Optimal. Leaf size=20 \[ 5 \left (1-e^{1+2 x}+5 (-24+2 x)\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 13, normalized size of antiderivative = 0.65, number of steps
used = 2, number of rules used = 1, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {2225}
\begin {gather*} 50 x-5 e^{2 x+1} \end {gather*}
Antiderivative was successfully verified.
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Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=50 x-10 \int e^{1+2 x} \, dx\\ &=-5 e^{1+2 x}+50 x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.02, size = 17, normalized size = 0.85 \begin {gather*} -10 \left (\frac {1}{2} e^{1+2 x}-5 x\right ) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.12, size = 13, normalized size = 0.65
method | result | size |
default | \(50 x -5 \,{\mathrm e}^{2 x +1}\) | \(13\) |
norman | \(50 x -5 \,{\mathrm e}^{2 x +1}\) | \(13\) |
risch | \(50 x -5 \,{\mathrm e}^{2 x +1}\) | \(13\) |
derivativedivides | \(-5 \,{\mathrm e}^{2 x +1}+25 \ln \left ({\mathrm e}^{2 x +1}\right )\) | \(19\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.29, size = 12, normalized size = 0.60 \begin {gather*} 50 \, x - 5 \, e^{\left (2 \, x + 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.36, size = 12, normalized size = 0.60 \begin {gather*} 50 \, x - 5 \, e^{\left (2 \, x + 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 10, normalized size = 0.50 \begin {gather*} 50 x - 5 e^{2 x + 1} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 12, normalized size = 0.60 \begin {gather*} 50 \, x - 5 \, e^{\left (2 \, x + 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.06, size = 12, normalized size = 0.60 \begin {gather*} 50\,x-5\,{\mathrm {e}}^{2\,x}\,\mathrm {e} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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