Optimal. Leaf size=19 \[ 6+\frac {1}{4} \left (-x+4 x^2\right )-\log (5) \]
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Rubi [A]
time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.58, 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}{64} (1-8 x)^2 \end {gather*}
Antiderivative was successfully verified.
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Rule 9
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {1}{64} (1-8 x)^2\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 9, normalized size = 0.47 \begin {gather*} -\frac {x}{4}+x^2 \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 8, normalized size = 0.42
method | result | size |
default | \(x^{2}-\frac {1}{4} x\) | \(8\) |
norman | \(x^{2}-\frac {1}{4} x\) | \(8\) |
risch | \(x^{2}-\frac {1}{4} x\) | \(8\) |
gosper | \(\frac {x \left (4 x -1\right )}{4}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 7, normalized size = 0.37 \begin {gather*} x^{2} - \frac {1}{4} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.33, size = 7, normalized size = 0.37 \begin {gather*} x^{2} - \frac {1}{4} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 5, normalized size = 0.26 \begin {gather*} x^{2} - \frac {x}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 7, normalized size = 0.37 \begin {gather*} x^{2} - \frac {1}{4} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.04, size = 8, normalized size = 0.42 \begin {gather*} \frac {x\,\left (4\,x-1\right )}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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