Optimal. Leaf size=33 \[ -\frac{4 x^2}{15}+\frac{332 x}{225}-\frac{343}{27} \log (3 x+2)+\frac{1331}{125} \log (5 x+3) \]
[Out]
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Rubi [A] time = 0.0429702, antiderivative size = 33, 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 \[ -\frac{4 x^2}{15}+\frac{332 x}{225}-\frac{343}{27} \log (3 x+2)+\frac{1331}{125} \log (5 x+3) \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^3/((2 + 3*x)*(3 + 5*x)),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{343 \log{\left (3 x + 2 \right )}}{27} + \frac{1331 \log{\left (5 x + 3 \right )}}{125} + \int \frac{332}{225}\, dx - \frac{8 \int x\, dx}{15} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**3/(2+3*x)/(3+5*x),x)
[Out]
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Mathematica [A] time = 0.0220859, size = 35, normalized size = 1.06 \[ \frac{60 \left (-15 x^2+83 x+62\right )-42875 \log (3 x+2)+35937 \log (-3 (5 x+3))}{3375} \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^3/((2 + 3*x)*(3 + 5*x)),x]
[Out]
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Maple [A] time = 0.008, size = 26, normalized size = 0.8 \[{\frac{332\,x}{225}}-{\frac{4\,{x}^{2}}{15}}-{\frac{343\,\ln \left ( 2+3\,x \right ) }{27}}+{\frac{1331\,\ln \left ( 3+5\,x \right ) }{125}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^3/(2+3*x)/(3+5*x),x)
[Out]
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Maxima [A] time = 1.34454, size = 34, normalized size = 1.03 \[ -\frac{4}{15} \, x^{2} + \frac{332}{225} \, x + \frac{1331}{125} \, \log \left (5 \, x + 3\right ) - \frac{343}{27} \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)^3/((5*x + 3)*(3*x + 2)),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.208974, size = 34, normalized size = 1.03 \[ -\frac{4}{15} \, x^{2} + \frac{332}{225} \, x + \frac{1331}{125} \, \log \left (5 \, x + 3\right ) - \frac{343}{27} \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)^3/((5*x + 3)*(3*x + 2)),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.269938, size = 31, normalized size = 0.94 \[ - \frac{4 x^{2}}{15} + \frac{332 x}{225} + \frac{1331 \log{\left (x + \frac{3}{5} \right )}}{125} - \frac{343 \log{\left (x + \frac{2}{3} \right )}}{27} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**3/(2+3*x)/(3+5*x),x)
[Out]
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GIAC/XCAS [A] time = 0.212261, size = 36, normalized size = 1.09 \[ -\frac{4}{15} \, x^{2} + \frac{332}{225} \, x + \frac{1331}{125} \,{\rm ln}\left ({\left | 5 \, x + 3 \right |}\right ) - \frac{343}{27} \,{\rm ln}\left ({\left | 3 \, x + 2 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)^3/((5*x + 3)*(3*x + 2)),x, algorithm="giac")
[Out]