Optimal. Leaf size=13 \[ e^{4 (-1+5 (-4+3 x))} \]
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Rubi [A] time = 0.01, antiderivative size = 7, normalized size of antiderivative = 0.54, number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.222, Rules used = {12, 2194} \begin {gather*} e^{60 x-84} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=60 \int e^{-84+60 x} \, dx\\ &=e^{-84+60 x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 7, normalized size = 0.54 \begin {gather*} e^{-84+60 x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.66, size = 6, normalized size = 0.46 \begin {gather*} e^{\left (60 \, x - 84\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.39, size = 6, normalized size = 0.46 \begin {gather*} e^{\left (60 \, x - 84\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 7, normalized size = 0.54
method | result | size |
gosper | \({\mathrm e}^{60 x -84}\) | \(7\) |
derivativedivides | \({\mathrm e}^{60 x -84}\) | \(7\) |
default | \({\mathrm e}^{60 x -84}\) | \(7\) |
norman | \({\mathrm e}^{60 x -84}\) | \(7\) |
risch | \({\mathrm e}^{60 x -84}\) | \(7\) |
meijerg | \(-{\mathrm e}^{-84} \left (1-{\mathrm e}^{60 x}\right )\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 6, normalized size = 0.46 \begin {gather*} e^{\left (60 \, x - 84\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.70, size = 7, normalized size = 0.54 \begin {gather*} {\mathrm {e}}^{60\,x}\,{\mathrm {e}}^{-84} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 5, normalized size = 0.38 \begin {gather*} e^{60 x - 84} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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