Optimal. Leaf size=16 \[ 5+25 e^{-32+e}-\frac {9 x^2}{25} \]
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Rubi [A] time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.44, number of steps used = 2, number of rules used = 2, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.400, Rules used = {12, 30} \begin {gather*} -\frac {9 x^2}{25} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\frac {18 \int x \, dx}{25}\\ &=-\frac {9 x^2}{25}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 7, normalized size = 0.44 \begin {gather*} -\frac {9 x^2}{25} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.74, size = 5, normalized size = 0.31 \begin {gather*} -\frac {9}{25} \, x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.21, size = 5, normalized size = 0.31 \begin {gather*} -\frac {9}{25} \, x^{2} \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 = 0.38
method | result | size |
gosper | \(-\frac {9 x^{2}}{25}\) | \(6\) |
default | \(-\frac {9 x^{2}}{25}\) | \(6\) |
norman | \(-\frac {9 x^{2}}{25}\) | \(6\) |
risch | \(-\frac {9 x^{2}}{25}\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 5, normalized size = 0.31 \begin {gather*} -\frac {9}{25} \, x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.01, size = 5, normalized size = 0.31 \begin {gather*} -\frac {9\,x^2}{25} \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 = 0.44 \begin {gather*} - \frac {9 x^{2}}{25} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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