Optimal. Leaf size=9 \[ e^{4 x+x^2} \]
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Rubi [A] time = 0.01, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.067, Rules used = {2236} \begin {gather*} e^{x^2+4 x} \end {gather*}
Antiderivative was successfully verified.
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Rule 2236
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{4 x+x^2}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.03, size = 9, normalized size = 1.00 \begin {gather*} e^{4 x+x^2} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.53, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (x^{2} + 4 \, x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.13, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (x^{2} + 4 \, x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 7, normalized size = 0.78
method | result | size |
risch | \({\mathrm e}^{\left (4+x \right ) x}\) | \(7\) |
gosper | \({\mathrm e}^{x^{2}+4 x}\) | \(9\) |
derivativedivides | \({\mathrm e}^{x^{2}+4 x}\) | \(9\) |
default | \({\mathrm e}^{x^{2}+4 x}\) | \(9\) |
norman | \({\mathrm e}^{x^{2}+4 x}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.38, size = 8, normalized size = 0.89 \begin {gather*} e^{\left (x^{2} + 4 \, x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 4.13, size = 6, normalized size = 0.67 \begin {gather*} {\mathrm {e}}^{x\,\left (x+4\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 7, normalized size = 0.78 \begin {gather*} e^{x^{2} + 4 x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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