Optimal. Leaf size=15 \[ -2-e^{e^8}+6 e^x x \]
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Rubi [A] time = 0.01, antiderivative size = 14, normalized size of antiderivative = 0.93, number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.222, Rules used = {2176, 2194} \begin {gather*} 6 e^x (x+1)-6 e^x \end {gather*}
Antiderivative was successfully verified.
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Rule 2176
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=6 e^x (1+x)-6 \int e^x \, dx\\ &=-6 e^x+6 e^x (1+x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 6, normalized size = 0.40 \begin {gather*} 6 e^x x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.68, size = 5, normalized size = 0.33 \begin {gather*} 6 \, x e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.21, size = 5, normalized size = 0.33 \begin {gather*} 6 \, x e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.05, size = 6, normalized size = 0.40
method | result | size |
gosper | \(6 \,{\mathrm e}^{x} x\) | \(6\) |
default | \(6 \,{\mathrm e}^{x} x\) | \(6\) |
norman | \(6 \,{\mathrm e}^{x} x\) | \(6\) |
risch | \(6 \,{\mathrm e}^{x} x\) | \(6\) |
meijerg | \(-3 \left (-2 x +2\right ) {\mathrm e}^{x}+6 \,{\mathrm e}^{x}\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 12, normalized size = 0.80 \begin {gather*} 6 \, {\left (x - 1\right )} e^{x} + 6 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.04, size = 5, normalized size = 0.33 \begin {gather*} 6\,x\,{\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 5, normalized size = 0.33 \begin {gather*} 6 x e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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