 4\right)}{24} \right)}}{2}$$
asinh(sqrt(6)*(4 + 8*x)/24)/2
Unión de expresiones racionales
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/ ___ \
|\/ 6 *(1 + 2*x)|
asinh|---------------|
\ 6 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} \left(2 x + 1\right)}{6} \right)}}{2}$$
asinh(sqrt(6)*(1 + 2*x)/6)/2
/ ___ ___\
|\/ 6 x*\/ 6 |
asinh|----- + -------|
\ 6 3 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{6} x}{3} + \frac{\sqrt{6}}{6} \right)}}{2}$$
asinh(sqrt(6)/6 + x*sqrt(6)/3)/2