Optimal. Leaf size=29 \[ \frac {x^4}{4}-x^3+\frac {9 x^2}{2}-20 x+47 \log (x+2) \]
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Rubi [A] time = 0.02, antiderivative size = 29, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 24, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.042, Rules used = {1850} \[ \frac {x^4}{4}-x^3+\frac {9 x^2}{2}-20 x+47 \log (x+2) \]
Antiderivative was successfully verified.
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Rule 1850
Rubi steps
\begin {align*} \int \frac {7-2 x+3 x^2-x^3+x^4}{2+x} \, dx &=\int \left (-20+9 x-3 x^2+x^3+\frac {47}{2+x}\right ) \, dx\\ &=-20 x+\frac {9 x^2}{2}-x^3+\frac {x^4}{4}+47 \log (2+x)\\ \end {align*}
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Mathematica [A] time = 0.01, size = 30, normalized size = 1.03 \[ \frac {x^4}{4}-x^3+\frac {9 x^2}{2}-20 x+47 \log (x+2)-70 \]
Antiderivative was successfully verified.
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fricas [A] time = 0.67, size = 25, normalized size = 0.86 \[ \frac {1}{4} \, x^{4} - x^{3} + \frac {9}{2} \, x^{2} - 20 \, x + 47 \, \log \left (x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.28, size = 26, normalized size = 0.90 \[ \frac {1}{4} \, x^{4} - x^{3} + \frac {9}{2} \, x^{2} - 20 \, x + 47 \, \log \left ({\left | x + 2 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 26, normalized size = 0.90 \[ \frac {x^{4}}{4}-x^{3}+\frac {9 x^{2}}{2}-20 x +47 \ln \left (x +2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.76, size = 25, normalized size = 0.86 \[ \frac {1}{4} \, x^{4} - x^{3} + \frac {9}{2} \, x^{2} - 20 \, x + 47 \, \log \left (x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 25, normalized size = 0.86 \[ 47\,\ln \left (x+2\right )-20\,x+\frac {9\,x^2}{2}-x^3+\frac {x^4}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 24, normalized size = 0.83 \[ \frac {x^{4}}{4} - x^{3} + \frac {9 x^{2}}{2} - 20 x + 47 \log {\left (x + 2 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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