Optimal. Leaf size=34 \[ \frac{2}{375} (5 x+3)^6-\frac{44}{625} (5 x+3)^5+\frac{121}{500} (5 x+3)^4 \]
[Out]
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Rubi [A] time = 0.0368185, antiderivative size = 34, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.067 \[ \frac{2}{375} (5 x+3)^6-\frac{44}{625} (5 x+3)^5+\frac{121}{500} (5 x+3)^4 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^2*(3 + 5*x)^3,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{250 x^{6}}{3} + 80 x^{5} - \frac{235 x^{4}}{4} - 69 x^{3} + 27 x + 27 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**2*(3+5*x)**3,x)
[Out]
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Mathematica [A] time = 0.00132313, size = 35, normalized size = 1.03 \[ \frac{250 x^6}{3}+80 x^5-\frac{235 x^4}{4}-69 x^3+\frac{27 x^2}{2}+27 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^2*(3 + 5*x)^3,x]
[Out]
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Maple [A] time = 0.003, size = 30, normalized size = 0.9 \[{\frac{250\,{x}^{6}}{3}}+80\,{x}^{5}-{\frac{235\,{x}^{4}}{4}}-69\,{x}^{3}+{\frac{27\,{x}^{2}}{2}}+27\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^2*(3+5*x)^3,x)
[Out]
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Maxima [A] time = 1.33278, size = 39, normalized size = 1.15 \[ \frac{250}{3} \, x^{6} + 80 \, x^{5} - \frac{235}{4} \, x^{4} - 69 \, x^{3} + \frac{27}{2} \, x^{2} + 27 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^3*(2*x - 1)^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.187849, size = 1, normalized size = 0.03 \[ \frac{250}{3} x^{6} + 80 x^{5} - \frac{235}{4} x^{4} - 69 x^{3} + \frac{27}{2} x^{2} + 27 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^3*(2*x - 1)^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.084692, size = 32, normalized size = 0.94 \[ \frac{250 x^{6}}{3} + 80 x^{5} - \frac{235 x^{4}}{4} - 69 x^{3} + \frac{27 x^{2}}{2} + 27 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**2*(3+5*x)**3,x)
[Out]
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GIAC/XCAS [A] time = 0.224801, size = 39, normalized size = 1.15 \[ \frac{250}{3} \, x^{6} + 80 \, x^{5} - \frac{235}{4} \, x^{4} - 69 \, x^{3} + \frac{27}{2} \, x^{2} + 27 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^3*(2*x - 1)^2,x, algorithm="giac")
[Out]