Optimal. Leaf size=15 \[ e^{e^4}-x^3+\log (-2 x) \]
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Rubi [A]
time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.53, number of steps
used = 2, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {14}
\begin {gather*} \log (x)-x^3 \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (\frac {1}{x}-3 x^2\right ) \, dx\\ &=-x^3+\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 8, normalized size = 0.53 \begin {gather*} -x^3+\log (x) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.14, size = 9, normalized size = 0.60
method | result | size |
default | \(-x^{3}+\ln \left (x \right )\) | \(9\) |
norman | \(-x^{3}+\ln \left (x \right )\) | \(9\) |
risch | \(-x^{3}+\ln \left (x \right )\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.28, size = 12, normalized size = 0.80 \begin {gather*} -x^{3} + \frac {1}{3} \, \log \left (x^{3}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.38, size = 8, normalized size = 0.53 \begin {gather*} -x^{3} + \log \left (x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 5, normalized size = 0.33 \begin {gather*} - x^{3} + \log {\left (x \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 9, normalized size = 0.60 \begin {gather*} -x^{3} + \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 8, normalized size = 0.53 \begin {gather*} \ln \left (x\right )-x^3 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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