Optimal. Leaf size=8 \[ e^{2 x} y z \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ e^{2 x} y z \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 7, normalized size = 0.88 \[ y z e^{\left (2 \, x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.10, size = 7, normalized size = 0.88 \[ y z e^{\left (2 \, x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 8, normalized size = 1.00 \[ y z \,{\mathrm e}^{2 x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.48, size = 7, normalized size = 0.88 \[ y z e^{\left (2 \, x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 7, normalized size = 0.88 \[ y\,z\,{\mathrm {e}}^{2\,x} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.88 \[ y z e^{2 x} \]
Verification of antiderivative is not currently implemented for this CAS.
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