Optimal. Leaf size=10 \[ \frac {4 (133+x)}{3 e^5} \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.80, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {8} \begin {gather*} \frac {4 x}{3 e^5} \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {4 x}{3 e^5}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 0.80 \begin {gather*} \frac {4 x}{3 e^5} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.47, size = 5, normalized size = 0.50 \begin {gather*} \frac {4}{3} \, x e^{\left (-5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 5, normalized size = 0.50 \begin {gather*} \frac {4}{3} \, x e^{\left (-5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 6, normalized size = 0.60
method | result | size |
risch | \(\frac {4 x \,{\mathrm e}^{-5}}{3}\) | \(6\) |
default | \(\frac {4 x \,{\mathrm e}^{-5}}{3}\) | \(8\) |
norman | \(\frac {4 x \,{\mathrm e}^{-5}}{3}\) | \(8\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.43, size = 5, normalized size = 0.50 \begin {gather*} \frac {4}{3} \, x e^{\left (-5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 5, normalized size = 0.50 \begin {gather*} \frac {4\,x\,{\mathrm {e}}^{-5}}{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.01, size = 7, normalized size = 0.70 \begin {gather*} \frac {4 x}{3 e^{5}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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