Optimal. Leaf size=24 \[ 1-x-\frac {-2+\left (4+\frac {5 e^3}{3}\right )^2+x}{e} \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.38, number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {8} \begin {gather*} -\frac {(1+e) x}{e} \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\frac {(1+e) x}{e}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 0.42 \begin {gather*} -x-\frac {x}{e} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.24, size = 10, normalized size = 0.42 \begin {gather*} -{\left (x e + x\right )} e^{\left (-1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.35, size = 9, normalized size = 0.38 \begin {gather*} -x {\left (e + 1\right )} e^{\left (-1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 12, normalized size = 0.50
method | result | size |
norman | \(-{\mathrm e}^{-1} \left (1+{\mathrm e}\right ) x\) | \(12\) |
default | \(\left (-{\mathrm e}-1\right ) {\mathrm e}^{-1} x\) | \(13\) |
risch | \(-{\mathrm e}^{-1} x \,{\mathrm e}-{\mathrm e}^{-1} x\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.49, size = 9, normalized size = 0.38 \begin {gather*} -x {\left (e + 1\right )} e^{\left (-1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 9, normalized size = 0.38 \begin {gather*} -x\,{\mathrm {e}}^{-1}\,\left (\mathrm {e}+1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.04, size = 10, normalized size = 0.42 \begin {gather*} \frac {x \left (- e - 1\right )}{e} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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