Simplificación general
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_______________ / ___ \
/ 2 ___ |\/ 6 *(7 + x)|
5*\/ -5 + x + 2*x + \/ 5 *(2 + x)*asin|-------------|
\ 6*|2 + x| /
--------------------------------------------------------
25*(2 + x)
$$\frac{\sqrt{5} \left(x + 2\right) \operatorname{asin}{\left(\frac{\sqrt{6} \left(x + 7\right)}{6 \left|{x + 2}\right|} \right)} + 5 \sqrt{x^{2} + 2 x - 5}}{25 \left(x + 2\right)}$$
(5*sqrt(-5 + x^2 + 2*x) + sqrt(5)*(2 + x)*asin(sqrt(6)*(7 + x)/(6*|2 + x|)))/(25*(2 + x))
0.0894427190999916*asin(x/((sqrt(6)*|x + 2|)) + 7/((sqrt(6)*|x + 2|))) + 2.23606797749979*(-1 + 0.2*x^2 + 0.4*x)^0.5/(10.0 + 5.0*x)
0.0894427190999916*asin(x/((sqrt(6)*|x + 2|)) + 7/((sqrt(6)*|x + 2|))) + 2.23606797749979*(-1 + 0.2*x^2 + 0.4*x)^0.5/(10.0 + 5.0*x)
_______________ / ___ ___ \ / ___ ___ \
/ 2 ___ | 7*\/ 6 x*\/ 6 | ___ | 7*\/ 6 x*\/ 6 |
5*\/ -5 + x + 2*x + 2*\/ 5 *asin|--------- + ---------| + x*\/ 5 *asin|--------- + ---------|
\6*|2 + x| 6*|2 + x|/ \6*|2 + x| 6*|2 + x|/
------------------------------------------------------------------------------------------------
25*(2 + x)
$$\frac{\sqrt{5} x \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)} + 5 \sqrt{x^{2} + 2 x - 5} + 2 \sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25 \left(x + 2\right)}$$
(5*sqrt(-5 + x^2 + 2*x) + 2*sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|)) + x*sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|)))/(25*(2 + x))
Unión de expresiones racionales
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/ ___ \
________________ ___ |\/ 6 *(7 + x)|
5*\/ -5 + x*(2 + x) + \/ 5 *(2 + x)*asin|-------------|
\ 6*|2 + x| /
--------------------------------------------------------
25*(2 + x)
$$\frac{\sqrt{5} \left(x + 2\right) \operatorname{asin}{\left(\frac{\sqrt{6} \left(x + 7\right)}{6 \left|{x + 2}\right|} \right)} + 5 \sqrt{x \left(x + 2\right) - 5}}{25 \left(x + 2\right)}$$
(5*sqrt(-5 + x*(2 + x)) + sqrt(5)*(2 + x)*asin(sqrt(6)*(7 + x)/(6*|2 + x|)))/(25*(2 + x))
Abrimos la expresión
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______________
/ 2 ___ / ___ ___ \
\/ x + 2*x - 5 \/ 5 | 7*\/ 6 x*\/ 6 |
----------------- + -----*asin|--------- + ---------|
10 + 5*x 25 \6*|x + 2| 6*|x + 2|/
$$\frac{\sqrt{5}}{25} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)} + \frac{\sqrt{\left(x^{2} + 2 x\right) - 5}}{5 x + 10}$$
sqrt(x^2 + 2*x - 5)/(10 + 5*x) + (sqrt(5)/25)*asin(7*sqrt(6)/(6*|x + 2|) + x*sqrt(6)/(6*|x + 2|))
Compilar la expresión
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___ / x 7 \
_______________ \/ 5 *asin|------------- + -------------|
/ 2 | ___ ___ |
\/ -5 + x + 2*x \\/ 6 *|x + 2| \/ 6 *|x + 2|/
------------------ + -----------------------------------------
10 + 5*x 25
$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{x}{\sqrt{6} \left|{x + 2}\right|} + \frac{7}{\sqrt{6} \left|{x + 2}\right|} \right)}}{25} + \frac{\sqrt{x^{2} + 2 x - 5}}{5 x + 10}$$
sqrt(-5 + x^2 + 2*x)/(10 + 5*x) + sqrt(5)*asin(x/((sqrt(6)*|x + 2|)) + 7/((sqrt(6)*|x + 2|)))/25
Denominador racional
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_______________ / ___ ___ \ / ___ ___ \
/ 2 ___ | 7*\/ 6 x*\/ 6 | ___ | 7*\/ 6 x*\/ 6 |
5*\/ -5 + x + 2*x + 2*\/ 5 *asin|--------- + ---------| + x*\/ 5 *asin|--------- + ---------|
\6*|2 + x| 6*|2 + x|/ \6*|2 + x| 6*|2 + x|/
------------------------------------------------------------------------------------------------
50 + 25*x
$$\frac{\sqrt{5} x \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)} + 5 \sqrt{x^{2} + 2 x - 5} + 2 \sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25 x + 50}$$
(5*sqrt(-5 + x^2 + 2*x) + 2*sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|)) + x*sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|)))/(50 + 25*x)
/ ___ ___ \
_______________ ___ | 7*\/ 6 x*\/ 6 |
/ 2 \/ 5 *asin|--------- + ---------|
\/ -5 + x + 2*x \6*|2 + x| 6*|2 + x|/
------------------ + ---------------------------------
10 + 5*x 25
$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25} + \frac{\sqrt{x^{2} + 2 x - 5}}{5 x + 10}$$
sqrt(-5 + x^2 + 2*x)/(10 + 5*x) + sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|))/25
Parte trigonométrica
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/ ___ ___ \
_______________ ___ | 7*\/ 6 x*\/ 6 |
/ 2 \/ 5 *asin|--------- + ---------|
\/ -5 + x + 2*x \6*|2 + x| 6*|2 + x|/
------------------ + ---------------------------------
10 + 5*x 25
$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25} + \frac{\sqrt{x^{2} + 2 x - 5}}{5 x + 10}$$
sqrt(-5 + x^2 + 2*x)/(10 + 5*x) + sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|))/25
/ ___ ___ \
_______________ ___ | 7*\/ 6 x*\/ 6 |
/ 2 \/ 5 *asin|--------- + ---------|
\/ -5 + x + 2*x \6*|2 + x| 6*|2 + x|/
------------------ + ---------------------------------
10 + 5*x 25
$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{6} x}{6 \left|{x + 2}\right|} + \frac{7 \sqrt{6}}{6 \left|{x + 2}\right|} \right)}}{25} + \frac{\sqrt{x^{2} + 2 x - 5}}{5 x + 10}$$
sqrt(-5 + x^2 + 2*x)/(10 + 5*x) + sqrt(5)*asin(7*sqrt(6)/(6*|2 + x|) + x*sqrt(6)/(6*|2 + x|))/25