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 = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {2225}
\begin {gather*} e^x \end {gather*}
Antiderivative was successfully verified.
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Rule 2225
Rubi steps
\begin {align*} \int e^x \, dx &=e^x\\ \end {align*}
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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 = 3, normalized size = 1.00
method | result | size |
gosper | \({\mathrm e}^{x}\) | \(3\) |
lookup | \({\mathrm e}^{x}\) | \(3\) |
derivativedivides | \({\mathrm e}^{x}\) | \(3\) |
default | \({\mathrm e}^{x}\) | \(3\) |
norman | \({\mathrm e}^{x}\) | \(3\) |
risch | \({\mathrm e}^{x}\) | \(3\) |
meijerg | \(-1+{\mathrm e}^{x}\) | \(5\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 1.10, size = 2, normalized size = 0.67 \begin {gather*} e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.40, size = 2, normalized size = 0.67 \begin {gather*} e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 2, normalized size = 0.67 \begin {gather*} e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.71, size = 2, normalized size = 0.67 \begin {gather*} e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.01, size = 2, normalized size = 0.67 \begin {gather*} {\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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