Optimal. Leaf size=58 \[ -\frac{10125 x^7}{14}-\frac{33525 x^6}{8}-\frac{89343 x^5}{8}-\frac{1182291 x^4}{64}-\frac{2119763 x^3}{96}-\frac{2836307 x^2}{128}-\frac{3140435 x}{128}-\frac{3195731}{256} \log (1-2 x) \]
[Out]
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Rubi [A] time = 0.0605625, antiderivative size = 58, 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 \[ -\frac{10125 x^7}{14}-\frac{33525 x^6}{8}-\frac{89343 x^5}{8}-\frac{1182291 x^4}{64}-\frac{2119763 x^3}{96}-\frac{2836307 x^2}{128}-\frac{3140435 x}{128}-\frac{3195731}{256} \log (1-2 x) \]
Antiderivative was successfully verified.
[In] Int[((2 + 3*x)^4*(3 + 5*x)^3)/(1 - 2*x),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{10125 x^{7}}{14} - \frac{33525 x^{6}}{8} - \frac{89343 x^{5}}{8} - \frac{1182291 x^{4}}{64} - \frac{2119763 x^{3}}{96} - \frac{3195731 \log{\left (- 2 x + 1 \right )}}{256} + \int \left (- \frac{3140435}{128}\right )\, dx - \frac{2836307 \int x\, dx}{64} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((2+3*x)**4*(3+5*x)**3/(1-2*x),x)
[Out]
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Mathematica [A] time = 0.0198261, size = 47, normalized size = 0.81 \[ \frac{-15552000 x^7-90115200 x^6-240153984 x^5-397249776 x^4-474826912 x^3-476499576 x^2-527593080 x-268441404 \log (1-2 x)+476137271}{21504} \]
Antiderivative was successfully verified.
[In] Integrate[((2 + 3*x)^4*(3 + 5*x)^3)/(1 - 2*x),x]
[Out]
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Maple [A] time = 0.005, size = 43, normalized size = 0.7 \[ -{\frac{10125\,{x}^{7}}{14}}-{\frac{33525\,{x}^{6}}{8}}-{\frac{89343\,{x}^{5}}{8}}-{\frac{1182291\,{x}^{4}}{64}}-{\frac{2119763\,{x}^{3}}{96}}-{\frac{2836307\,{x}^{2}}{128}}-{\frac{3140435\,x}{128}}-{\frac{3195731\,\ln \left ( -1+2\,x \right ) }{256}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((2+3*x)^4*(3+5*x)^3/(1-2*x),x)
[Out]
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Maxima [A] time = 1.33349, size = 57, normalized size = 0.98 \[ -\frac{10125}{14} \, x^{7} - \frac{33525}{8} \, x^{6} - \frac{89343}{8} \, x^{5} - \frac{1182291}{64} \, x^{4} - \frac{2119763}{96} \, x^{3} - \frac{2836307}{128} \, x^{2} - \frac{3140435}{128} \, x - \frac{3195731}{256} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^4/(2*x - 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.206284, size = 57, normalized size = 0.98 \[ -\frac{10125}{14} \, x^{7} - \frac{33525}{8} \, x^{6} - \frac{89343}{8} \, x^{5} - \frac{1182291}{64} \, x^{4} - \frac{2119763}{96} \, x^{3} - \frac{2836307}{128} \, x^{2} - \frac{3140435}{128} \, x - \frac{3195731}{256} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^4/(2*x - 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.216181, size = 56, normalized size = 0.97 \[ - \frac{10125 x^{7}}{14} - \frac{33525 x^{6}}{8} - \frac{89343 x^{5}}{8} - \frac{1182291 x^{4}}{64} - \frac{2119763 x^{3}}{96} - \frac{2836307 x^{2}}{128} - \frac{3140435 x}{128} - \frac{3195731 \log{\left (2 x - 1 \right )}}{256} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2+3*x)**4*(3+5*x)**3/(1-2*x),x)
[Out]
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GIAC/XCAS [A] time = 0.211552, size = 58, normalized size = 1. \[ -\frac{10125}{14} \, x^{7} - \frac{33525}{8} \, x^{6} - \frac{89343}{8} \, x^{5} - \frac{1182291}{64} \, x^{4} - \frac{2119763}{96} \, x^{3} - \frac{2836307}{128} \, x^{2} - \frac{3140435}{128} \, x - \frac{3195731}{256} \,{\rm ln}\left ({\left | 2 \, x - 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^4/(2*x - 1),x, algorithm="giac")
[Out]