Optimal. Leaf size=23 \[ -\frac {25 x^4}{2}-\frac {35 x^3}{3}+6 x^2+9 x \]
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Rubi [A] time = 0.01, antiderivative size = 23, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {43} \[ -\frac {25 x^4}{2}-\frac {35 x^3}{3}+6 x^2+9 x \]
Antiderivative was successfully verified.
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Rule 43
Rubi steps
\begin {align*} \int (1-2 x) (3+5 x)^2 \, dx &=\int \left (9+12 x-35 x^2-50 x^3\right ) \, dx\\ &=9 x+6 x^2-\frac {35 x^3}{3}-\frac {25 x^4}{2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 23, normalized size = 1.00 \[ -\frac {25 x^4}{2}-\frac {35 x^3}{3}+6 x^2+9 x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.57, size = 19, normalized size = 0.83 \[ -\frac {25}{2} x^{4} - \frac {35}{3} x^{3} + 6 x^{2} + 9 x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.15, size = 19, normalized size = 0.83 \[ -\frac {25}{2} \, x^{4} - \frac {35}{3} \, x^{3} + 6 \, x^{2} + 9 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 20, normalized size = 0.87 \[ -\frac {25}{2} x^{4}-\frac {35}{3} x^{3}+6 x^{2}+9 x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.49, size = 19, normalized size = 0.83 \[ -\frac {25}{2} \, x^{4} - \frac {35}{3} \, x^{3} + 6 \, x^{2} + 9 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 19, normalized size = 0.83 \[ -\frac {25\,x^4}{2}-\frac {35\,x^3}{3}+6\,x^2+9\,x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 20, normalized size = 0.87 \[ - \frac {25 x^{4}}{2} - \frac {35 x^{3}}{3} + 6 x^{2} + 9 x \]
Verification of antiderivative is not currently implemented for this CAS.
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