Simplificación general
[src]
/ ___ \
|\/ 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
[src]
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))))
Parte trigonométrica
[src]
/ ___ \
|\/ 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
/ ___ ___\
| \/ 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
Denominador racional
[src]
/ ___ \
|\/ 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
Abrimos la expresión
[src]
/ ___ \
|\/ 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
Unión de expresiones racionales
[src]
/ ___ \
|\/ 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
/ ___ / 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
/ ___ ___\
| \/ 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