Optimal. Leaf size=20 \[ \log \left (16 \left (-2+e^{625}+x-3 \left (1-25 x^2\right )\right )^2\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 18, normalized size of antiderivative = 0.90, number of steps used = 1, number of rules used = 1, integrand size = 19, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.053, Rules used = {628} \begin {gather*} 2 \log \left (-75 x^2-x-e^{625}+5\right ) \end {gather*}
Antiderivative was successfully verified.
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Rule 628
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=2 \log \left (5-e^{625}-x-75 x^2\right )\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 0.70 \begin {gather*} 2 \log \left (-5+e^{625}+x+75 x^2\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.73, size = 13, normalized size = 0.65 \begin {gather*} 2 \, \log \left (75 \, x^{2} + x + e^{625} - 5\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.24, size = 13, normalized size = 0.65 \begin {gather*} 2 \, \log \left (75 \, x^{2} + x + e^{625} - 5\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.64, size = 14, normalized size = 0.70
method | result | size |
default | \(2 \ln \left ({\mathrm e}^{625}+75 x^{2}+x -5\right )\) | \(14\) |
norman | \(2 \ln \left ({\mathrm e}^{625}+75 x^{2}+x -5\right )\) | \(14\) |
risch | \(2 \ln \left ({\mathrm e}^{625}+75 x^{2}+x -5\right )\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.51, size = 13, normalized size = 0.65 \begin {gather*} 2 \, \log \left (75 \, x^{2} + x + e^{625} - 5\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.98, size = 13, normalized size = 0.65 \begin {gather*} 2\,\ln \left (75\,x^2+x+{\mathrm {e}}^{625}-5\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.12, size = 14, normalized size = 0.70 \begin {gather*} 2 \log {\left (75 x^{2} + x - 5 + e^{625} \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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