Optimal. Leaf size=9 \[ e^{\frac {x^5}{4}} \]
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Rubi [A] time = 0.02, antiderivative size = 9, 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, 2209} \begin {gather*} e^{\frac {x^5}{4}} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2209
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {5}{4} \int e^{\frac {x^5}{4}} x^4 \, dx\\ &=e^{\frac {x^5}{4}}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \begin {gather*} e^{\frac {x^5}{4}} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.87, size = 6, normalized size = 0.67 \begin {gather*} e^{\left (\frac {1}{4} \, x^{5}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.18, size = 6, normalized size = 0.67 \begin {gather*} e^{\left (\frac {1}{4} \, x^{5}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 7, normalized size = 0.78
method | result | size |
gosper | \({\mathrm e}^{\frac {x^{5}}{4}}\) | \(7\) |
derivativedivides | \({\mathrm e}^{\frac {x^{5}}{4}}\) | \(7\) |
default | \({\mathrm e}^{\frac {x^{5}}{4}}\) | \(7\) |
norman | \({\mathrm e}^{\frac {x^{5}}{4}}\) | \(7\) |
risch | \({\mathrm e}^{\frac {x^{5}}{4}}\) | \(7\) |
meijerg | \(-1+{\mathrm e}^{\frac {x^{5}}{4}}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 6, normalized size = 0.67 \begin {gather*} e^{\left (\frac {1}{4} \, x^{5}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 1.67, size = 6, normalized size = 0.67 \begin {gather*} {\mathrm {e}}^{\frac {x^5}{4}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 5, normalized size = 0.56 \begin {gather*} e^{\frac {x^{5}}{4}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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