Optimal. Leaf size=34 \[ -\frac{5}{16} (1-2 x)^6+\frac{17}{10} (1-2 x)^5-\frac{77}{32} (1-2 x)^4 \]
[Out]
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Rubi [A] time = 0.0469735, antiderivative size = 34, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 18, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.056 \[ -\frac{5}{16} (1-2 x)^6+\frac{17}{10} (1-2 x)^5-\frac{77}{32} (1-2 x)^4 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^3*(2 + 3*x)*(3 + 5*x),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - 20 x^{6} + \frac{28 x^{5}}{5} + \frac{45 x^{4}}{2} - 9 x^{3} + 6 x - 17 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**3*(2+3*x)*(3+5*x),x)
[Out]
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Mathematica [A] time = 0.00128505, size = 35, normalized size = 1.03 \[ -20 x^6+\frac{28 x^5}{5}+\frac{45 x^4}{2}-9 x^3-\frac{17 x^2}{2}+6 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^3*(2 + 3*x)*(3 + 5*x),x]
[Out]
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Maple [A] time = 0., size = 30, normalized size = 0.9 \[ -20\,{x}^{6}+{\frac{28\,{x}^{5}}{5}}+{\frac{45\,{x}^{4}}{2}}-9\,{x}^{3}-{\frac{17\,{x}^{2}}{2}}+6\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^3*(2+3*x)*(3+5*x),x)
[Out]
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Maxima [A] time = 1.3485, size = 39, normalized size = 1.15 \[ -20 \, x^{6} + \frac{28}{5} \, x^{5} + \frac{45}{2} \, x^{4} - 9 \, x^{3} - \frac{17}{2} \, x^{2} + 6 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)*(2*x - 1)^3,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.186382, size = 1, normalized size = 0.03 \[ -20 x^{6} + \frac{28}{5} x^{5} + \frac{45}{2} x^{4} - 9 x^{3} - \frac{17}{2} x^{2} + 6 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)*(2*x - 1)^3,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.078336, size = 32, normalized size = 0.94 \[ - 20 x^{6} + \frac{28 x^{5}}{5} + \frac{45 x^{4}}{2} - 9 x^{3} - \frac{17 x^{2}}{2} + 6 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**3*(2+3*x)*(3+5*x),x)
[Out]
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GIAC/XCAS [A] time = 0.208441, size = 39, normalized size = 1.15 \[ -20 \, x^{6} + \frac{28}{5} \, x^{5} + \frac{45}{2} \, x^{4} - 9 \, x^{3} - \frac{17}{2} \, x^{2} + 6 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)*(2*x - 1)^3,x, algorithm="giac")
[Out]