Optimal. Leaf size=45 \[ \frac{25}{32} (1-2 x)^6-\frac{101}{16} (1-2 x)^5+\frac{1133}{64} (1-2 x)^4-\frac{847}{48} (1-2 x)^3 \]
[Out]
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Rubi [A] time = 0.0599488, 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 \[ \frac{25}{32} (1-2 x)^6-\frac{101}{16} (1-2 x)^5+\frac{1133}{64} (1-2 x)^4-\frac{847}{48} (1-2 x)^3 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^2*(2 + 3*x)*(3 + 5*x)^2,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ 50 x^{6} + 52 x^{5} - \frac{137 x^{4}}{4} - \frac{136 x^{3}}{3} + 18 x + 15 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**2*(2+3*x)*(3+5*x)**2,x)
[Out]
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Mathematica [A] time = 0.00140921, size = 35, normalized size = 0.78 \[ 50 x^6+52 x^5-\frac{137 x^4}{4}-\frac{136 x^3}{3}+\frac{15 x^2}{2}+18 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^2*(2 + 3*x)*(3 + 5*x)^2,x]
[Out]
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Maple [A] time = 0.002, size = 30, normalized size = 0.7 \[ 50\,{x}^{6}+52\,{x}^{5}-{\frac{137\,{x}^{4}}{4}}-{\frac{136\,{x}^{3}}{3}}+{\frac{15\,{x}^{2}}{2}}+18\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^2*(2+3*x)*(3+5*x)^2,x)
[Out]
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Maxima [A] time = 1.34131, size = 39, normalized size = 0.87 \[ 50 \, x^{6} + 52 \, x^{5} - \frac{137}{4} \, x^{4} - \frac{136}{3} \, x^{3} + \frac{15}{2} \, x^{2} + 18 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^2*(3*x + 2)*(2*x - 1)^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.18583, size = 1, normalized size = 0.02 \[ 50 x^{6} + 52 x^{5} - \frac{137}{4} x^{4} - \frac{136}{3} x^{3} + \frac{15}{2} x^{2} + 18 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^2*(3*x + 2)*(2*x - 1)^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.079979, size = 32, normalized size = 0.71 \[ 50 x^{6} + 52 x^{5} - \frac{137 x^{4}}{4} - \frac{136 x^{3}}{3} + \frac{15 x^{2}}{2} + 18 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**2*(2+3*x)*(3+5*x)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.211987, size = 39, normalized size = 0.87 \[ 50 \, x^{6} + 52 \, x^{5} - \frac{137}{4} \, x^{4} - \frac{136}{3} \, x^{3} + \frac{15}{2} \, x^{2} + 18 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^2*(3*x + 2)*(2*x - 1)^2,x, algorithm="giac")
[Out]