Simplificación general
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/ ___ \
|\/ 5 *(-1 + 2*x)|
asinh|----------------|
\ 5 /
-----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{5} \left(2 x - 1\right)}{5} \right)}}{2}$$
asinh(sqrt(5)*(-1 + 2*x)/5)/2
Descomposición de una fracción
[src]
asinh(-sqrt(5)/5 + 2*x*sqrt(5)/5)/2
$$\frac{\operatorname{asinh}{\left(\frac{2 \sqrt{5} x}{5} - \frac{\sqrt{5}}{5} \right)}}{2}$$
/ ___ ___\
| \/ 5 2*x*\/ 5 |
asinh|- ----- + ---------|
\ 5 5 /
--------------------------
2
0.5*asinh((8*x - 4)/((4*sqrt(5))))
0.5*asinh((8*x - 4)/((4*sqrt(5))))
Denominador racional
[src]
/ ___ \
|\/ 5 *(-1 + 2*x)|
asinh|----------------|
\ 5 /
-----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{5} \left(2 x - 1\right)}{5} \right)}}{2}$$
asinh(sqrt(5)*(-1 + 2*x)/5)/2
/ ___ \
|\/ 5 *(-4 + 8*x)|
asinh|----------------|
\ 20 /
-----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{5} \left(8 x - 4\right)}{20} \right)}}{2}$$
/ ___ / 1 2*x\\
asinh|\/ 5 *|- - + ---||
\ \ 5 5 //
------------------------
2
$$\frac{\operatorname{asinh}{\left(\sqrt{5} \left(\frac{2 x}{5} - \frac{1}{5}\right) \right)}}{2}$$
asinh(sqrt(5)*(-1/5 + 2*x/5))/2
/ ___ ___\
| \/ 5 2*x*\/ 5 |
asinh|- ----- + ---------|
\ 5 5 /
--------------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{2 \sqrt{5} x}{5} - \frac{\sqrt{5}}{5} \right)}}{2}$$
asinh(-sqrt(5)/5 + 2*x*sqrt(5)/5)/2
Abrimos la expresión
[src]
/ ___ \
|\/ 5 *(8*x - 4)|
asinh|---------------|
\ 20 /
----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{5} \left(8 x - 4\right)}{20} \right)}}{2}$$
asinh(sqrt(5)*(8*x - 4)/20)/2
Parte trigonométrica
[src]
/ ___ \
|\/ 5 *(-4 + 8*x)|
asinh|----------------|
\ 20 /
-----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{5} \left(8 x - 4\right)}{20} \right)}}{2}$$
asinh(sqrt(5)*(-4 + 8*x)/20)/2
/ ___ ___\
| \/ 5 2*x*\/ 5 |
asinh|- ----- + ---------|
\ 5 5 /
--------------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{2 \sqrt{5} x}{5} - \frac{\sqrt{5}}{5} \right)}}{2}$$
asinh(-sqrt(5)/5 + 2*x*sqrt(5)/5)/2
Unión de expresiones racionales
[src]
/ ___ \
|\/ 5 *(-1 + 2*x)|
asinh|----------------|
\ 5 /
-----------------------
2
$$\frac{\operatorname{asinh}{\left(\frac{\sqrt{5} \left(2 x - 1\right)}{5} \right)}}{2}$$
asinh(sqrt(5)*(-1 + 2*x)/5)/2