Simplificación general
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/ ___ \
___ |\/ 2 *(-2 + x)|
\/ 3 *asinh|--------------|
\ 2*|1 + x| /
---------------------------
3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{2} \left(x - 2\right)}{2 \left|{x + 1}\right|} \right)}}{3}$$
sqrt(3)*asinh(sqrt(2)*(-2 + x)/(2*|1 + x|))/3
Descomposición de una fracción
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sqrt(3)*asinh(-sqrt(2)/|x + 1| + x*sqrt(2)/(2*|x + 1|))/3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{x + 1}\right|} - \frac{\sqrt{2}}{\left|{x + 1}\right|} \right)}}{3}$$
/ ___ ___ \
___ | \/ 2 x*\/ 2 |
\/ 3 *asinh|- ------- + ---------|
\ |x + 1| 2*|x + 1|/
----------------------------------
3
0.577350269189626*asinh(x/((sqrt(2)*|x + 1|)) - sqrt(2)/|x + 1|)
0.577350269189626*asinh(x/((sqrt(2)*|x + 1|)) - sqrt(2)/|x + 1|)
/ ___ ___ \
___ | \/ 2 x*\/ 2 |
\/ 3 *asinh|- ------- + ---------|
\ |1 + x| 2*|1 + x|/
----------------------------------
3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{x + 1}\right|} - \frac{\sqrt{2}}{\left|{x + 1}\right|} \right)}}{3}$$
sqrt(3)*asinh(-sqrt(2)/|1 + x| + x*sqrt(2)/(2*|1 + x|))/3
Unión de expresiones racionales
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/ ___ \
___ |\/ 2 *(-2 + x)|
\/ 3 *asinh|--------------|
\ 2*|1 + x| /
---------------------------
3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{2} \left(x - 2\right)}{2 \left|{x + 1}\right|} \right)}}{3}$$
sqrt(3)*asinh(sqrt(2)*(-2 + x)/(2*|1 + x|))/3
/ ___ ___ \
___ | \/ 2 x*\/ 2 |
\/ 3 *asinh|- ------- + ---------|
\ |1 + x| 2*|1 + x|/
----------------------------------
3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{x + 1}\right|} - \frac{\sqrt{2}}{\left|{x + 1}\right|} \right)}}{3}$$
sqrt(3)*asinh(-sqrt(2)/|1 + x| + x*sqrt(2)/(2*|1 + x|))/3
Parte trigonométrica
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/ ___ ___ \
___ | \/ 2 x*\/ 2 |
\/ 3 *asinh|- ------- + ---------|
\ |1 + x| 2*|1 + x|/
----------------------------------
3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{x + 1}\right|} - \frac{\sqrt{2}}{\left|{x + 1}\right|} \right)}}{3}$$
sqrt(3)*asinh(-sqrt(2)/|1 + x| + x*sqrt(2)/(2*|1 + x|))/3
Compilar la expresión
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/ ___ \
___ | x \/ 2 |
\/ 3 *asinh|------------- - -------|
| ___ |x + 1||
\\/ 2 *|x + 1| /
------------------------------------
3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{x}{\sqrt{2} \left|{x + 1}\right|} - \frac{\sqrt{2}}{\left|{x + 1}\right|} \right)}}{3}$$
sqrt(3)*asinh(x/((sqrt(2)*|x + 1|)) - sqrt(2)/|x + 1|)/3
Abrimos la expresión
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___ / ___ ___ \
\/ 3 | \/ 2 x*\/ 2 |
-----*asinh|- ------- + ---------|
3 \ |x + 1| 2*|x + 1|/
$$\frac{\sqrt{3}}{3} \operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{x + 1}\right|} - \frac{\sqrt{2}}{\left|{x + 1}\right|} \right)}$$
(sqrt(3)/3)*asinh(-sqrt(2)/|x + 1| + x*sqrt(2)/(2*|x + 1|))
/ ___ ___ \
___ | \/ 2 x*\/ 2 |
\/ 3 *asinh|- ------- + ---------|
\ |1 + x| 2*|1 + x|/
----------------------------------
3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{2} x}{2 \left|{x + 1}\right|} - \frac{\sqrt{2}}{\left|{x + 1}\right|} \right)}}{3}$$
sqrt(3)*asinh(-sqrt(2)/|1 + x| + x*sqrt(2)/(2*|1 + x|))/3
Denominador racional
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/ ___ \
___ |\/ 2 *(-2 + x)|
\/ 3 *asinh|--------------|
\ 2*|1 + x| /
---------------------------
3
$$\frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{2} \left(x - 2\right)}{2 \left|{x + 1}\right|} \right)}}{3}$$
sqrt(3)*asinh(sqrt(2)*(-2 + x)/(2*|1 + x|))/3