Descomposición de una fracción
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asin(-3*sqrt(5)/(5*|x - 1|) + x*sqrt(5)/(5*|x - 1|))
$$\operatorname{asin}{\left(\frac{\sqrt{5} x}{5 \left|{x - 1}\right|} - \frac{3 \sqrt{5}}{5 \left|{x - 1}\right|} \right)}$$
/ ___ ___ \
| 3*\/ 5 x*\/ 5 |
asin|- --------- + ---------|
\ 5*|x - 1| 5*|x - 1|/
Simplificación general
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/ ___ \
|\/ 5 *(-3 + x)|
asin|--------------|
\ 5*|-1 + x| /
$$\operatorname{asin}{\left(\frac{\sqrt{5} \left(x - 3\right)}{5 \left|{x - 1}\right|} \right)}$$
asin(sqrt(5)*(-3 + x)/(5*|-1 + x|))
Abrimos la expresión
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/ ___ ___ \
| 3*\/ 5 x*\/ 5 |
asin|- --------- + ---------|
\ 5*|x - 1| 5*|x - 1|/
$$\operatorname{asin}{\left(\frac{\sqrt{5} x}{5 \left|{x - 1}\right|} - \frac{3 \sqrt{5}}{5 \left|{x - 1}\right|} \right)}$$
asin(-3*sqrt(5)/(5*|x - 1|) + x*sqrt(5)/(5*|x - 1|))
Denominador racional
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/ ___ \
|\/ 5 *(-3 + x)|
asin|--------------|
\ 5*|-1 + x| /
$$\operatorname{asin}{\left(\frac{\sqrt{5} \left(x - 3\right)}{5 \left|{x - 1}\right|} \right)}$$
asin(sqrt(5)*(-3 + x)/(5*|-1 + x|))
asin(x/((sqrt(5)*|x - 1|)) - 3*sqrt(5)/(5*|x - 1|))
asin(x/((sqrt(5)*|x - 1|)) - 3*sqrt(5)/(5*|x - 1|))
Parte trigonométrica
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/ ___ ___ \
| 3*\/ 5 x*\/ 5 |
asin|- ---------- + ----------|
\ 5*|-1 + x| 5*|-1 + x|/
$$\operatorname{asin}{\left(\frac{\sqrt{5} x}{5 \left|{x - 1}\right|} - \frac{3 \sqrt{5}}{5 \left|{x - 1}\right|} \right)}$$
asin(-3*sqrt(5)/(5*|-1 + x|) + x*sqrt(5)/(5*|-1 + x|))
/ ___ ___ \
| 3*\/ 5 x*\/ 5 |
asin|- ---------- + ----------|
\ 5*|-1 + x| 5*|-1 + x|/
$$\operatorname{asin}{\left(\frac{\sqrt{5} x}{5 \left|{x - 1}\right|} - \frac{3 \sqrt{5}}{5 \left|{x - 1}\right|} \right)}$$
asin(-3*sqrt(5)/(5*|-1 + x|) + x*sqrt(5)/(5*|-1 + x|))
/ ___ ___ \
| 3*\/ 5 x*\/ 5 |
asin|- ---------- + ----------|
\ 5*|-1 + x| 5*|-1 + x|/
$$\operatorname{asin}{\left(\frac{\sqrt{5} x}{5 \left|{x - 1}\right|} - \frac{3 \sqrt{5}}{5 \left|{x - 1}\right|} \right)}$$
asin(-3*sqrt(5)/(5*|-1 + x|) + x*sqrt(5)/(5*|-1 + x|))
/ ___ ___ \
| 3*\/ 5 x*\/ 5 |
asin|- ---------- + ----------|
\ 5*|-1 + x| 5*|-1 + x|/
$$\operatorname{asin}{\left(\frac{\sqrt{5} x}{5 \left|{x - 1}\right|} - \frac{3 \sqrt{5}}{5 \left|{x - 1}\right|} \right)}$$
asin(-3*sqrt(5)/(5*|-1 + x|) + x*sqrt(5)/(5*|-1 + x|))
Unión de expresiones racionales
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/ ___ \
|\/ 5 *(-3 + x)|
asin|--------------|
\ 5*|-1 + x| /
$$\operatorname{asin}{\left(\frac{\sqrt{5} \left(x - 3\right)}{5 \left|{x - 1}\right|} \right)}$$
asin(sqrt(5)*(-3 + x)/(5*|-1 + x|))