Optimal. Leaf size=15 \[ 16+2 e^{e^{e^8}-x} \]
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Rubi [A] time = 0.00, antiderivative size = 13, normalized size of antiderivative = 0.87, number of steps used = 2, number of rules used = 2, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.154, Rules used = {12, 2194} \begin {gather*} 2 e^{e^{e^8}-x} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (2 \int e^{e^{e^8}-x} \, dx\right )\\ &=2 e^{e^{e^8}-x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 13, normalized size = 0.87 \begin {gather*} 2 e^{e^{e^8}-x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.07, size = 10, normalized size = 0.67 \begin {gather*} 2 \, e^{\left (-x + e^{\left (e^{8}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.23, size = 10, normalized size = 0.67 \begin {gather*} 2 \, e^{\left (-x + e^{\left (e^{8}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 11, normalized size = 0.73
method | result | size |
risch | \(2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}\) | \(11\) |
gosper | \(2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}\) | \(15\) |
derivativedivides | \(2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}\) | \(15\) |
default | \(2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}\) | \(15\) |
norman | \(2 \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{8}}-x}\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.39, size = 10, normalized size = 0.67 \begin {gather*} 2 \, e^{\left (-x + e^{\left (e^{8}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.05, size = 10, normalized size = 0.67 \begin {gather*} 2\,{\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^8}}\,{\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 = 8, normalized size = 0.53 \begin {gather*} 2 e^{- x + e^{e^{8}}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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