Simplificación general
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/ x
/ -----
\/ b - x
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2*x
$$\frac{\sqrt{\frac{x}{b - x}}}{2 x}$$
(x/(b - x))^0.5*(b - x)*(1/(2.0*b - 2.0*x) + 0.5*x/(b - x)^2)/(x*(1.0 + x/(b - x)))
(x/(b - x))^0.5*(b - x)*(1/(2.0*b - 2.0*x) + 0.5*x/(b - x)^2)/(x*(1.0 + x/(b - x)))
Parte trigonométrica
[src]
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/ x / 1 x \
/ ----- *(b - x)*|---------- + ----------|
\/ b - x |-2*x + 2*b 2|
\ 2*(b - x) /
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/ x \
x*|1 + -----|
\ b - x/
$$\frac{\sqrt{\frac{x}{b - x}} \left(b - x\right) \left(\frac{x}{2 \left(b - x\right)^{2}} + \frac{1}{2 b - 2 x}\right)}{x \left(\frac{x}{b - x} + 1\right)}$$
sqrt(x/(b - x))*(b - x)*(1/(-2*x + 2*b) + x/(2*(b - x)^2))/(x*(1 + x/(b - x)))
Unión de expresiones racionales
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/ x
/ -----
\/ b - x
-----------
2*x
$$\frac{\sqrt{\frac{x}{b - x}}}{2 x}$$
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/ x / 1 x \
/ ----- *(b - x)*|---------- + ----------|
\/ b - x |-2*x + 2*b 2|
\ 2*(b - x) /
---------------------------------------------
/ x \
x*|1 + -----|
\ b - x/
$$\frac{\sqrt{\frac{x}{b - x}} \left(b - x\right) \left(\frac{x}{2 \left(b - x\right)^{2}} + \frac{1}{2 b - 2 x}\right)}{x \left(\frac{x}{b - x} + 1\right)}$$
sqrt(x/(b - x))*(b - x)*(1/(-2*x + 2*b) + x/(2*(b - x)^2))/(x*(1 + x/(b - x)))
Abrimos la expresión
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/ 1 / 1 x \
/ ----- *(b - x)*|--------- + ----------|
\/ b - x |2*(b - x) 2|
\ 2*(b - x) /
--------------------------------------------
___ / x \
\/ x *|1 + -----|
\ b - x/
$$\frac{\left(b - x\right) \left(\frac{x}{2 \left(b - x\right)^{2}} + \frac{1}{2 \left(b - x\right)}\right) \sqrt{\frac{1}{b - x}}}{\sqrt{x} \left(\frac{x}{b - x} + 1\right)}$$
sqrt(1/(b - x))*(b - x)*(1/(2*(b - x)) + x/(2*(b - x)^2))/(sqrt(x)*(1 + x/(b - x)))
Compilar la expresión
[src]
_______
/ x / 1 x \
/ ----- *(b - x)*|---------- + ----------|
\/ b - x |-2*x + 2*b 2|
\ 2*(b - x) /
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/ x \
x*|1 + -----|
\ b - x/
$$\frac{\sqrt{\frac{x}{b - x}} \left(b - x\right) \left(\frac{x}{2 \left(b - x\right)^{2}} + \frac{1}{2 b - 2 x}\right)}{x \left(\frac{x}{b - x} + 1\right)}$$
sqrt(x/(b - x))*(b - x)*(1/(-2*x + 2*b) + x/(2*(b - x)^2))/(x*(1 + x/(b - x)))
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/ x
/ -----
\/ b - x
-----------
2*x
$$\frac{\sqrt{\frac{x}{b - x}}}{2 x}$$
Denominador racional
[src]
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/ x / 2 \
/ ----- *\2*(b - x) + x*(-2*x + 2*b)/
\/ b - x
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2*b*x*(-2*x + 2*b)
$$\frac{\sqrt{\frac{x}{b - x}} \left(x \left(2 b - 2 x\right) + 2 \left(b - x\right)^{2}\right)}{2 b x \left(2 b - 2 x\right)}$$
sqrt(x/(b - x))*(2*(b - x)^2 + x*(-2*x + 2*b))/(2*b*x*(-2*x + 2*b))
_______
/ x
/ -----
\/ b - x
-----------
2*x
$$\frac{\sqrt{\frac{x}{b - x}}}{2 x}$$