Optimal. Leaf size=31 \[ \text {Int}\left (\frac {\log (x) \log ^2\left (\frac {a+b x}{(b c-a d) x}\right )}{x},x\right ) \]
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Rubi [A]
time = 0.02, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps
used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} \int \frac {\log (x) \log ^2\left (\frac {a+b x}{(b c-a d) x}\right )}{x} \, dx \end {gather*}
Verification is not applicable to the result.
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Rubi steps
\begin {align*} \int \frac {\log (x) \log ^2\left (\frac {a+b x}{(b c-a d) x}\right )}{x} \, dx &=\int \frac {\log (x) \log ^2\left (\frac {a+b x}{(b c-a d) x}\right )}{x} \, dx\\ \end {align*}
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Mathematica [A]
time = 0.07, size = 0, normalized size = 0.00 \begin {gather*} \int \frac {\log (x) \log ^2\left (\frac {a+b x}{(b c-a d) x}\right )}{x} \, dx \end {gather*}
Verification is not applicable to the result.
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Maple [A]
time = 0.66, size = 0, normalized size = 0.00 \[\int \frac {\ln \left (x \right ) \ln \left (\frac {b x +a}{\left (-a d +c b \right ) x}\right )^{2}}{x}\, dx\]
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Failed to integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} a \int \frac {\log {\left (x \right )}^{2} \log {\left (\frac {a}{- a d x + b c x} + \frac {b x}{- a d x + b c x} \right )}}{a x + b x^{2}}\, dx + \frac {\log {\left (x \right )}^{2} \log {\left (\frac {a + b x}{x \left (- a d + b c\right )} \right )}^{2}}{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [A]
time = 0.00, size = -1, normalized size = -0.03 \begin {gather*} \int \frac {{\ln \left (-\frac {a+b\,x}{x\,\left (a\,d-b\,c\right )}\right )}^2\,\ln \left (x\right )}{x} \,d x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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