Optimal. Leaf size=47 \[ -375 x^8-\frac {2900 x^7}{7}+335 x^6+\frac {2277 x^5}{5}-\frac {425 x^4}{4}-201 x^3+\frac {27 x^2}{2}+54 x \]
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Rubi [A] time = 0.02, antiderivative size = 47, 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} \begin {gather*} -375 x^8-\frac {2900 x^7}{7}+335 x^6+\frac {2277 x^5}{5}-\frac {425 x^4}{4}-201 x^3+\frac {27 x^2}{2}+54 x \end {gather*}
Antiderivative was successfully verified.
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Rule 77
Rubi steps
\begin {align*} \int (1-2 x)^3 (2+3 x) (3+5 x)^3 \, dx &=\int \left (54+27 x-603 x^2-425 x^3+2277 x^4+2010 x^5-2900 x^6-3000 x^7\right ) \, dx\\ &=54 x+\frac {27 x^2}{2}-201 x^3-\frac {425 x^4}{4}+\frac {2277 x^5}{5}+335 x^6-\frac {2900 x^7}{7}-375 x^8\\ \end {align*}
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Mathematica [A] time = 0.00, size = 47, normalized size = 1.00 \begin {gather*} -375 x^8-\frac {2900 x^7}{7}+335 x^6+\frac {2277 x^5}{5}-\frac {425 x^4}{4}-201 x^3+\frac {27 x^2}{2}+54 x \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int (1-2 x)^3 (2+3 x) (3+5 x)^3 \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 1.13, size = 39, normalized size = 0.83 \begin {gather*} -375 x^{8} - \frac {2900}{7} x^{7} + 335 x^{6} + \frac {2277}{5} x^{5} - \frac {425}{4} x^{4} - 201 x^{3} + \frac {27}{2} x^{2} + 54 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.81, size = 39, normalized size = 0.83 \begin {gather*} -375 \, x^{8} - \frac {2900}{7} \, x^{7} + 335 \, x^{6} + \frac {2277}{5} \, x^{5} - \frac {425}{4} \, x^{4} - 201 \, x^{3} + \frac {27}{2} \, x^{2} + 54 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 40, normalized size = 0.85 \begin {gather*} -375 x^{8}-\frac {2900}{7} x^{7}+335 x^{6}+\frac {2277}{5} x^{5}-\frac {425}{4} x^{4}-201 x^{3}+\frac {27}{2} x^{2}+54 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.46, size = 39, normalized size = 0.83 \begin {gather*} -375 \, x^{8} - \frac {2900}{7} \, x^{7} + 335 \, x^{6} + \frac {2277}{5} \, x^{5} - \frac {425}{4} \, x^{4} - 201 \, x^{3} + \frac {27}{2} \, x^{2} + 54 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 39, normalized size = 0.83 \begin {gather*} -375\,x^8-\frac {2900\,x^7}{7}+335\,x^6+\frac {2277\,x^5}{5}-\frac {425\,x^4}{4}-201\,x^3+\frac {27\,x^2}{2}+54\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 44, normalized size = 0.94 \begin {gather*} - 375 x^{8} - \frac {2900 x^{7}}{7} + 335 x^{6} + \frac {2277 x^{5}}{5} - \frac {425 x^{4}}{4} - 201 x^{3} + \frac {27 x^{2}}{2} + 54 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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