Optimal. Leaf size=8 \[ -\log (1-x) \]
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Rubi [A] time = 0.01, antiderivative size = 8, normalized size of antiderivative = 1.00, 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 31
Rule 1586
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*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ -\log (1-x) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.74, size = 6, normalized size = 0.75 \[ -\log \left (x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 7, normalized size = 0.88 \[ -\log \left ({\left | x - 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 7, normalized size = 0.88 \[ -\ln \left (x -1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.35, size = 6, normalized size = 0.75 \[ -\log \left (x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 6, normalized size = 0.75 \[ -\ln \left (x-1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 5, normalized size = 0.62 \[ - \log {\left (x - 1 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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