Optimal. Leaf size=9 \[ e^{-2+225 x^5} \]
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Rubi [A]
time = 0.01, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps
used = 2, number of rules used = 2, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {12, 2240}
\begin {gather*} e^{225 x^5-2} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2240
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=1125 \int e^{-2+225 x^5} x^4 \, dx\\ &=e^{-2+225 x^5}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.01, size = 9, normalized size = 1.00 \begin {gather*} e^{-2+225 x^5} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.04, size = 9, normalized size = 1.00
method | result | size |
gosper | \({\mathrm e}^{225 x^{5}-2}\) | \(9\) |
derivativedivides | \({\mathrm e}^{225 x^{5}-2}\) | \(9\) |
default | \({\mathrm e}^{225 x^{5}-2}\) | \(9\) |
norman | \({\mathrm e}^{225 x^{5}-2}\) | \(9\) |
risch | \({\mathrm e}^{225 x^{5}-2}\) | \(9\) |
meijerg | \(-{\mathrm e}^{-2} \left (1-{\mathrm e}^{225 x^{5}}\right )\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (225 \, x^{5} - 2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.38, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (225 \, x^{5} - 2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 7, normalized size = 0.78 \begin {gather*} e^{225 x^{5} - 2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (225 \, x^{5} - 2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 1.11, size = 9, normalized size = 1.00 \begin {gather*} {\mathrm {e}}^{-2}\,{\mathrm {e}}^{225\,x^5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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