Optimal. Leaf size=35 \[ 30 x^6+\frac {168 x^5}{5}-\frac {79 x^4}{4}-\frac {89 x^3}{3}+4 x^2+12 x \]
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Rubi [A] time = 0.01, antiderivative size = 35, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 20, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.050, Rules used = {77} \[ 30 x^6+\frac {168 x^5}{5}-\frac {79 x^4}{4}-\frac {89 x^3}{3}+4 x^2+12 x \]
Antiderivative was successfully verified.
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Rule 77
Rubi steps
\begin {align*} \int (1-2 x)^2 (2+3 x)^2 (3+5 x) \, dx &=\int \left (12+8 x-89 x^2-79 x^3+168 x^4+180 x^5\right ) \, dx\\ &=12 x+4 x^2-\frac {89 x^3}{3}-\frac {79 x^4}{4}+\frac {168 x^5}{5}+30 x^6\\ \end {align*}
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Mathematica [A] time = 0.00, size = 35, normalized size = 1.00 \[ 30 x^6+\frac {168 x^5}{5}-\frac {79 x^4}{4}-\frac {89 x^3}{3}+4 x^2+12 x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.58, size = 29, normalized size = 0.83 \[ 30 x^{6} + \frac {168}{5} x^{5} - \frac {79}{4} x^{4} - \frac {89}{3} x^{3} + 4 x^{2} + 12 x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.25, size = 29, normalized size = 0.83 \[ 30 \, x^{6} + \frac {168}{5} \, x^{5} - \frac {79}{4} \, x^{4} - \frac {89}{3} \, x^{3} + 4 \, x^{2} + 12 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 30, normalized size = 0.86 \[ 30 x^{6}+\frac {168}{5} x^{5}-\frac {79}{4} x^{4}-\frac {89}{3} x^{3}+4 x^{2}+12 x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.50, size = 29, normalized size = 0.83 \[ 30 \, x^{6} + \frac {168}{5} \, x^{5} - \frac {79}{4} \, x^{4} - \frac {89}{3} \, x^{3} + 4 \, x^{2} + 12 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 29, normalized size = 0.83 \[ 30\,x^6+\frac {168\,x^5}{5}-\frac {79\,x^4}{4}-\frac {89\,x^3}{3}+4\,x^2+12\,x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 32, normalized size = 0.91 \[ 30 x^{6} + \frac {168 x^{5}}{5} - \frac {79 x^{4}}{4} - \frac {89 x^{3}}{3} + 4 x^{2} + 12 x \]
Verification of antiderivative is not currently implemented for this CAS.
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