Optimal. Leaf size=20 \[ \frac{x^4}{4}+\frac{x^3}{3}-x^2 \]
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Rubi [A] time = 0.0024438, antiderivative size = 20, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 10, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \frac{x^4}{4}+\frac{x^3}{3}-x^2 \]
Antiderivative was successfully verified.
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Rubi steps
\begin{align*} \int \left (-2 x+x^2+x^3\right ) \, dx &=-x^2+\frac{x^3}{3}+\frac{x^4}{4}\\ \end{align*}
Mathematica [A] time = 0.0000315, size = 20, normalized size = 1. \[ \frac{x^4}{4}+\frac{x^3}{3}-x^2 \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 17, normalized size = 0.9 \begin{align*} -{x}^{2}+{\frac{{x}^{3}}{3}}+{\frac{{x}^{4}}{4}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.936531, size = 22, normalized size = 1.1 \begin{align*} \frac{1}{4} \, x^{4} + \frac{1}{3} \, x^{3} - x^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.59752, size = 34, normalized size = 1.7 \begin{align*} \frac{1}{4} x^{4} + \frac{1}{3} x^{3} - x^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.048737, size = 12, normalized size = 0.6 \begin{align*} \frac{x^{4}}{4} + \frac{x^{3}}{3} - x^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.04368, size = 22, normalized size = 1.1 \begin{align*} \frac{1}{4} \, x^{4} + \frac{1}{3} \, x^{3} - x^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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