Optimal. Leaf size=11 \[ \frac {x^2}{2}-2 x \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {627} \[ \frac {x^2}{2}-2 x \]
Antiderivative was successfully verified.
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Rule 627
Rubi steps
\begin {align*} \int \frac {-4+x^2}{2+x} \, dx &=\int (-2+x) \, dx\\ &=-2 x+\frac {x^2}{2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.00 \[ \frac {x^2}{2}-2 x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.60, size = 9, normalized size = 0.82 \[ \frac {1}{2} \, x^{2} - 2 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.29, size = 9, normalized size = 0.82 \[ \frac {1}{2} \, x^{2} - 2 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 10, normalized size = 0.91 \[ \frac {1}{2} x^{2}-2 x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.45, size = 9, normalized size = 0.82 \[ \frac {1}{2} \, x^{2} - 2 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 6, normalized size = 0.55 \[ \frac {x\,\left (x-4\right )}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.64 \[ \frac {x^{2}}{2} - 2 x \]
Verification of antiderivative is not currently implemented for this CAS.
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