Optimal. Leaf size=46 \[ \frac{20 x^7}{7}-\frac{4 x^6}{3}+\frac{61 x^5}{5}+\frac{x^4}{4}+\frac{53 x^3}{3}+\frac{15 x^2}{2}+18 x \]
[Out]
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Rubi [A] time = 0.0470669, antiderivative size = 46, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 23, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.043 \[ \frac{20 x^7}{7}-\frac{4 x^6}{3}+\frac{61 x^5}{5}+\frac{x^4}{4}+\frac{53 x^3}{3}+\frac{15 x^2}{2}+18 x \]
Antiderivative was successfully verified.
[In] Int[(3 - x + 2*x^2)^2*(2 + 3*x + 5*x^2),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{20 x^{7}}{7} - \frac{4 x^{6}}{3} + \frac{61 x^{5}}{5} + \frac{x^{4}}{4} + \frac{53 x^{3}}{3} + 18 x + 15 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((2*x**2-x+3)**2*(5*x**2+3*x+2),x)
[Out]
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Mathematica [A] time = 0.00256626, size = 46, normalized size = 1. \[ \frac{20 x^7}{7}-\frac{4 x^6}{3}+\frac{61 x^5}{5}+\frac{x^4}{4}+\frac{53 x^3}{3}+\frac{15 x^2}{2}+18 x \]
Antiderivative was successfully verified.
[In] Integrate[(3 - x + 2*x^2)^2*(2 + 3*x + 5*x^2),x]
[Out]
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Maple [A] time = 0.001, size = 35, normalized size = 0.8 \[ 18\,x+{\frac{15\,{x}^{2}}{2}}+{\frac{53\,{x}^{3}}{3}}+{\frac{{x}^{4}}{4}}+{\frac{61\,{x}^{5}}{5}}-{\frac{4\,{x}^{6}}{3}}+{\frac{20\,{x}^{7}}{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((2*x^2-x+3)^2*(5*x^2+3*x+2),x)
[Out]
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Maxima [A] time = 0.699221, size = 46, normalized size = 1. \[ \frac{20}{7} \, x^{7} - \frac{4}{3} \, x^{6} + \frac{61}{5} \, x^{5} + \frac{1}{4} \, x^{4} + \frac{53}{3} \, x^{3} + \frac{15}{2} \, x^{2} + 18 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x^2 + 3*x + 2)*(2*x^2 - x + 3)^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.234106, size = 1, normalized size = 0.02 \[ \frac{20}{7} x^{7} - \frac{4}{3} x^{6} + \frac{61}{5} x^{5} + \frac{1}{4} x^{4} + \frac{53}{3} x^{3} + \frac{15}{2} x^{2} + 18 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x^2 + 3*x + 2)*(2*x^2 - x + 3)^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.054093, size = 41, normalized size = 0.89 \[ \frac{20 x^{7}}{7} - \frac{4 x^{6}}{3} + \frac{61 x^{5}}{5} + \frac{x^{4}}{4} + \frac{53 x^{3}}{3} + \frac{15 x^{2}}{2} + 18 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x**2-x+3)**2*(5*x**2+3*x+2),x)
[Out]
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GIAC/XCAS [A] time = 0.263107, size = 46, normalized size = 1. \[ \frac{20}{7} \, x^{7} - \frac{4}{3} \, x^{6} + \frac{61}{5} \, x^{5} + \frac{1}{4} \, x^{4} + \frac{53}{3} \, x^{3} + \frac{15}{2} \, x^{2} + 18 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x^2 + 3*x + 2)*(2*x^2 - x + 3)^2,x, algorithm="giac")
[Out]