Optimal. Leaf size=26 \[ -\frac{9 x}{10}-\frac{49}{44} \log (1-2 x)+\frac{1}{275} \log (5 x+3) \]
[Out]
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Rubi [A] time = 0.039115, antiderivative size = 26, 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 \[ -\frac{9 x}{10}-\frac{49}{44} \log (1-2 x)+\frac{1}{275} \log (5 x+3) \]
Antiderivative was successfully verified.
[In] Int[(2 + 3*x)^2/((1 - 2*x)*(3 + 5*x)),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{49 \log{\left (- 2 x + 1 \right )}}{44} + \frac{\log{\left (5 x + 3 \right )}}{275} + \int \left (- \frac{9}{10}\right )\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((2+3*x)**2/(1-2*x)/(3+5*x),x)
[Out]
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Mathematica [A] time = 0.0191167, size = 31, normalized size = 1.19 \[ -\frac{9 x}{10}-\frac{49}{44} \log (3-6 x)+\frac{1}{275} \log (-3 (5 x+3))-\frac{3}{5} \]
Antiderivative was successfully verified.
[In] Integrate[(2 + 3*x)^2/((1 - 2*x)*(3 + 5*x)),x]
[Out]
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Maple [A] time = 0.009, size = 21, normalized size = 0.8 \[ -{\frac{9\,x}{10}}+{\frac{\ln \left ( 3+5\,x \right ) }{275}}-{\frac{49\,\ln \left ( -1+2\,x \right ) }{44}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((2+3*x)^2/(1-2*x)/(3+5*x),x)
[Out]
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Maxima [A] time = 1.35001, size = 27, normalized size = 1.04 \[ -\frac{9}{10} \, x + \frac{1}{275} \, \log \left (5 \, x + 3\right ) - \frac{49}{44} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(3*x + 2)^2/((5*x + 3)*(2*x - 1)),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.210937, size = 27, normalized size = 1.04 \[ -\frac{9}{10} \, x + \frac{1}{275} \, \log \left (5 \, x + 3\right ) - \frac{49}{44} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(3*x + 2)^2/((5*x + 3)*(2*x - 1)),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.274041, size = 22, normalized size = 0.85 \[ - \frac{9 x}{10} - \frac{49 \log{\left (x - \frac{1}{2} \right )}}{44} + \frac{\log{\left (x + \frac{3}{5} \right )}}{275} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2+3*x)**2/(1-2*x)/(3+5*x),x)
[Out]
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GIAC/XCAS [A] time = 0.207343, size = 30, normalized size = 1.15 \[ -\frac{9}{10} \, x + \frac{1}{275} \,{\rm ln}\left ({\left | 5 \, x + 3 \right |}\right ) - \frac{49}{44} \,{\rm ln}\left ({\left | 2 \, x - 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(3*x + 2)^2/((5*x + 3)*(2*x - 1)),x, algorithm="giac")
[Out]