Abrimos la expresión
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/ x \
| 1 + ------------|
| _________|
| / 2 2 |
| \/ x + y | y
y*|y + ----------------| - ------------
| _________| _________
| / 2 2 | / 2 2
\ x + \/ x + y / \/ x + y
$$y \left(y + \frac{\frac{x}{\sqrt{x^{2} + y^{2}}} + 1}{x + \sqrt{x^{2} + y^{2}}}\right) - \frac{y}{\sqrt{x^{2} + y^{2}}}$$
y*(y + (1 + x/sqrt(x^2 + y^2))/(x + sqrt(x^2 + y^2))) - y/sqrt(x^2 + y^2)
Compilar la expresión
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/ x \
| 1 + ------------|
| _________|
| / 2 2 |
| 1 \/ x + y |
y*|y - ------------ + ----------------|
| _________ _________|
| / 2 2 / 2 2 |
\ \/ x + y x + \/ x + y /
$$y \left(y - \frac{1}{\sqrt{x^{2} + y^{2}}} + \frac{\frac{x}{\sqrt{x^{2} + y^{2}}} + 1}{x + \sqrt{x^{2} + y^{2}}}\right)$$
/ x \
| 1 + ------------|
| _________|
| / 2 2 |
| \/ x + y | y
y*|y + ----------------| - ------------
| _________| _________
| / 2 2 | / 2 2
\ x + \/ x + y / \/ x + y
$$y \left(y + \frac{\frac{x}{\sqrt{x^{2} + y^{2}}} + 1}{x + \sqrt{x^{2} + y^{2}}}\right) - \frac{y}{\sqrt{x^{2} + y^{2}}}$$
y*(y + (1 + x/sqrt(x^2 + y^2))/(x + sqrt(x^2 + y^2))) - y/sqrt(x^2 + y^2)
Denominador racional
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2
2 4 4 2 2 / 2 2\
- 2*x *y - 2*x *y + 2*y *\x + y /
-------------------------------------
2 / 2 2\
2*y *\x + y /
$$\frac{- 2 x^{4} y^{2} - 2 x^{2} y^{4} + 2 y^{2} \left(x^{2} + y^{2}\right)^{2}}{2 y^{2} \left(x^{2} + y^{2}\right)}$$
(-2*x^2*y^4 - 2*x^4*y^2 + 2*y^2*(x^2 + y^2)^2)/(2*y^2*(x^2 + y^2))
/ x \
| 1 + ------------|
| _________|
| / 2 2 |
| \/ x + y | y
y*|y + ----------------| - ------------
| _________| _________
| / 2 2 | / 2 2
\ x + \/ x + y / \/ x + y
$$y \left(y + \frac{\frac{x}{\sqrt{x^{2} + y^{2}}} + 1}{x + \sqrt{x^{2} + y^{2}}}\right) - \frac{y}{\sqrt{x^{2} + y^{2}}}$$
y*(y + (1 + x/sqrt(x^2 + y^2))/(x + sqrt(x^2 + y^2))) - y/sqrt(x^2 + y^2)
Parte trigonométrica
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/ x \
| 1 + ------------|
| _________|
| / 2 2 |
| \/ x + y | y
y*|y + ----------------| - ------------
| _________| _________
| / 2 2 | / 2 2
\ x + \/ x + y / \/ x + y
$$y \left(y + \frac{\frac{x}{\sqrt{x^{2} + y^{2}}} + 1}{x + \sqrt{x^{2} + y^{2}}}\right) - \frac{y}{\sqrt{x^{2} + y^{2}}}$$
y*(y + (1 + x/sqrt(x^2 + y^2))/(x + sqrt(x^2 + y^2))) - y/sqrt(x^2 + y^2)