Optimal. Leaf size=15 \[ \text{CannotIntegrate}\left (\frac{\log \left (e^x \log (x) \sin (x)\right )}{x},x\right ) \]
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Rubi [A] time = 0.0219818, 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 = {} \[ \int \frac{\log \left (e^x \log (x) \sin (x)\right )}{x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\log \left (e^x \log (x) \sin (x)\right )}{x} \, dx &=\int \frac{\log \left (e^x \log (x) \sin (x)\right )}{x} \, dx\\ \end{align*}
Mathematica [A] time = 0.790202, size = 0, normalized size = 0. \[ \int \frac{\log \left (e^x \log (x) \sin (x)\right )}{x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.605, size = 0, normalized size = 0. \begin{align*} \int{\frac{\ln \left ({{\rm e}^{x}}\ln \left ( x \right ) \sin \left ( x \right ) \right ) }{x}}\, 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*} -{\left (\log \left (2\right ) + 1\right )} \log \left (x\right ) + \frac{1}{2} \, \log \left (\cos \left (x\right )^{2} + \sin \left (x\right )^{2} + 2 \, \cos \left (x\right ) + 1\right ) \log \left (x\right ) + \frac{1}{2} \, \log \left (\cos \left (x\right )^{2} + \sin \left (x\right )^{2} - 2 \, \cos \left (x\right ) + 1\right ) \log \left (x\right ) + \log \left (x\right ) \log \left (\log \left (x\right )\right ) + x + \int \frac{\log \left (x\right ) \sin \left (x\right )}{\cos \left (x\right )^{2} + \sin \left (x\right )^{2} + 2 \, \cos \left (x\right ) + 1}\,{d x} - \int \frac{\log \left (x\right ) \sin \left (x\right )}{\cos \left (x\right )^{2} + \sin \left (x\right )^{2} - 2 \, \cos \left (x\right ) + 1}\,{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 (e^{x} \log \left (x\right ) \sin \left (x\right )\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 [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: TypeError} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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