Optimal. Leaf size=37 \[ \frac{9 x^4}{5}-\frac{16 x^3}{25}-\frac{431 x^2}{250}+\frac{793 x}{625}+\frac{121 \log (5 x+3)}{3125} \]
[Out]
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Rubi [A] time = 0.0423977, antiderivative size = 37, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 22, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.045 \[ \frac{9 x^4}{5}-\frac{16 x^3}{25}-\frac{431 x^2}{250}+\frac{793 x}{625}+\frac{121 \log (5 x+3)}{3125} \]
Antiderivative was successfully verified.
[In] Int[((1 - 2*x)^2*(2 + 3*x)^2)/(3 + 5*x),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{9 x^{4}}{5} - \frac{16 x^{3}}{25} + \frac{121 \log{\left (5 x + 3 \right )}}{3125} + \int \frac{793}{625}\, dx - \frac{431 \int x\, dx}{125} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**2*(2+3*x)**2/(3+5*x),x)
[Out]
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Mathematica [A] time = 0.0176346, size = 35, normalized size = 0.95 \[ \frac{5 \left (2250 x^4-800 x^3-2155 x^2+1586 x+1263\right )+242 \log (5 x+3)}{6250} \]
Antiderivative was successfully verified.
[In] Integrate[((1 - 2*x)^2*(2 + 3*x)^2)/(3 + 5*x),x]
[Out]
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Maple [A] time = 0.003, size = 28, normalized size = 0.8 \[{\frac{793\,x}{625}}-{\frac{431\,{x}^{2}}{250}}-{\frac{16\,{x}^{3}}{25}}+{\frac{9\,{x}^{4}}{5}}+{\frac{121\,\ln \left ( 3+5\,x \right ) }{3125}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^2*(2+3*x)^2/(3+5*x),x)
[Out]
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Maxima [A] time = 1.34357, size = 36, normalized size = 0.97 \[ \frac{9}{5} \, x^{4} - \frac{16}{25} \, x^{3} - \frac{431}{250} \, x^{2} + \frac{793}{625} \, x + \frac{121}{3125} \, \log \left (5 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((3*x + 2)^2*(2*x - 1)^2/(5*x + 3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.210641, size = 36, normalized size = 0.97 \[ \frac{9}{5} \, x^{4} - \frac{16}{25} \, x^{3} - \frac{431}{250} \, x^{2} + \frac{793}{625} \, x + \frac{121}{3125} \, \log \left (5 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((3*x + 2)^2*(2*x - 1)^2/(5*x + 3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.160911, size = 34, normalized size = 0.92 \[ \frac{9 x^{4}}{5} - \frac{16 x^{3}}{25} - \frac{431 x^{2}}{250} + \frac{793 x}{625} + \frac{121 \log{\left (5 x + 3 \right )}}{3125} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**2*(2+3*x)**2/(3+5*x),x)
[Out]
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GIAC/XCAS [A] time = 0.207374, size = 38, normalized size = 1.03 \[ \frac{9}{5} \, x^{4} - \frac{16}{25} \, x^{3} - \frac{431}{250} \, x^{2} + \frac{793}{625} \, x + \frac{121}{3125} \,{\rm ln}\left ({\left | 5 \, x + 3 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((3*x + 2)^2*(2*x - 1)^2/(5*x + 3),x, algorithm="giac")
[Out]