Optimal. Leaf size=23 \[ -e^{2-e^9+2 x+\frac {4+x}{3}}+x \]
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Rubi [A]
time = 0.01, antiderivative size = 20, normalized size of antiderivative = 0.87, number of steps
used = 3, number of rules used = 2, integrand size = 24, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.083, Rules used = {12, 2225}
\begin {gather*} x-e^{\frac {1}{3} \left (7 x-3 e^9+10\right )} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {1}{3} \int \left (3-7 e^{\frac {1}{3} \left (10-3 e^9+7 x\right )}\right ) \, dx\\ &=x-\frac {7}{3} \int e^{\frac {1}{3} \left (10-3 e^9+7 x\right )} \, dx\\ &=-e^{\frac {1}{3} \left (10-3 e^9+7 x\right )}+x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.03, size = 20, normalized size = 0.87 \begin {gather*} -e^{\frac {10}{3}-e^9+\frac {7 x}{3}}+x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.02, size = 15, normalized size = 0.65
method | result | size |
default | \(x -{\mathrm e}^{-{\mathrm e}^{9}+\frac {7 x}{3}+\frac {10}{3}}\) | \(15\) |
norman | \(x -{\mathrm e}^{-{\mathrm e}^{9}+\frac {7 x}{3}+\frac {10}{3}}\) | \(15\) |
risch | \(x -{\mathrm e}^{-{\mathrm e}^{9}+\frac {7 x}{3}+\frac {10}{3}}\) | \(15\) |
derivativedivides | \(-{\mathrm e}^{-{\mathrm e}^{9}+\frac {7 x}{3}+\frac {10}{3}}+\frac {3 \ln \left ({\mathrm e}^{-{\mathrm e}^{9}+\frac {7 x}{3}+\frac {10}{3}}\right )}{7}\) | \(27\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.28, size = 14, normalized size = 0.61 \begin {gather*} x - e^{\left (\frac {7}{3} \, x - e^{9} + \frac {10}{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.39, size = 14, normalized size = 0.61 \begin {gather*} x - e^{\left (\frac {7}{3} \, x - e^{9} + \frac {10}{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 14, normalized size = 0.61 \begin {gather*} x - e^{\frac {7 x}{3} - e^{9} + \frac {10}{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 14, normalized size = 0.61 \begin {gather*} x - e^{\left (\frac {7}{3} \, x - e^{9} + \frac {10}{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.08, size = 15, normalized size = 0.65 \begin {gather*} x-{\mathrm {e}}^{-{\mathrm {e}}^9}\,{\mathrm {e}}^{\frac {7\,x}{3}}\,{\mathrm {e}}^{10/3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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