Optimal. Leaf size=18 \[ -\frac{1}{2} (5-2 x)^7 (3 x+2)^4 \]
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Rubi [A] time = 0.0024369, antiderivative size = 18, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.05, Rules used = {74} \[ -\frac{1}{2} (5-2 x)^7 (3 x+2)^4 \]
Antiderivative was successfully verified.
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Rule 74
Rubi steps
\begin{align*} \int (5-2 x)^6 (2+3 x)^3 (-16+33 x) \, dx &=-\frac{1}{2} (5-2 x)^7 (2+3 x)^4\\ \end{align*}
Mathematica [B] time = 0.0029019, size = 56, normalized size = 3.11 \[ 5184 x^{11}-76896 x^{10}+452304 x^9-1256376 x^8+1235404 x^7+1497230 x^6-3816225 x^5-\frac{98125 x^4}{2}+3987500 x^3-37500 x^2-2000000 x \]
Antiderivative was successfully verified.
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Maple [B] time = 0.001, size = 55, normalized size = 3.1 \begin{align*} 5184\,{x}^{11}-76896\,{x}^{10}+452304\,{x}^{9}-1256376\,{x}^{8}+1235404\,{x}^{7}+1497230\,{x}^{6}-3816225\,{x}^{5}-{\frac{98125\,{x}^{4}}{2}}+3987500\,{x}^{3}-37500\,{x}^{2}-2000000\,x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [B] time = 1.26442, size = 73, normalized size = 4.06 \begin{align*} 5184 \, x^{11} - 76896 \, x^{10} + 452304 \, x^{9} - 1256376 \, x^{8} + 1235404 \, x^{7} + 1497230 \, x^{6} - 3816225 \, x^{5} - \frac{98125}{2} \, x^{4} + 3987500 \, x^{3} - 37500 \, x^{2} - 2000000 \, x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [B] time = 1.28754, size = 196, normalized size = 10.89 \begin{align*} 5184 x^{11} - 76896 x^{10} + 452304 x^{9} - 1256376 x^{8} + 1235404 x^{7} + 1497230 x^{6} - 3816225 x^{5} - \frac{98125}{2} x^{4} + 3987500 x^{3} - 37500 x^{2} - 2000000 x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [B] time = 0.072624, size = 54, normalized size = 3. \begin{align*} 5184 x^{11} - 76896 x^{10} + 452304 x^{9} - 1256376 x^{8} + 1235404 x^{7} + 1497230 x^{6} - 3816225 x^{5} - \frac{98125 x^{4}}{2} + 3987500 x^{3} - 37500 x^{2} - 2000000 x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [B] time = 1.86738, size = 73, normalized size = 4.06 \begin{align*} 5184 \, x^{11} - 76896 \, x^{10} + 452304 \, x^{9} - 1256376 \, x^{8} + 1235404 \, x^{7} + 1497230 \, x^{6} - 3816225 \, x^{5} - \frac{98125}{2} \, x^{4} + 3987500 \, x^{3} - 37500 \, x^{2} - 2000000 \, x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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