Descomposición de una fracción
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sqrt(5)*atan(-sqrt(5)/5 + 2*x*sqrt(5)/5)/5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{2 \sqrt{5} x}{5} - \frac{\sqrt{5}}{5} \right)}}{5}$$
/ ___ ___\
___ | \/ 5 2*x*\/ 5 |
\/ 5 *atan|- ----- + ---------|
\ 5 5 /
-------------------------------
5
Simplificación general
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/ ___ \
___ |\/ 5 *(-1 + 2*x)|
\/ 5 *atan|----------------|
\ 5 /
----------------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} \left(2 x - 1\right)}{5} \right)}}{5}$$
sqrt(5)*atan(sqrt(5)*(-1 + 2*x)/5)/5
0.447213595499958*atan((4*x - 2)/((2*sqrt(5))))
0.447213595499958*atan((4*x - 2)/((2*sqrt(5))))
Unión de expresiones racionales
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/ ___ \
___ |\/ 5 *(-1 + 2*x)|
\/ 5 *atan|----------------|
\ 5 /
----------------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} \left(2 x - 1\right)}{5} \right)}}{5}$$
sqrt(5)*atan(sqrt(5)*(-1 + 2*x)/5)/5
/ ___ ___\
___ | \/ 5 2*x*\/ 5 |
\/ 5 *atan|- ----- + ---------|
\ 5 5 /
-------------------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{2 \sqrt{5} x}{5} - \frac{\sqrt{5}}{5} \right)}}{5}$$
sqrt(5)*atan(-sqrt(5)/5 + 2*x*sqrt(5)/5)/5
/ ___ ___\
___ | \/ 5 2*x*\/ 5 |
\/ 5 *atan|- ----- + ---------|
\ 5 5 /
-------------------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{2 \sqrt{5} x}{5} - \frac{\sqrt{5}}{5} \right)}}{5}$$
sqrt(5)*atan(-sqrt(5)/5 + 2*x*sqrt(5)/5)/5
Parte trigonométrica
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/ ___ \
___ |\/ 5 *(-2 + 4*x)|
\/ 5 *atan|----------------|
\ 10 /
----------------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} \left(4 x - 2\right)}{10} \right)}}{5}$$
sqrt(5)*atan(sqrt(5)*(-2 + 4*x)/10)/5
Compilar la expresión
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___ /4*x - 2\
\/ 5 *atan|-------|
| ___|
\2*\/ 5 /
-------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{4 x - 2}{2 \sqrt{5}} \right)}}{5}$$
sqrt(5)*atan((4*x - 2)/((2*sqrt(5))))/5
Denominador racional
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/ ___ \
___ |\/ 5 *(-1 + 2*x)|
\/ 5 *atan|----------------|
\ 5 /
----------------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} \left(2 x - 1\right)}{5} \right)}}{5}$$
sqrt(5)*atan(sqrt(5)*(-1 + 2*x)/5)/5
Abrimos la expresión
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___ / ___ \
\/ 5 |\/ 5 *(4*x - 2)|
-----*atan|---------------|
5 \ 10 /
$$\frac{\sqrt{5}}{5} \operatorname{atan}{\left(\frac{\sqrt{5} \left(4 x - 2\right)}{10} \right)}$$
(sqrt(5)/5)*atan(sqrt(5)*(4*x - 2)/10)
/ ___ \
___ |\/ 5 *(-2 + 4*x)|
\/ 5 *atan|----------------|
\ 10 /
----------------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} \left(4 x - 2\right)}{10} \right)}}{5}$$
___ / ___ / 1 2*x\\
\/ 5 *atan|\/ 5 *|- - + ---||
\ \ 5 5 //
-----------------------------
5
$$\frac{\sqrt{5} \operatorname{atan}{\left(\sqrt{5} \left(\frac{2 x}{5} - \frac{1}{5}\right) \right)}}{5}$$
sqrt(5)*atan(sqrt(5)*(-1/5 + 2*x/5))/5