Optimal. Leaf size=19 \[ \log \left (-2+\frac {1}{4} \left (-3+\frac {2 x}{3}-16 x^3\right )\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 11, normalized size of antiderivative = 0.58, number of steps used = 1, number of rules used = 1, integrand size = 20, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.050, Rules used = {1587} \begin {gather*} \log \left (48 x^3-2 x+33\right ) \end {gather*}
Antiderivative was successfully verified.
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Rule 1587
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\log \left (33-2 x+48 x^3\right )\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 11, normalized size = 0.58 \begin {gather*} \log \left (33-2 x+48 x^3\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.60, size = 11, normalized size = 0.58 \begin {gather*} \log \left (48 \, x^{3} - 2 \, x + 33\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 12, normalized size = 0.63 \begin {gather*} \log \left ({\left | 48 \, x^{3} - 2 \, x + 33 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 12, normalized size = 0.63
method | result | size |
derivativedivides | \(\ln \left (48 x^{3}-2 x +33\right )\) | \(12\) |
default | \(\ln \left (48 x^{3}-2 x +33\right )\) | \(12\) |
norman | \(\ln \left (48 x^{3}-2 x +33\right )\) | \(12\) |
risch | \(\ln \left (48 x^{3}-2 x +33\right )\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.41, size = 11, normalized size = 0.58 \begin {gather*} \log \left (48 \, x^{3} - 2 \, x + 33\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.06, size = 11, normalized size = 0.58 \begin {gather*} \ln \left (48\,x^3-2\,x+33\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 10, normalized size = 0.53 \begin {gather*} \log {\left (48 x^{3} - 2 x + 33 \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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