Optimal. Leaf size=9 \[ -4+5 e^{-x} \]
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Rubi [A]
time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.78, number of steps
used = 2, number of rules used = 2, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.286, Rules used = {12, 2225}
\begin {gather*} 5 e^{-x} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (5 \int e^{-x} \, dx\right )\\ &=5 e^{-x}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 7, normalized size = 0.78 \begin {gather*} 5 e^{-x} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 7, normalized size = 0.78
method | result | size |
gosper | \(5 \,{\mathrm e}^{-x}\) | \(7\) |
derivativedivides | \(5 \,{\mathrm e}^{-x}\) | \(7\) |
default | \(5 \,{\mathrm e}^{-x}\) | \(7\) |
norman | \(5 \,{\mathrm e}^{-x}\) | \(7\) |
risch | \(5 \,{\mathrm e}^{-x}\) | \(7\) |
meijerg | \(-5+5 \,{\mathrm e}^{-x}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 6, normalized size = 0.67 \begin {gather*} 5 \, e^{\left (-x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.34, size = 6, normalized size = 0.67 \begin {gather*} 5 \, e^{\left (-x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 3, normalized size = 0.33 \begin {gather*} 5 e^{- x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.39, size = 6, normalized size = 0.67 \begin {gather*} 5 \, e^{\left (-x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.01, size = 6, normalized size = 0.67 \begin {gather*} 5\,{\mathrm {e}}^{-x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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