Optimal. Leaf size=18 \[ -\frac {3 e^x}{x}+130 \left (5+e^3+\log (2)\right ) \]
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Rubi [A] time = 0.02, antiderivative size = 8, normalized size of antiderivative = 0.44, number of steps used = 1, number of rules used = 1, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.083, Rules used = {2197} \begin {gather*} -\frac {3 e^x}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 2197
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\frac {3 e^x}{x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 0.44 \begin {gather*} -\frac {3 e^x}{x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.73, size = 7, normalized size = 0.39 \begin {gather*} -\frac {3 \, e^{x}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.27, size = 7, normalized size = 0.39 \begin {gather*} -\frac {3 \, e^{x}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 8, normalized size = 0.44
method | result | size |
gosper | \(-\frac {3 \,{\mathrm e}^{x}}{x}\) | \(8\) |
default | \(-\frac {3 \,{\mathrm e}^{x}}{x}\) | \(8\) |
norman | \(-\frac {3 \,{\mathrm e}^{x}}{x}\) | \(8\) |
risch | \(-\frac {3 \,{\mathrm e}^{x}}{x}\) | \(8\) |
meijerg | \(-3+\frac {3 x +3}{x}-\frac {3 \,{\mathrm e}^{x}}{x}-\frac {3}{x}\) | \(25\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [C] time = 0.41, size = 12, normalized size = 0.67 \begin {gather*} -3 \, {\rm Ei}\relax (x) + 3 \, \Gamma \left (-1, -x\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 7, normalized size = 0.39 \begin {gather*} -\frac {3\,{\mathrm {e}}^x}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 7, normalized size = 0.39 \begin {gather*} - \frac {3 e^{x}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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