Optimal. Leaf size=16 \[ 45 e^{2 e^2} \left (3+2 e^x\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.69, number of steps used = 2, number of rules used = 2, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.182, Rules used = {12, 2194} \begin {gather*} 90 e^{x+2 e^2} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=90 \int e^{2 e^2+x} \, dx\\ &=90 e^{2 e^2+x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 0.69 \begin {gather*} 90 e^{2 e^2+x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.58, size = 9, normalized size = 0.56 \begin {gather*} 90 \, e^{\left (x + 2 \, e^{2}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.13, size = 9, normalized size = 0.56 \begin {gather*} 90 \, e^{\left (x + 2 \, e^{2}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 10, normalized size = 0.62
method | result | size |
risch | \(90 \,{\mathrm e}^{x +2 \,{\mathrm e}^{2}}\) | \(10\) |
gosper | \(90 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{2}}\) | \(12\) |
derivativedivides | \(90 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{2}}\) | \(12\) |
default | \(90 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{2}}\) | \(12\) |
norman | \(90 \,{\mathrm e}^{x} {\mathrm e}^{2 \,{\mathrm e}^{2}}\) | \(12\) |
meijerg | \(-90 \,{\mathrm e}^{2 \,{\mathrm e}^{2}} \left (1-{\mathrm e}^{x}\right )\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 9, normalized size = 0.56 \begin {gather*} 90 \, e^{\left (x + 2 \, e^{2}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 9, normalized size = 0.56 \begin {gather*} 90\,{\mathrm {e}}^{2\,{\mathrm {e}}^2}\,{\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 10, normalized size = 0.62 \begin {gather*} 90 e^{x} e^{2 e^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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