Optimal. Leaf size=20 \[ \frac {x^4}{4}+\frac {x^3}{3}-x^2 \]
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Rubi [A] time = 0.00, antiderivative size = 20, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, 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*}
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Mathematica [A] time = 0.00, size = 20, normalized size = 1.00 \[ \frac {x^4}{4}+\frac {x^3}{3}-x^2 \]
Antiderivative was successfully verified.
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fricas [A] time = 0.38, size = 16, normalized size = 0.80 \[ \frac {1}{4} x^{4} + \frac {1}{3} x^{3} - x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.10, size = 16, normalized size = 0.80 \[ \frac {1}{4} \, x^{4} + \frac {1}{3} \, x^{3} - x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 17, normalized size = 0.85 \[ \frac {1}{4} x^{4}+\frac {1}{3} x^{3}-x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.97, size = 16, normalized size = 0.80 \[ \frac {1}{4} \, x^{4} + \frac {1}{3} \, x^{3} - x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 15, normalized size = 0.75 \[ \frac {x^2\,\left (3\,x^2+4\,x-12\right )}{12} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 12, normalized size = 0.60 \[ \frac {x^{4}}{4} + \frac {x^{3}}{3} - x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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