Optimal. Leaf size=8 \[ e^{2 x} y z \]
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Rubi [A] time = 0.0032724, antiderivative size = 8, normalized size of antiderivative = 1., 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} \[ e^{2 x} y z \]
Antiderivative was successfully verified.
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Rule 12
Rule 2194
Rubi steps
\begin{align*} \int 2 e^{2 x} y z \, dx &=(2 y z) \int e^{2 x} \, dx\\ &=e^{2 x} y z\\ \end{align*}
Mathematica [A] time = 0.0005961, size = 8, normalized size = 1. \[ e^{2 x} y z \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 8, normalized size = 1. \begin{align*}{{\rm e}^{2\,x}}yz \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.932509, size = 9, normalized size = 1.12 \begin{align*} y z e^{\left (2 \, x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.86235, size = 18, normalized size = 2.25 \begin{align*} y z e^{\left (2 \, x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.06015, size = 7, normalized size = 0.88 \begin{align*} y z e^{2 x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.07112, size = 9, normalized size = 1.12 \begin{align*} y z e^{\left (2 \, x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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