Optimal. Leaf size=16 \[ \frac {2 e^{e^{e^{25}}} x^4}{\log (2)} \]
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Rubi [A] time = 0.01, antiderivative size = 16, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 16, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.125, Rules used = {12, 30} \begin {gather*} \frac {2 e^{e^{e^{25}}} x^4}{\log (2)} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {\left (8 e^{e^{e^{25}}}\right ) \int x^3 \, dx}{\log (2)}\\ &=\frac {2 e^{e^{e^{25}}} x^4}{\log (2)}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 16, normalized size = 1.00 \begin {gather*} \frac {2 e^{e^{e^{25}}} x^4}{\log (2)} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.94, size = 13, normalized size = 0.81 \begin {gather*} \frac {2 \, x^{4} e^{\left (e^{\left (e^{25}\right )}\right )}}{\log \relax (2)} \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*} \frac {2 \, x^{4} e^{\left (e^{\left (e^{25}\right )}\right )}}{\log \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 14, normalized size = 0.88
method | result | size |
gosper | \(\frac {2 x^{4} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{25}}}}{\ln \relax (2)}\) | \(14\) |
default | \(\frac {2 x^{4} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{25}}}}{\ln \relax (2)}\) | \(14\) |
norman | \(\frac {2 x^{4} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{25}}}}{\ln \relax (2)}\) | \(14\) |
risch | \(\frac {2 x^{4} {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{25}}}}{\ln \relax (2)}\) | \(14\) |
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*} \frac {2 \, x^{4} e^{\left (e^{\left (e^{25}\right )}\right )}}{\log \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 5.10, size = 13, normalized size = 0.81 \begin {gather*} \frac {2\,x^4\,{\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^{25}}}}{\ln \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 14, normalized size = 0.88 \begin {gather*} \frac {2 x^{4} e^{e^{e^{25}}}}{\log {\relax (2 )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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