Optimal. Leaf size=17 \[ e^{e^{e^x+2 x}+8 x \log (6)} \]
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Rubi [A] time = 0.16, 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 = {6706} \begin {gather*} 6^{8 x} e^{e^{2 x+e^x}} \end {gather*}
Antiderivative was successfully verified.
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Rule 6706
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 = 0.04, 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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fricas [A] time = 0.58, size = 14, normalized size = 0.82 \begin {gather*} e^{\left (8 \, x \log \relax (6) + e^{\left (2 \, x + e^{x}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.30, size = 14, normalized size = 0.82 \begin {gather*} e^{\left (8 \, x \log \relax (6) + e^{\left (2 \, x + e^{x}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 15, normalized size = 0.88
method | result | size |
derivativedivides | \({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \relax (6)}\) | \(15\) |
default | \({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \relax (6)}\) | \(15\) |
norman | \({\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}+2 x}+8 x \ln \relax (6)}\) | \(15\) |
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 = 0.53, size = 14, normalized size = 0.82 \begin {gather*} e^{\left (8 \, x \log \relax (6) + 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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sympy [A] time = 0.27, size = 15, normalized size = 0.88 \begin {gather*} e^{8 x \log {\relax (6 )} + e^{2 x + e^{x}}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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