Optimal. Leaf size=19 \[ \frac {1}{2} \left (-\frac {120}{29}+x\right ) x-e^5 (21+x) \]
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Rubi [A]
time = 0.00, antiderivative size = 16, normalized size of antiderivative = 0.84, number of steps
used = 1, number of rules used = 1, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.071, Rules used = {9}
\begin {gather*} \frac {\left (-29 x+29 e^5+60\right )^2}{1682} \end {gather*}
Antiderivative was successfully verified.
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Rule 9
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {\left (60+29 e^5-29 x\right )^2}{1682}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 19, normalized size = 1.00 \begin {gather*} -\frac {60 x}{29}-e^5 x+\frac {x^2}{2} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.15, size = 15, normalized size = 0.79
method | result | size |
gosper | \(-\frac {x \left (-29 x +58 \,{\mathrm e}^{5}+120\right )}{58}\) | \(13\) |
default | \(-x \,{\mathrm e}^{5}+\frac {x^{2}}{2}-\frac {60 x}{29}\) | \(15\) |
norman | \(\left (-{\mathrm e}^{5}-\frac {60}{29}\right ) x +\frac {x^{2}}{2}\) | \(15\) |
risch | \(-x \,{\mathrm e}^{5}+\frac {x^{2}}{2}-\frac {60 x}{29}\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 14, normalized size = 0.74 \begin {gather*} \frac {1}{2} \, x^{2} - x e^{5} - \frac {60}{29} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.34, size = 14, normalized size = 0.74 \begin {gather*} \frac {1}{2} \, x^{2} - x e^{5} - \frac {60}{29} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 14, normalized size = 0.74 \begin {gather*} \frac {x^{2}}{2} + x \left (- e^{5} - \frac {60}{29}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 14, normalized size = 0.74 \begin {gather*} \frac {1}{2} \, x^{2} - x e^{5} - \frac {60}{29} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.02, size = 13, normalized size = 0.68 \begin {gather*} \frac {x^2}{2}-x\,\left ({\mathrm {e}}^5+\frac {60}{29}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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