Optimal. Leaf size=30 \[ -\frac{125 x^3}{6}-\frac{575 x^2}{8}-\frac{1115 x}{8}-\frac{1331}{16} \log (1-2 x) \]
[Out]
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Rubi [A] time = 0.0277851, antiderivative size = 30, 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 \[ -\frac{125 x^3}{6}-\frac{575 x^2}{8}-\frac{1115 x}{8}-\frac{1331}{16} \log (1-2 x) \]
Antiderivative was successfully verified.
[In] Int[(3 + 5*x)^3/(1 - 2*x),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{125 x^{3}}{6} - \frac{1331 \log{\left (- 2 x + 1 \right )}}{16} + \int \left (- \frac{1115}{8}\right )\, dx - \frac{575 \int x\, dx}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((3+5*x)**3/(1-2*x),x)
[Out]
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Mathematica [A] time = 0.0117379, size = 30, normalized size = 1. \[ \frac{1}{96} \left (-5 \left (400 x^3+1380 x^2+2676 x-1733\right )-7986 \log (1-2 x)\right ) \]
Antiderivative was successfully verified.
[In] Integrate[(3 + 5*x)^3/(1 - 2*x),x]
[Out]
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Maple [A] time = 0.003, size = 23, normalized size = 0.8 \[ -{\frac{125\,{x}^{3}}{6}}-{\frac{575\,{x}^{2}}{8}}-{\frac{1115\,x}{8}}-{\frac{1331\,\ln \left ( -1+2\,x \right ) }{16}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((3+5*x)^3/(1-2*x),x)
[Out]
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Maxima [A] time = 1.33837, size = 30, normalized size = 1. \[ -\frac{125}{6} \, x^{3} - \frac{575}{8} \, x^{2} - \frac{1115}{8} \, x - \frac{1331}{16} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3/(2*x - 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.211171, size = 30, normalized size = 1. \[ -\frac{125}{6} \, x^{3} - \frac{575}{8} \, x^{2} - \frac{1115}{8} \, x - \frac{1331}{16} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3/(2*x - 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.151274, size = 29, normalized size = 0.97 \[ - \frac{125 x^{3}}{6} - \frac{575 x^{2}}{8} - \frac{1115 x}{8} - \frac{1331 \log{\left (2 x - 1 \right )}}{16} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((3+5*x)**3/(1-2*x),x)
[Out]
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GIAC/XCAS [A] time = 0.21021, size = 31, normalized size = 1.03 \[ -\frac{125}{6} \, x^{3} - \frac{575}{8} \, x^{2} - \frac{1115}{8} \, x - \frac{1331}{16} \,{\rm ln}\left ({\left | 2 \, x - 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3/(2*x - 1),x, algorithm="giac")
[Out]