Optimal. Leaf size=14 \[ \frac {1}{4} \log \left (2 (a+b)+x^4\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.067, Rules used = {260} \[ \frac {1}{4} \log \left (2 (a+b)+x^4\right ) \]
Antiderivative was successfully verified.
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Rule 260
Rubi steps
\begin {align*} \int \frac {x^3}{2 (a+b)+x^4} \, dx &=\frac {1}{4} \log \left (2 (a+b)+x^4\right )\\ \end {align*}
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Mathematica [A] time = 0.00, size = 15, normalized size = 1.07 \[ \frac {1}{4} \log \left (2 a+2 b+x^4\right ) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.74, size = 13, normalized size = 0.93 \[ \frac {1}{4} \, \log \left (x^{4} + 2 \, a + 2 \, b\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 14, normalized size = 1.00 \[ \frac {1}{4} \, \log \left ({\left | x^{4} + 2 \, a + 2 \, b \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 14, normalized size = 1.00 \[ \frac {\ln \left (x^{4}+2 a +2 b \right )}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.34, size = 13, normalized size = 0.93 \[ \frac {1}{4} \, \log \left (x^{4} + 2 \, a + 2 \, b\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 13, normalized size = 0.93 \[ \frac {\ln \left (x^4+2\,a+2\,b\right )}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.21, size = 12, normalized size = 0.86 \[ \frac {\log {\left (2 a + 2 b + x^{4} \right )}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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