Optimal. Leaf size=15 \[ 4 x^{3/2}+\frac {1}{x}+10 \log (x) \]
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Rubi [A] time = 0.00, antiderivative size = 15, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 18, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 4 x^{3/2}+\frac {1}{x}+10 \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (-\frac {1}{x^2}+\frac {10}{x}+6 \sqrt {x}\right ) \, dx &=\frac {1}{x}+4 x^{3/2}+10 \log (x)\\ \end {align*}
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Mathematica [A] time = 0.01, size = 15, normalized size = 1.00 \begin {gather*} 4 x^{3/2}+\frac {1}{x}+10 \log (x) \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [A] time = 0.02, size = 22, normalized size = 1.47 \begin {gather*} \frac {4 x^{5/2}+1}{x}+20 \log \left (\sqrt {x}\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.25, size = 18, normalized size = 1.20 \begin {gather*} \frac {4 \, x^{\frac {5}{2}} + 20 \, x \log \left (\sqrt {x}\right ) + 1}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.95, size = 14, normalized size = 0.93 \begin {gather*} 4 \, x^{\frac {3}{2}} + \frac {1}{x} + 10 \, \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 = 0.00, size = 14, normalized size = 0.93 \begin {gather*} 4 x^{\frac {3}{2}}+10 \ln \relax (x )+\frac {1}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.02, size = 13, normalized size = 0.87 \begin {gather*} 4 \, x^{\frac {3}{2}} + \frac {1}{x} + 10 \, \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.29, size = 15, normalized size = 1.00 \begin {gather*} 20\,\ln \left (\sqrt {x}\right )+\frac {1}{x}+4\,x^{3/2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 14, normalized size = 0.93 \begin {gather*} 4 x^{\frac {3}{2}} + 10 \log {\relax (x )} + \frac {1}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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