Optimal. Leaf size=9 \[ x-\frac{x^2}{2} \]
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Rubi [A] time = 0.0086773, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 19, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.053, Rules used = {1586} \[ x-\frac{x^2}{2} \]
Antiderivative was successfully verified.
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Rule 1586
Rubi steps
\begin{align*} \int \frac{1-x^4}{1+x+x^2+x^3} \, dx &=\int (1-x) \, dx\\ &=x-\frac{x^2}{2}\\ \end{align*}
Mathematica [A] time = 0.0004395, size = 9, normalized size = 1. \[ x-\frac{x^2}{2} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 8, normalized size = 0.9 \begin{align*} x-{\frac{{x}^{2}}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.93638, size = 9, normalized size = 1. \begin{align*} -\frac{1}{2} \, x^{2} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.67103, size = 19, normalized size = 2.11 \begin{align*} -\frac{1}{2} \, x^{2} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.057147, size = 5, normalized size = 0.56 \begin{align*} - \frac{x^{2}}{2} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.0496, size = 9, normalized size = 1. \begin{align*} -\frac{1}{2} \, x^{2} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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