Simplificación general
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________ ________
/ 2 / 2
4*\/ 4 - x 4*\/ 4 - x /x\
- ------------- + ------------- + asin|-|
3 3*x \2/
3*x
$$\operatorname{asin}{\left(\frac{x}{2} \right)} + \frac{4 \sqrt{4 - x^{2}}}{3 x} - \frac{4 \sqrt{4 - x^{2}}}{3 x^{3}}$$
-4*sqrt(4 - x^2)/(3*x^3) + 4*sqrt(4 - x^2)/(3*x) + asin(x/2)
0.5*x*(1 - 0.25*x^2)^0.5 + 1.33333333333333*(1 - 0.25*x^2)^1.5/x - 2.66666666666667*(1 - 0.25*x^2)^2.5/x^3 + asin(x/2)
0.5*x*(1 - 0.25*x^2)^0.5 + 1.33333333333333*(1 - 0.25*x^2)^1.5/x - 2.66666666666667*(1 - 0.25*x^2)^2.5/x^3 + asin(x/2)
________ ________
/ 2 2 / 2
- 4*\/ 4 - x + 4*x *\/ 4 - x /x\
---------------------------------- + asin|-|
3 \2/
3*x
$$\operatorname{asin}{\left(\frac{x}{2} \right)} + \frac{4 x^{2} \sqrt{4 - x^{2}} - 4 \sqrt{4 - x^{2}}}{3 x^{3}}$$
(-4*sqrt(4 - x^2) + 4*x^2*sqrt(4 - x^2))/(3*x^3) + asin(x/2)
5/2 ________ 3/2
/ 2\ / 2 / 2\
\4 - x / x*\/ 4 - x \4 - x / /x\
- ----------- + ------------- + ----------- + asin|-|
3 4 6*x \2/
12*x
$$\frac{x \sqrt{4 - x^{2}}}{4} + \operatorname{asin}{\left(\frac{x}{2} \right)} + \frac{\left(4 - x^{2}\right)^{\frac{3}{2}}}{6 x} - \frac{\left(4 - x^{2}\right)^{\frac{5}{2}}}{12 x^{3}}$$
-(4 - x^2)^(5/2)/(12*x^3) + x*sqrt(4 - x^2)/4 + (4 - x^2)^(3/2)/(6*x) + asin(x/2)
Parte trigonométrica
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5/2 ________ 3/2
/ 2\ / 2 / 2\
\4 - x / x*\/ 4 - x \4 - x / /x\
- ----------- + ------------- + ----------- + asin|-|
3 4 6*x \2/
12*x
$$\frac{x \sqrt{4 - x^{2}}}{4} + \operatorname{asin}{\left(\frac{x}{2} \right)} + \frac{\left(4 - x^{2}\right)^{\frac{3}{2}}}{6 x} - \frac{\left(4 - x^{2}\right)^{\frac{5}{2}}}{12 x^{3}}$$
-(4 - x^2)^(5/2)/(12*x^3) + x*sqrt(4 - x^2)/4 + (4 - x^2)^(3/2)/(6*x) + asin(x/2)
Compilar la expresión
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5/2 ________ 3/2
/ 2\ / 2 / 2\
\4 - x / x*\/ 4 - x \4 - x / /x\
- ----------- + ------------- + ----------- + asin|-|
3 4 6*x \2/
12*x
$$\frac{x \sqrt{4 - x^{2}}}{4} + \operatorname{asin}{\left(\frac{x}{2} \right)} + \frac{\left(4 - x^{2}\right)^{\frac{3}{2}}}{6 x} - \frac{\left(4 - x^{2}\right)^{\frac{5}{2}}}{12 x^{3}}$$
-(4 - x^2)^(5/2)/(12*x^3) + x*sqrt(4 - x^2)/4 + (4 - x^2)^(3/2)/(6*x) + asin(x/2)
________ ________
/ 2 3 /x\ 2 / 2
- 4*\/ 4 - x + 3*x *asin|-| + 4*x *\/ 4 - x
\2/
-------------------------------------------------
3
3*x
$$\frac{3 x^{3} \operatorname{asin}{\left(\frac{x}{2} \right)} + 4 x^{2} \sqrt{4 - x^{2}} - 4 \sqrt{4 - x^{2}}}{3 x^{3}}$$
(-4*sqrt(4 - x^2) + 3*x^3*asin(x/2) + 4*x^2*sqrt(4 - x^2))/(3*x^3)
Unión de expresiones racionales
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5/2 3/2 ________
/ 2\ 2 / 2\ 4 / 2 3 /x\
- \4 - x / + 2*x *\4 - x / + 3*x *\/ 4 - x + 12*x *asin|-|
\2/
-------------------------------------------------------------------
3
12*x
$$\frac{3 x^{4} \sqrt{4 - x^{2}} + 12 x^{3} \operatorname{asin}{\left(\frac{x}{2} \right)} + 2 x^{2} \left(4 - x^{2}\right)^{\frac{3}{2}} - \left(4 - x^{2}\right)^{\frac{5}{2}}}{12 x^{3}}$$
(-(4 - x^2)^(5/2) + 2*x^2*(4 - x^2)^(3/2) + 3*x^4*sqrt(4 - x^2) + 12*x^3*asin(x/2))/(12*x^3)
Abrimos la expresión
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________ 5/2 3/2
/ 2 / 2\ / 2\
x*\/ 4 - x \4 - x / \4 - x / /x\
------------- - ----------- + ----------- + asin|-|
4 3 6*x \2/
12*x
$$\frac{x \sqrt{4 - x^{2}}}{4} + \operatorname{asin}{\left(\frac{x}{2} \right)} + \frac{\left(4 - x^{2}\right)^{\frac{3}{2}}}{6 x} - \frac{\left(4 - x^{2}\right)^{\frac{5}{2}}}{12 x^{3}}$$
(x*sqrt(4 - x^2))/4 - (4 - x^2)^(5/2)/(12*x^3) + (4 - x^2)^(3/2)/(6*x) + asin(x/2)
Denominador racional
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/ 5/2 \ 3/2 ________
| / 2\ 3 /x\| 3 / 2\ 5 / 2
24*x*|- \4 - x / + 12*x *asin|-|| + 48*x *\4 - x / + 72*x *\/ 4 - x
\ \2//
----------------------------------------------------------------------------
4
288*x
$$\frac{72 x^{5} \sqrt{4 - x^{2}} + 48 x^{3} \left(4 - x^{2}\right)^{\frac{3}{2}} + 24 x \left(12 x^{3} \operatorname{asin}{\left(\frac{x}{2} \right)} - \left(4 - x^{2}\right)^{\frac{5}{2}}\right)}{288 x^{4}}$$
(24*x*(-(4 - x^2)^(5/2) + 12*x^3*asin(x/2)) + 48*x^3*(4 - x^2)^(3/2) + 72*x^5*sqrt(4 - x^2))/(288*x^4)