Optimal. Leaf size=27 \[ 1+\frac {1}{2} \left (-4 \left (-3 e^3-\frac {x}{5}\right )+e \left (e^4+x\right )\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.37, 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}{10} (4+5 e) x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {1}{10} (4+5 e) x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 0.44 \begin {gather*} \frac {2 x}{5}+\frac {e x}{2} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 2.07, size = 9, normalized size = 0.33 \begin {gather*} \frac {1}{2} \, x e + \frac {2}{5} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 9, normalized size = 0.33 \begin {gather*} \frac {1}{10} \, x {\left (5 \, e + 4\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 9, normalized size = 0.33
method | result | size |
default | \(\left (\frac {{\mathrm e}}{2}+\frac {2}{5}\right ) x\) | \(9\) |
norman | \(\left (\frac {{\mathrm e}}{2}+\frac {2}{5}\right ) x\) | \(9\) |
risch | \(\frac {x \,{\mathrm e}}{2}+\frac {2 x}{5}\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 9, normalized size = 0.33 \begin {gather*} \frac {1}{10} \, x {\left (5 \, e + 4\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 8, normalized size = 0.30 \begin {gather*} x\,\left (\frac {\mathrm {e}}{2}+\frac {2}{5}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 8, normalized size = 0.30 \begin {gather*} x \left (\frac {2}{5} + \frac {e}{2}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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