Optimal. Leaf size=24 \[ -x+(3+x) \left (x-\left (-2+x-16 x^2\right )^2\right )+\log (x) \]
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Rubi [A] time = 0.01, antiderivative size = 26, normalized size of antiderivative = 1.08, number of steps used = 2, number of rules used = 1, integrand size = 29, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.034, Rules used = {14} \begin {gather*} -256 x^5-736 x^4+31 x^3-190 x^2+10 x+\log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (10+\frac {1}{x}-380 x+93 x^2-2944 x^3-1280 x^4\right ) \, dx\\ &=10 x-190 x^2+31 x^3-736 x^4-256 x^5+\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 26, normalized size = 1.08 \begin {gather*} 10 x-190 x^2+31 x^3-736 x^4-256 x^5+\log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.05, size = 26, normalized size = 1.08 \begin {gather*} -256 \, x^{5} - 736 \, x^{4} + 31 \, x^{3} - 190 \, x^{2} + 10 \, x + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.11, size = 27, normalized size = 1.12 \begin {gather*} -256 \, x^{5} - 736 \, x^{4} + 31 \, x^{3} - 190 \, x^{2} + 10 \, x + \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 27, normalized size = 1.12
method | result | size |
default | \(-256 x^{5}-736 x^{4}+31 x^{3}-190 x^{2}+10 x +\ln \relax (x )\) | \(27\) |
norman | \(-256 x^{5}-736 x^{4}+31 x^{3}-190 x^{2}+10 x +\ln \relax (x )\) | \(27\) |
risch | \(-256 x^{5}-736 x^{4}+31 x^{3}-190 x^{2}+10 x +\ln \relax (x )\) | \(27\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.59, size = 26, normalized size = 1.08 \begin {gather*} -256 \, x^{5} - 736 \, x^{4} + 31 \, x^{3} - 190 \, x^{2} + 10 \, x + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 26, normalized size = 1.08 \begin {gather*} 10\,x+\ln \relax (x)-190\,x^2+31\,x^3-736\,x^4-256\,x^5 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 26, normalized size = 1.08 \begin {gather*} - 256 x^{5} - 736 x^{4} + 31 x^{3} - 190 x^{2} + 10 x + \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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