Simplificación general
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1 - x
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x / / 2\ \
(atan(x)) *\x - \1 + x /*atan(x)*log(atan(x))/
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2 / 2\
x *\1 + x /
$$\frac{\left(x - \left(x^{2} + 1\right) \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)}\right) \operatorname{atan}^{\frac{1 - x}{x}}{\left(x \right)}}{x^{2} \left(x^{2} + 1\right)}$$
atan(x)^((1 - x)/x)*(x - (1 + x^2)*atan(x)*log(atan(x)))/(x^2*(1 + x^2))
atan(x)^(1/x)*(-log(atan(x))/x^2 + 1/(x*(1.0 + x^2)*atan(x)))
atan(x)^(1/x)*(-log(atan(x))/x^2 + 1/(x*(1.0 + x^2)*atan(x)))
/ x _________ x _________ 2 x _________ \
-\- x*\/ atan(x) + \/ atan(x) *atan(x)*log(atan(x)) + x *\/ atan(x) *atan(x)*log(atan(x))/
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2 4
x *atan(x) + x *atan(x)
$$- \frac{x^{2} \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)} \operatorname{atan}^{\frac{1}{x}}{\left(x \right)} - x \operatorname{atan}^{\frac{1}{x}}{\left(x \right)} + \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)} \operatorname{atan}^{\frac{1}{x}}{\left(x \right)}}{x^{4} \operatorname{atan}{\left(x \right)} + x^{2} \operatorname{atan}{\left(x \right)}}$$
-(-x*atan(x)^(1/x) + atan(x)^(1/x)*atan(x)*log(atan(x)) + x^2*atan(x)^(1/x)*atan(x)*log(atan(x)))/(x^2*atan(x) + x^4*atan(x))
Parte trigonométrica
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x _________ / log(atan(x)) 1 \
\/ atan(x) *|- ------------ + ------------------|
| 2 / 2\ |
\ x x*\1 + x /*atan(x)/
$$\left(\frac{1}{x \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} - \frac{\log{\left(\operatorname{atan}{\left(x \right)} \right)}}{x^{2}}\right) \operatorname{atan}^{\frac{1}{x}}{\left(x \right)}$$
atan(x)^(1/x)*(-log(atan(x))/x^2 + 1/(x*(1 + x^2)*atan(x)))
Denominador racional
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x _________ / 2 / 2\ \
\/ atan(x) *\x - x*\1 + x /*atan(x)*log(atan(x))/
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3 / 2\
x *\1 + x /*atan(x)
$$\frac{\left(x^{2} - x \left(x^{2} + 1\right) \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)}\right) \operatorname{atan}^{\frac{1}{x}}{\left(x \right)}}{x^{3} \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}$$
atan(x)^(1/x)*(x^2 - x*(1 + x^2)*atan(x)*log(atan(x)))/(x^3*(1 + x^2)*atan(x))
Unión de expresiones racionales
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x _________ / / 2\ \
\/ atan(x) *\x - \1 + x /*atan(x)*log(atan(x))/
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2 / 2\
x *\1 + x /*atan(x)
$$\frac{\left(x - \left(x^{2} + 1\right) \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)}\right) \operatorname{atan}^{\frac{1}{x}}{\left(x \right)}}{x^{2} \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}$$
atan(x)^(1/x)*(x - (1 + x^2)*atan(x)*log(atan(x)))/(x^2*(1 + x^2)*atan(x))
x _________ / 2 \
-\/ atan(x) *\-x + atan(x)*log(atan(x)) + x *atan(x)*log(atan(x))/
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2 / 2\
x *\1 + x /*atan(x)
$$- \frac{\left(x^{2} \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)} - x + \log{\left(\operatorname{atan}{\left(x \right)} \right)} \operatorname{atan}{\left(x \right)}\right) \operatorname{atan}^{\frac{1}{x}}{\left(x \right)}}{x^{2} \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}$$
-atan(x)^(1/x)*(-x + atan(x)*log(atan(x)) + x^2*atan(x)*log(atan(x)))/(x^2*(1 + x^2)*atan(x))
x _________ / log(atan(x)) 1 \
\/ atan(x) *|- ------------ + ------------------|
| 2 / 2\ |
\ x x*\1 + x /*atan(x)/
$$\left(\frac{1}{x \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} - \frac{\log{\left(\operatorname{atan}{\left(x \right)} \right)}}{x^{2}}\right) \operatorname{atan}^{\frac{1}{x}}{\left(x \right)}$$
atan(x)^(1/x)*(-log(atan(x))/x^2 + 1/(x*(1 + x^2)*atan(x)))
Abrimos la expresión
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// 1 \ \
||----------| |
|| / 2\| |
x _________ |\x*\1 + x // -log(atan(x)) |
\/ atan(x) *|------------ + --------------|
| atan(x) 2 |
\ x /
$$\left(\frac{\frac{1}{x} \frac{1}{x^{2} + 1}}{\operatorname{atan}{\left(x \right)}} + \frac{\left(-1\right) \log{\left(\operatorname{atan}{\left(x \right)} \right)}}{x^{2}}\right) \operatorname{atan}^{\frac{1}{x}}{\left(x \right)}$$
atan(x)^(1/x)*((1/(x*(1 + x^2)))/atan(x) + (-log(atan(x)))/x^2)
Compilar la expresión
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x _________ / log(atan(x)) 1 \
\/ atan(x) *|- ------------ + ------------------|
| 2 / 2\ |
\ x x*\1 + x /*atan(x)/
$$\left(\frac{1}{x \left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} - \frac{\log{\left(\operatorname{atan}{\left(x \right)} \right)}}{x^{2}}\right) \operatorname{atan}^{\frac{1}{x}}{\left(x \right)}$$
atan(x)^(1/x)*(-log(atan(x))/x^2 + 1/(x*(1 + x^2)*atan(x)))