Optimal. Leaf size=18 \[ \frac {2 x-2 x \left (e^x+5 x\right )}{x} \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.50, number of steps used = 2, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {2194} \begin {gather*} -10 x-2 e^x \end {gather*}
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-10 x-2 \int e^x \, dx\\ &=-2 e^x-10 x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 0.50 \begin {gather*} -2 \left (e^x+5 x\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.86, size = 8, normalized size = 0.44 \begin {gather*} -10 \, x - 2 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.38, size = 8, normalized size = 0.44 \begin {gather*} -10 \, x - 2 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 9, normalized size = 0.50
method | result | size |
default | \(-2 \,{\mathrm e}^{x}-10 x\) | \(9\) |
norman | \(-2 \,{\mathrm e}^{x}-10 x\) | \(9\) |
risch | \(-2 \,{\mathrm e}^{x}-10 x\) | \(9\) |
derivativedivides | \(-2 \,{\mathrm e}^{x}-10 \ln \left ({\mathrm e}^{x}\right )\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.48, size = 8, normalized size = 0.44 \begin {gather*} -10 \, x - 2 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 8, normalized size = 0.44 \begin {gather*} -10\,x-2\,{\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 8, normalized size = 0.44 \begin {gather*} - 10 x - 2 e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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