Optimal. Leaf size=18 \[ 1-x^2+x^2 (2+x)-4 \log (2) \]
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Rubi [A] time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.39, number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} x^3+x^2 \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=x^2+x^3\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 7, normalized size = 0.39 \begin {gather*} x^2+x^3 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.60, size = 7, normalized size = 0.39 \begin {gather*} x^{3} + x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 4.81, size = 7, normalized size = 0.39 \begin {gather*} x^{3} + x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 8, normalized size = 0.44
method | result | size |
gosper | \(\left (x +1\right ) x^{2}\) | \(8\) |
default | \(x^{3}+x^{2}\) | \(8\) |
norman | \(x^{3}+x^{2}\) | \(8\) |
risch | \(x^{3}+x^{2}\) | \(8\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 7, normalized size = 0.39 \begin {gather*} x^{3} + x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 7, normalized size = 0.39 \begin {gather*} x^2\,\left (x+1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.04, size = 5, normalized size = 0.28 \begin {gather*} x^{3} + x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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