Optimal. Leaf size=18 \[ 3+6 e^{\left (8+\frac {20}{e}\right ) e^4} x \]
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Rubi [A] time = 0.00, antiderivative size = 15, normalized size of antiderivative = 0.83, number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {8} \begin {gather*} 6 e^{4 e^3 (5+2 e)} x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=6 e^{4 e^3 (5+2 e)} x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 0.78 \begin {gather*} 6 e^{e^3 (20+8 e)} x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.63, size = 13, normalized size = 0.72 \begin {gather*} 6 \, x e^{\left (8 \, e^{4} + 20 \, e^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 14, normalized size = 0.78 \begin {gather*} 6 \, x e^{\left (4 \, {\left (2 \, e + 5\right )} e^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 14, normalized size = 0.78
method | result | size |
risch | \(6 x \,{\mathrm e}^{8 \,{\mathrm e}^{4}+20 \,{\mathrm e}^{3}}\) | \(14\) |
default | \(6 \,{\mathrm e}^{\left (8 \,{\mathrm e}+20\right ) {\mathrm e}^{4} {\mathrm e}^{-1}} x\) | \(18\) |
norman | \(6 \,{\mathrm e}^{8 \,{\mathrm e}^{4}} {\mathrm e}^{20 \,{\mathrm e}^{3}} x\) | \(19\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 14, normalized size = 0.78 \begin {gather*} 6 \, x e^{\left (4 \, {\left (2 \, e + 5\right )} e^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 13, normalized size = 0.72 \begin {gather*} 6\,x\,{\mathrm {e}}^{{\mathrm {e}}^3\,\left (8\,\mathrm {e}+20\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 14, normalized size = 0.78 \begin {gather*} 6 x e^{\left (20 + 8 e\right ) e^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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