Optimal. Leaf size=8 \[ \text {Int}(\log (\log (\log (\log (x)))),x) \]
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Rubi [A]
time = 0.00, 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 \log (\log (\log (\log (x)))) \, dx \end {gather*}
Verification is not applicable to the result.
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Rubi steps
\begin {align*} \int \log (\log (\log (\log (x)))) \, dx &=\int \log (\log (\log (\log (x)))) \, dx\\ \end {align*}
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Mathematica [A]
time = 0.03, size = 0, normalized size = 0.00 \begin {gather*} \int \log (\log (\log (\log (x)))) \, dx \end {gather*}
Verification is not applicable to the result.
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Mathics [F(-2)]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {cought exception: maximum recursion depth exceeded in comparison} \end {gather*}
Warning: Unable to verify antiderivative.
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Maple [A]
time = 0.02, size = 0, normalized size = 0.00 \[\int \ln \left (\ln \left (\ln \left (\ln \left (x \right )\right )\right )\right )\, dx\]
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 = 0.34, 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*} x \log {\left (\log {\left (\log {\left (\log {\left (x \right )} \right )} \right )} \right )} - \int \frac {1}{\log {\left (x \right )} \log {\left (\log {\left (x \right )} \right )} \log {\left (\log {\left (\log {\left (x \right )} \right )} \right )}}\, dx \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] N/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 = -0.12 \begin {gather*} \int \ln \left (\ln \left (\ln \left (\ln \left (x\right )\right )\right )\right ) \,d x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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