Optimal. Leaf size=28 \[ 3 e^{-e^{x+2 (-e+2 x)}} x^{1-\frac {1}{x^2}} \]
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Rubi [A] time = 0.11, antiderivative size = 24, normalized size of antiderivative = 0.86, number of steps used = 1, number of rules used = 1, integrand size = 48, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.021, Rules used = {2288} \begin {gather*} 3 e^{-e^{5 x-2 e}} x^{1-\frac {1}{x^2}} \end {gather*}
Antiderivative was successfully verified.
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Rule 2288
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=3 e^{-e^{-2 e+5 x}} x^{1-\frac {1}{x^2}}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.08, size = 24, normalized size = 0.86 \begin {gather*} 3 e^{-e^{-2 e+5 x}} x^{1-\frac {1}{x^2}} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.92, size = 22, normalized size = 0.79 \begin {gather*} \frac {3 \, x e^{\left (-e^{\left (5 \, x - 2 \, e\right )}\right )}}{x^{\left (\frac {1}{x^{2}}\right )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int -\frac {3 \, {\left (5 \, x^{3} e^{\left (5 \, x - 2 \, e\right )} - x^{2} - 2 \, \log \relax (x) + 1\right )} e^{\left (-e^{\left (5 \, x - 2 \, e\right )}\right )}}{x^{2} x^{\left (\frac {1}{x^{2}}\right )}}\,{d x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 23, normalized size = 0.82
method | result | size |
risch | \(3 x \,x^{-\frac {1}{x^{2}}} {\mathrm e}^{-{\mathrm e}^{-2 \,{\mathrm e}+5 x}}\) | \(23\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.60, size = 23, normalized size = 0.82 \begin {gather*} 3 \, x e^{\left (-\frac {\log \relax (x)}{x^{2}} - e^{\left (5 \, x - 2 \, e\right )}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 4.39, size = 23, normalized size = 0.82 \begin {gather*} 3\,x^{1-\frac {1}{x^2}}\,{\mathrm {e}}^{-{\mathrm {e}}^{-2\,\mathrm {e}}\,{\mathrm {e}}^{5\,x}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [F(-1)] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Timed out} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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