Optimal. Leaf size=3 \[ e x \]
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Rubi [A]
time = 0.00, antiderivative size = 3, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 1.000, Rules used = {8}
\begin {gather*} e x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {Integral} &=e x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 3, normalized size = 1.00 \begin {gather*} e x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 9, normalized size = 3.00
method | result | size |
parallelrisch | \(x^{\frac {1}{\ln \left (x \right )}} x\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.34, size = 4, normalized size = 1.33 \begin {gather*} x e \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.54, size = 4, normalized size = 1.33 \begin {gather*} x e \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 3, normalized size = 1.00 \begin {gather*} e x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.48, size = 4, normalized size = 1.33 \begin {gather*} x e \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.01, size = 4, normalized size = 1.33 \begin {gather*} x\,\mathrm {e} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Chatgpt [A] valid for real x
time = 1.00, size = 4, normalized size = 1.33 \begin {gather*} {\mathrm e} x \end {gather*}
Antiderivative was successfully verified.
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