Optimal. Leaf size=25 \[ \text{CannotIntegrate}\left (\frac{\log \left (4 \sqrt{x^2-x}+4 x-1\right )}{x},x\right ) \]
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Rubi [A] time = 0.0763766, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int \frac{\log \left (-1+4 x+4 \sqrt{(-1+x) x}\right )}{x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\log \left (-1+4 x+4 \sqrt{(-1+x) x}\right )}{x} \, dx &=\int \frac{\log \left (-1+4 x+4 \sqrt{-x+x^2}\right )}{x} \, dx\\ \end{align*}
Mathematica [A] time = 0.453661, size = 0, normalized size = 0. \[ \int \frac{\log \left (-1+4 x+4 \sqrt{(-1+x) x}\right )}{x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.005, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{x}\ln \left ( -1+4\,x+4\,\sqrt{ \left ( -1+x \right ) x} \right ) }\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\log \left (4 \, x + 4 \, \sqrt{{\left (x - 1\right )} x} - 1\right )}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{\log \left (4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right )}{x}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\log \left (4 \, x + 4 \, \sqrt{{\left (x - 1\right )} x} - 1\right )}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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