Optimal. Leaf size=8 \[ -\log (1-x) \]
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Rubi [A] time = 0.0074175, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 19, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.105, Rules used = {1586, 31} \[ -\log (1-x) \]
Antiderivative was successfully verified.
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Rule 1586
Rule 31
Rubi steps
\begin{align*} \int \frac{1+x+x^2+x^3}{1-x^4} \, dx &=\int \frac{1}{1-x} \, dx\\ &=-\log (1-x)\\ \end{align*}
Mathematica [A] time = 0.0008638, size = 8, normalized size = 1. \[ -\log (1-x) \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 7, normalized size = 0.9 \begin{align*} -\ln \left ( -1+x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.943333, size = 8, normalized size = 1. \begin{align*} -\log \left (x - 1\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.70181, size = 18, normalized size = 2.25 \begin{align*} -\log \left (x - 1\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.056644, size = 5, normalized size = 0.62 \begin{align*} - \log{\left (x - 1 \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05278, size = 9, normalized size = 1.12 \begin{align*} -\log \left ({\left | x - 1 \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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