Optimal. Leaf size=16 \[ 21 \left (x-e^{-\frac {1}{e^{7/18}}} x\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 16, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 21, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.048, Rules used = {8} \begin {gather*} 21 \left (1-e^{-\frac {1}{e^{7/18}}}\right ) x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=21 \left (1-e^{-\frac {1}{e^{7/18}}}\right ) x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 16, normalized size = 1.00 \begin {gather*} 21 x-21 e^{-\frac {1}{e^{7/18}}} x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.48, size = 16, normalized size = 1.00 \begin {gather*} 21 \, {\left (x e^{\left (e^{\left (-\frac {7}{18}\right )}\right )} - x\right )} e^{\left (-e^{\left (-\frac {7}{18}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 13, normalized size = 0.81 \begin {gather*} 21 \, x {\left (e^{\left (e^{\left (-\frac {7}{18}\right )}\right )} - 1\right )} e^{\left (-e^{\left (-\frac {7}{18}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 18, normalized size = 1.12
method | result | size |
norman | \(21 \left ({\mathrm e}^{{\mathrm e}^{-\frac {7}{18}}}-1\right ) {\mathrm e}^{-{\mathrm e}^{-\frac {7}{18}}} x\) | \(18\) |
default | \(\left (21 \,{\mathrm e}^{{\mathrm e}^{-\frac {7}{18}}}-21\right ) {\mathrm e}^{-{\mathrm e}^{-\frac {7}{18}}} x\) | \(19\) |
risch | \(21 \,{\mathrm e}^{-{\mathrm e}^{-\frac {7}{18}}} x \,{\mathrm e}^{{\mathrm e}^{-\frac {7}{18}}}-21 \,{\mathrm e}^{-{\mathrm e}^{-\frac {7}{18}}} x\) | \(21\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 13, normalized size = 0.81 \begin {gather*} 21 \, x {\left (e^{\left (e^{\left (-\frac {7}{18}\right )}\right )} - 1\right )} e^{\left (-e^{\left (-\frac {7}{18}\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 14, normalized size = 0.88 \begin {gather*} x\,{\mathrm {e}}^{-{\mathrm {e}}^{-\frac {7}{18}}}\,\left (21\,{\mathrm {e}}^{{\mathrm {e}}^{-\frac {7}{18}}}-21\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 20, normalized size = 1.25 \begin {gather*} \frac {x \left (-21 + 21 e^{e^{- \frac {7}{18}}}\right )}{e^{e^{- \frac {7}{18}}}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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