Optimal. Leaf size=22 \[ -\frac{11}{25 (5 x+3)}-\frac{2}{25} \log (5 x+3) \]
[Out]
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Rubi [A] time = 0.0209195, antiderivative size = 22, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ -\frac{11}{25 (5 x+3)}-\frac{2}{25} \log (5 x+3) \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)/(3 + 5*x)^2,x]
[Out]
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Rubi in Sympy [A] time = 3.98075, size = 17, normalized size = 0.77 \[ - \frac{2 \log{\left (5 x + 3 \right )}}{25} - \frac{11}{25 \left (5 x + 3\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)/(3+5*x)**2,x)
[Out]
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Mathematica [A] time = 0.00664381, size = 22, normalized size = 1. \[ -\frac{11}{25 (5 x+3)}-\frac{2}{25} \log (5 x+3) \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)/(3 + 5*x)^2,x]
[Out]
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Maple [A] time = 0.007, size = 19, normalized size = 0.9 \[ -{\frac{11}{75+125\,x}}-{\frac{2\,\ln \left ( 3+5\,x \right ) }{25}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)/(3+5*x)^2,x)
[Out]
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Maxima [A] time = 1.34224, size = 24, normalized size = 1.09 \[ -\frac{11}{25 \,{\left (5 \, x + 3\right )}} - \frac{2}{25} \, \log \left (5 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)/(5*x + 3)^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.213323, size = 32, normalized size = 1.45 \[ -\frac{2 \,{\left (5 \, x + 3\right )} \log \left (5 \, x + 3\right ) + 11}{25 \,{\left (5 \, x + 3\right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)/(5*x + 3)^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.162658, size = 17, normalized size = 0.77 \[ - \frac{2 \log{\left (5 x + 3 \right )}}{25} - \frac{11}{125 x + 75} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)/(3+5*x)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.209502, size = 38, normalized size = 1.73 \[ -\frac{11}{25 \,{\left (5 \, x + 3\right )}} + \frac{2}{25} \,{\rm ln}\left (\frac{{\left | 5 \, x + 3 \right |}}{5 \,{\left (5 \, x + 3\right )}^{2}}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)/(5*x + 3)^2,x, algorithm="giac")
[Out]