Optimal. Leaf size=42 \[ \frac {540 x^7}{7}+144 x^6+\frac {99 x^5}{5}-\frac {425 x^4}{4}-\frac {154 x^3}{3}+26 x^2+24 x \]
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Rubi [A] time = 0.02, antiderivative size = 42, 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} \[ \frac {540 x^7}{7}+144 x^6+\frac {99 x^5}{5}-\frac {425 x^4}{4}-\frac {154 x^3}{3}+26 x^2+24 x \]
Antiderivative was successfully verified.
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Rule 77
Rubi steps
\begin {align*} \int (1-2 x)^2 (2+3 x)^3 (3+5 x) \, dx &=\int \left (24+52 x-154 x^2-425 x^3+99 x^4+864 x^5+540 x^6\right ) \, dx\\ &=24 x+26 x^2-\frac {154 x^3}{3}-\frac {425 x^4}{4}+\frac {99 x^5}{5}+144 x^6+\frac {540 x^7}{7}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 42, normalized size = 1.00 \[ \frac {540 x^7}{7}+144 x^6+\frac {99 x^5}{5}-\frac {425 x^4}{4}-\frac {154 x^3}{3}+26 x^2+24 x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.56, size = 34, normalized size = 0.81 \[ \frac {540}{7} x^{7} + 144 x^{6} + \frac {99}{5} x^{5} - \frac {425}{4} x^{4} - \frac {154}{3} x^{3} + 26 x^{2} + 24 x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.16, size = 34, normalized size = 0.81 \[ \frac {540}{7} \, x^{7} + 144 \, x^{6} + \frac {99}{5} \, x^{5} - \frac {425}{4} \, x^{4} - \frac {154}{3} \, x^{3} + 26 \, x^{2} + 24 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 35, normalized size = 0.83 \[ \frac {540}{7} x^{7}+144 x^{6}+\frac {99}{5} x^{5}-\frac {425}{4} x^{4}-\frac {154}{3} x^{3}+26 x^{2}+24 x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.64, size = 34, normalized size = 0.81 \[ \frac {540}{7} \, x^{7} + 144 \, x^{6} + \frac {99}{5} \, x^{5} - \frac {425}{4} \, x^{4} - \frac {154}{3} \, x^{3} + 26 \, x^{2} + 24 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 34, normalized size = 0.81 \[ \frac {540\,x^7}{7}+144\,x^6+\frac {99\,x^5}{5}-\frac {425\,x^4}{4}-\frac {154\,x^3}{3}+26\,x^2+24\,x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 39, normalized size = 0.93 \[ \frac {540 x^{7}}{7} + 144 x^{6} + \frac {99 x^{5}}{5} - \frac {425 x^{4}}{4} - \frac {154 x^{3}}{3} + 26 x^{2} + 24 x \]
Verification of antiderivative is not currently implemented for this CAS.
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