Optimal. Leaf size=13 \[ \frac {1}{12} d \log \left (3 x^4+2\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {12, 260} \[ \frac {1}{12} d \log \left (3 x^4+2\right ) \]
Antiderivative was successfully verified.
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Rule 12
Rule 260
Rubi steps
\begin {align*} \int \frac {d x^3}{2+3 x^4} \, dx &=d \int \frac {x^3}{2+3 x^4} \, dx\\ &=\frac {1}{12} d \log \left (2+3 x^4\right )\\ \end {align*}
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Mathematica [A] time = 0.00, size = 13, normalized size = 1.00 \[ \frac {1}{12} d \log \left (3 x^4+2\right ) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.80, size = 11, normalized size = 0.85 \[ \frac {1}{12} \, d \log \left (3 \, x^{4} + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 11, normalized size = 0.85 \[ \frac {1}{12} \, d \log \left (3 \, x^{4} + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.05, size = 12, normalized size = 0.92 \[ \frac {d \ln \left (3 x^{4}+2\right )}{12} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.32, size = 11, normalized size = 0.85 \[ \frac {1}{12} \, d \log \left (3 \, x^{4} + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 9, normalized size = 0.69 \[ \frac {d\,\ln \left (x^4+\frac {2}{3}\right )}{12} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.09, size = 10, normalized size = 0.77 \[ \frac {d \log {\left (3 x^{4} + 2 \right )}}{12} \]
Verification of antiderivative is not currently implemented for this CAS.
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