Optimal. Leaf size=55 \[ \frac{243 x^5}{4}+\frac{2997 x^4}{8}+\frac{18027 x^3}{16}+\frac{75447 x^2}{32}+\frac{301467 x}{64}+\frac{184877}{128 (1-2 x)}+\frac{60025}{16} \log (1-2 x) \]
[Out]
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Rubi [A] time = 0.0670924, antiderivative size = 55, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.05 \[ \frac{243 x^5}{4}+\frac{2997 x^4}{8}+\frac{18027 x^3}{16}+\frac{75447 x^2}{32}+\frac{301467 x}{64}+\frac{184877}{128 (1-2 x)}+\frac{60025}{16} \log (1-2 x) \]
Antiderivative was successfully verified.
[In] Int[((2 + 3*x)^5*(3 + 5*x))/(1 - 2*x)^2,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{243 x^{5}}{4} + \frac{2997 x^{4}}{8} + \frac{18027 x^{3}}{16} + \frac{60025 \log{\left (- 2 x + 1 \right )}}{16} + \int \frac{301467}{64}\, dx + \frac{75447 \int x\, dx}{16} + \frac{184877}{128 \left (- 2 x + 1\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((2+3*x)**5*(3+5*x)/(1-2*x)**2,x)
[Out]
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Mathematica [A] time = 0.0212456, size = 51, normalized size = 0.93 \[ \frac{1944 x^6+11016 x^5+30060 x^4+57420 x^3+113010 x^2-174912 x+60025 (2 x-1) \log (1-2 x)+26663}{32 x-16} \]
Antiderivative was successfully verified.
[In] Integrate[((2 + 3*x)^5*(3 + 5*x))/(1 - 2*x)^2,x]
[Out]
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Maple [A] time = 0.009, size = 42, normalized size = 0.8 \[{\frac{243\,{x}^{5}}{4}}+{\frac{2997\,{x}^{4}}{8}}+{\frac{18027\,{x}^{3}}{16}}+{\frac{75447\,{x}^{2}}{32}}+{\frac{301467\,x}{64}}-{\frac{184877}{-128+256\,x}}+{\frac{60025\,\ln \left ( -1+2\,x \right ) }{16}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((2+3*x)^5*(3+5*x)/(1-2*x)^2,x)
[Out]
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Maxima [A] time = 1.34234, size = 55, normalized size = 1. \[ \frac{243}{4} \, x^{5} + \frac{2997}{8} \, x^{4} + \frac{18027}{16} \, x^{3} + \frac{75447}{32} \, x^{2} + \frac{301467}{64} \, x - \frac{184877}{128 \,{\left (2 \, x - 1\right )}} + \frac{60025}{16} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)*(3*x + 2)^5/(2*x - 1)^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.213424, size = 70, normalized size = 1.27 \[ \frac{15552 \, x^{6} + 88128 \, x^{5} + 240480 \, x^{4} + 459360 \, x^{3} + 904080 \, x^{2} + 480200 \,{\left (2 \, x - 1\right )} \log \left (2 \, x - 1\right ) - 602934 \, x - 184877}{128 \,{\left (2 \, x - 1\right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)*(3*x + 2)^5/(2*x - 1)^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.228633, size = 48, normalized size = 0.87 \[ \frac{243 x^{5}}{4} + \frac{2997 x^{4}}{8} + \frac{18027 x^{3}}{16} + \frac{75447 x^{2}}{32} + \frac{301467 x}{64} + \frac{60025 \log{\left (2 x - 1 \right )}}{16} - \frac{184877}{256 x - 128} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2+3*x)**5*(3+5*x)/(1-2*x)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.207105, size = 101, normalized size = 1.84 \[ \frac{3}{128} \,{\left (2 \, x - 1\right )}^{5}{\left (\frac{1404}{2 \, x - 1} + \frac{10815}{{\left (2 \, x - 1\right )}^{2}} + \frac{49980}{{\left (2 \, x - 1\right )}^{3}} + \frac{173215}{{\left (2 \, x - 1\right )}^{4}} + 81\right )} - \frac{184877}{128 \,{\left (2 \, x - 1\right )}} - \frac{60025}{16} \,{\rm ln}\left (\frac{{\left | 2 \, x - 1 \right |}}{2 \,{\left (2 \, x - 1\right )}^{2}}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)*(3*x + 2)^5/(2*x - 1)^2,x, algorithm="giac")
[Out]