Optimal. Leaf size=17 \[ e^{e^{e^x+2 x}+8 x \log (6)} \]
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Rubi [A]
time = 0.10, antiderivative size = 17, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 38, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.026, Rules used = {6838}
\begin {gather*} 6^{8 x} e^{e^{2 x+e^x}} \end {gather*}
Antiderivative was successfully verified.
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Rule 6838
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=6^{8 x} e^{e^{e^x+2 x}}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.03, size = 17, normalized size = 1.00 \begin {gather*} 6^{8 x} e^{e^{e^x+2 x}} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.07, size = 15, normalized size = 0.88
method | result | size |
derivativedivides | \({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \left (6\right )}\) | \(15\) |
default | \({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \left (6\right )}\) | \(15\) |
norman | \({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \left (6\right )}\) | \(15\) |
risch | \(6561^{x} 256^{x} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}}\) | \(16\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 14, normalized size = 0.82 \begin {gather*} e^{\left (8 \, x \log \left (6\right ) + e^{\left (2 \, x + e^{x}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.38, size = 14, normalized size = 0.82 \begin {gather*} e^{\left (8 \, x \log \left (6\right ) + e^{\left (2 \, x + e^{x}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.14, size = 15, normalized size = 0.88 \begin {gather*} e^{8 x \log {\left (6 \right )} + e^{2 x + e^{x}}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 14, normalized size = 0.82 \begin {gather*} e^{\left (8 \, x \log \left (6\right ) + e^{\left (2 \, x + e^{x}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.74, size = 15, normalized size = 0.88 \begin {gather*} 6^{8\,x}\,{\mathrm {e}}^{{\mathrm {e}}^{2\,x}\,{\mathrm {e}}^{{\mathrm {e}}^x}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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