Optimal. Leaf size=22 \[ 1-e^2+x+x^2+\left (2+\frac {3 x}{2}\right )^2+\log (4) \]
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Rubi [A]
time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.50, 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 = {9}
\begin {gather*} \frac {1}{52} (13 x+14)^2 \end {gather*}
Antiderivative was successfully verified.
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Rule 9
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {1}{52} (14+13 x)^2\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 11, normalized size = 0.50 \begin {gather*} 7 x+\frac {13 x^2}{4} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.12, size = 10, normalized size = 0.45
method | result | size |
gosper | \(\frac {x \left (13 x +28\right )}{4}\) | \(9\) |
default | \(\frac {13}{4} x^{2}+7 x\) | \(10\) |
norman | \(\frac {13}{4} x^{2}+7 x\) | \(10\) |
risch | \(\frac {13}{4} x^{2}+7 x\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.25, size = 9, normalized size = 0.41 \begin {gather*} \frac {13}{4} \, x^{2} + 7 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.39, size = 9, normalized size = 0.41 \begin {gather*} \frac {13}{4} \, x^{2} + 7 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 8, normalized size = 0.36 \begin {gather*} \frac {13 x^{2}}{4} + 7 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 9, normalized size = 0.41 \begin {gather*} \frac {13}{4} \, x^{2} + 7 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 8, normalized size = 0.36 \begin {gather*} \frac {x\,\left (13\,x+28\right )}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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