Optimal. Leaf size=26 \[ \frac{4 x}{15}-\frac{49}{9} \log (3 x+2)+\frac{121}{25} \log (5 x+3) \]
[Out]
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Rubi [A] time = 0.0379807, 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 \[ \frac{4 x}{15}-\frac{49}{9} \log (3 x+2)+\frac{121}{25} \log (5 x+3) \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^2/((2 + 3*x)*(3 + 5*x)),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{49 \log{\left (3 x + 2 \right )}}{9} + \frac{121 \log{\left (5 x + 3 \right )}}{25} + \int \frac{4}{15}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**2/(2+3*x)/(3+5*x),x)
[Out]
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Mathematica [A] time = 0.016283, size = 27, normalized size = 1.04 \[ \frac{1}{225} (60 x-1225 \log (3 x+2)+1089 \log (-3 (5 x+3))+40) \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^2/((2 + 3*x)*(3 + 5*x)),x]
[Out]
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Maple [A] time = 0.009, size = 21, normalized size = 0.8 \[{\frac{4\,x}{15}}-{\frac{49\,\ln \left ( 2+3\,x \right ) }{9}}+{\frac{121\,\ln \left ( 3+5\,x \right ) }{25}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^2/(2+3*x)/(3+5*x),x)
[Out]
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Maxima [A] time = 1.34716, size = 27, normalized size = 1.04 \[ \frac{4}{15} \, x + \frac{121}{25} \, \log \left (5 \, x + 3\right ) - \frac{49}{9} \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)^2/((5*x + 3)*(3*x + 2)),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.20753, size = 27, normalized size = 1.04 \[ \frac{4}{15} \, x + \frac{121}{25} \, \log \left (5 \, x + 3\right ) - \frac{49}{9} \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)^2/((5*x + 3)*(3*x + 2)),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.24982, size = 24, normalized size = 0.92 \[ \frac{4 x}{15} + \frac{121 \log{\left (x + \frac{3}{5} \right )}}{25} - \frac{49 \log{\left (x + \frac{2}{3} \right )}}{9} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**2/(2+3*x)/(3+5*x),x)
[Out]
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GIAC/XCAS [A] time = 0.209862, size = 30, normalized size = 1.15 \[ \frac{4}{15} \, x + \frac{121}{25} \,{\rm ln}\left ({\left | 5 \, x + 3 \right |}\right ) - \frac{49}{9} \,{\rm ln}\left ({\left | 3 \, x + 2 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)^2/((5*x + 3)*(3*x + 2)),x, algorithm="giac")
[Out]