Optimal. Leaf size=62 \[ -\frac {81000 x^{11}}{11}-24030 x^{10}-23370 x^9+\frac {41619 x^8}{8}+22949 x^7+\frac {19607 x^6}{2}-\frac {28917 x^5}{5}-5548 x^4-312 x^3+1080 x^2+432 x \]
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Rubi [A] time = 0.03, antiderivative size = 62, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 22, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.045, Rules used = {88} \[ -\frac {81000 x^{11}}{11}-24030 x^{10}-23370 x^9+\frac {41619 x^8}{8}+22949 x^7+\frac {19607 x^6}{2}-\frac {28917 x^5}{5}-5548 x^4-312 x^3+1080 x^2+432 x \]
Antiderivative was successfully verified.
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Rule 88
Rubi steps
\begin {align*} \int (1-2 x)^3 (2+3 x)^4 (3+5 x)^3 \, dx &=\int \left (432+2160 x-936 x^2-22192 x^3-28917 x^4+58821 x^5+160643 x^6+41619 x^7-210330 x^8-240300 x^9-81000 x^{10}\right ) \, dx\\ &=432 x+1080 x^2-312 x^3-5548 x^4-\frac {28917 x^5}{5}+\frac {19607 x^6}{2}+22949 x^7+\frac {41619 x^8}{8}-23370 x^9-24030 x^{10}-\frac {81000 x^{11}}{11}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 62, normalized size = 1.00 \[ -\frac {81000 x^{11}}{11}-24030 x^{10}-23370 x^9+\frac {41619 x^8}{8}+22949 x^7+\frac {19607 x^6}{2}-\frac {28917 x^5}{5}-5548 x^4-312 x^3+1080 x^2+432 x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.43, size = 54, normalized size = 0.87 \[ -\frac {81000}{11} x^{11} - 24030 x^{10} - 23370 x^{9} + \frac {41619}{8} x^{8} + 22949 x^{7} + \frac {19607}{2} x^{6} - \frac {28917}{5} x^{5} - 5548 x^{4} - 312 x^{3} + 1080 x^{2} + 432 x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.89, size = 54, normalized size = 0.87 \[ -\frac {81000}{11} \, x^{11} - 24030 \, x^{10} - 23370 \, x^{9} + \frac {41619}{8} \, x^{8} + 22949 \, x^{7} + \frac {19607}{2} \, x^{6} - \frac {28917}{5} \, x^{5} - 5548 \, x^{4} - 312 \, x^{3} + 1080 \, x^{2} + 432 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 55, normalized size = 0.89 \[ -\frac {81000}{11} x^{11}-24030 x^{10}-23370 x^{9}+\frac {41619}{8} x^{8}+22949 x^{7}+\frac {19607}{2} x^{6}-\frac {28917}{5} x^{5}-5548 x^{4}-312 x^{3}+1080 x^{2}+432 x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.52, size = 54, normalized size = 0.87 \[ -\frac {81000}{11} \, x^{11} - 24030 \, x^{10} - 23370 \, x^{9} + \frac {41619}{8} \, x^{8} + 22949 \, x^{7} + \frac {19607}{2} \, x^{6} - \frac {28917}{5} \, x^{5} - 5548 \, x^{4} - 312 \, x^{3} + 1080 \, x^{2} + 432 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.06, size = 54, normalized size = 0.87 \[ -\frac {81000\,x^{11}}{11}-24030\,x^{10}-23370\,x^9+\frac {41619\,x^8}{8}+22949\,x^7+\frac {19607\,x^6}{2}-\frac {28917\,x^5}{5}-5548\,x^4-312\,x^3+1080\,x^2+432\,x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 60, normalized size = 0.97 \[ - \frac {81000 x^{11}}{11} - 24030 x^{10} - 23370 x^{9} + \frac {41619 x^{8}}{8} + 22949 x^{7} + \frac {19607 x^{6}}{2} - \frac {28917 x^{5}}{5} - 5548 x^{4} - 312 x^{3} + 1080 x^{2} + 432 x \]
Verification of antiderivative is not currently implemented for this CAS.
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