Optimal. Leaf size=14 \[ e^{729-\frac {e^{2 x}}{x^4}} \]
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Rubi [F]
time = 0.29, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps
used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} \int \frac {e^{729-\frac {e^{2 x}}{x^4}+2 x} (4-2 x)}{x^5} \, dx \end {gather*}
Verification is not applicable to the result.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (\frac {4 e^{729-\frac {e^{2 x}}{x^4}+2 x}}{x^5}-\frac {2 e^{729-\frac {e^{2 x}}{x^4}+2 x}}{x^4}\right ) \, dx\\ &=-\left (2 \int \frac {e^{729-\frac {e^{2 x}}{x^4}+2 x}}{x^4} \, dx\right )+4 \int \frac {e^{729-\frac {e^{2 x}}{x^4}+2 x}}{x^5} \, dx\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.06, size = 14, normalized size = 1.00 \begin {gather*} e^{729-\frac {e^{2 x}}{x^4}} \end {gather*}
Antiderivative was successfully verified.
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Maple [F]
time = 0.09, size = 0, normalized size = 0.00 \[\int \frac {\left (4-2 x \right ) {\mathrm e}^{2 x} {\mathrm e}^{-\ln \left (x \,{\mathrm e}^{\frac {{\mathrm e}^{2 x}}{x^{4}}}\right )+729}}{x^{4}}\, dx\]
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.37, size = 12, normalized size = 0.86 \begin {gather*} e^{\left (-\frac {e^{\left (2 \, x\right )}}{x^{4}} + 729\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.37, size = 12, normalized size = 0.86 \begin {gather*} e^{\left (-\frac {e^{\left (2 \, x\right )}}{x^{4}} + 729\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.11, size = 12, normalized size = 0.86 \begin {gather*} e^{729} e^{- \frac {e^{2 x}}{x^{4}}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.39, size = 12, normalized size = 0.86 \begin {gather*} e^{\left (-\frac {e^{\left (2 \, x\right )}}{x^{4}} + 729\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 1.13, size = 13, normalized size = 0.93 \begin {gather*} {\mathrm {e}}^{729}\,{\mathrm {e}}^{-\frac {{\mathrm {e}}^{2\,x}}{x^4}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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