Optimal. Leaf size=18 \[ 4+e^e \left (2+e^4\right ) x+2 \log \left (\frac {4}{3}\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.56, number of steps
used = 1, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {8}
\begin {gather*} e^e \left (2+e^4\right ) x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^e \left (2+e^4\right ) x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 14, normalized size = 0.78 \begin {gather*} 2 e^e x+e^{4+e} x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 10, normalized size = 0.56
method | result | size |
default | \(\left (2+{\mathrm e}^{4}\right ) x \,{\mathrm e}^{{\mathrm e}}\) | \(10\) |
norman | \(\left (2 \,{\mathrm e}^{{\mathrm e}}+{\mathrm e}^{{\mathrm e}} {\mathrm e}^{4}\right ) x\) | \(15\) |
risch | \(x \,{\mathrm e}^{{\mathrm e}} {\mathrm e}^{4}+2 x \,{\mathrm e}^{{\mathrm e}}\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 9, normalized size = 0.50 \begin {gather*} x {\left (e^{4} + 2\right )} e^{e} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.35, size = 12, normalized size = 0.67 \begin {gather*} {\left (x e^{4} + 2 \, x\right )} e^{e} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 10, normalized size = 0.56 \begin {gather*} x \left (2 + e^{4}\right ) e^{e} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.42, size = 9, normalized size = 0.50 \begin {gather*} x {\left (e^{4} + 2\right )} e^{e} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.00, size = 9, normalized size = 0.50 \begin {gather*} x\,{\mathrm {e}}^{\mathrm {e}}\,\left ({\mathrm {e}}^4+2\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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