Optimal. Leaf size=26 \[ 20 x^5+5 x^4-\frac {59 x^3}{3}-3 x^2+9 x \]
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Rubi [A] time = 0.01, antiderivative size = 26, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.067, Rules used = {43} \[ 20 x^5+5 x^4-\frac {59 x^3}{3}-3 x^2+9 x \]
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin {align*} \int (1-2 x)^2 (3+5 x)^2 \, dx &=\int \left (9-6 x-59 x^2+20 x^3+100 x^4\right ) \, dx\\ &=9 x-3 x^2-\frac {59 x^3}{3}+5 x^4+20 x^5\\ \end {align*}
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Mathematica [A] time = 0.00, size = 26, normalized size = 1.00 \[ 20 x^5+5 x^4-\frac {59 x^3}{3}-3 x^2+9 x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.65, size = 24, normalized size = 0.92 \[ 20 x^{5} + 5 x^{4} - \frac {59}{3} x^{3} - 3 x^{2} + 9 x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.42, size = 24, normalized size = 0.92 \[ 20 \, x^{5} + 5 \, x^{4} - \frac {59}{3} \, x^{3} - 3 \, x^{2} + 9 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 25, normalized size = 0.96 \[ 20 x^{5}+5 x^{4}-\frac {59}{3} x^{3}-3 x^{2}+9 x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.63, size = 24, normalized size = 0.92 \[ 20 \, x^{5} + 5 \, x^{4} - \frac {59}{3} \, x^{3} - 3 \, x^{2} + 9 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 24, normalized size = 0.92 \[ 20\,x^5+5\,x^4-\frac {59\,x^3}{3}-3\,x^2+9\,x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 24, normalized size = 0.92 \[ 20 x^{5} + 5 x^{4} - \frac {59 x^{3}}{3} - 3 x^{2} + 9 x \]
Verification of antiderivative is not currently implemented for this CAS.
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