Optimal. Leaf size=45 \[ -\frac{25}{243} (3 x+2)^6+\frac{13}{27} (3 x+2)^5-\frac{2}{9} (3 x+2)^4+\frac{7}{243} (3 x+2)^3 \]
[Out]
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Rubi [A] time = 0.0629512, antiderivative size = 45, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.05 \[ -\frac{25}{243} (3 x+2)^6+\frac{13}{27} (3 x+2)^5-\frac{2}{9} (3 x+2)^4+\frac{7}{243} (3 x+2)^3 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)^2,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - 75 x^{6} - 183 x^{5} - 128 x^{4} + \frac{85 x^{3}}{3} + 36 x + 156 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)*(2+3*x)**2*(3+5*x)**2,x)
[Out]
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Mathematica [A] time = 0.00171575, size = 31, normalized size = 0.69 \[ -75 x^6-183 x^5-128 x^4+\frac{85 x^3}{3}+78 x^2+36 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)^2,x]
[Out]
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Maple [A] time = 0.003, size = 30, normalized size = 0.7 \[ -75\,{x}^{6}-183\,{x}^{5}-128\,{x}^{4}+{\frac{85\,{x}^{3}}{3}}+78\,{x}^{2}+36\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)*(2+3*x)^2*(3+5*x)^2,x)
[Out]
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Maxima [A] time = 1.34303, size = 39, normalized size = 0.87 \[ -75 \, x^{6} - 183 \, x^{5} - 128 \, x^{4} + \frac{85}{3} \, x^{3} + 78 \, x^{2} + 36 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^2*(2*x - 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.187212, size = 1, normalized size = 0.02 \[ -75 x^{6} - 183 x^{5} - 128 x^{4} + \frac{85}{3} x^{3} + 78 x^{2} + 36 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^2*(2*x - 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.080129, size = 29, normalized size = 0.64 \[ - 75 x^{6} - 183 x^{5} - 128 x^{4} + \frac{85 x^{3}}{3} + 78 x^{2} + 36 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)*(2+3*x)**2*(3+5*x)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.205801, size = 39, normalized size = 0.87 \[ -75 \, x^{6} - 183 \, x^{5} - 128 \, x^{4} + \frac{85}{3} \, x^{3} + 78 \, x^{2} + 36 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^2*(2*x - 1),x, algorithm="giac")
[Out]