Optimal. Leaf size=10 \[ x-2 \log (2 x+3) \]
[Out]
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Rubi [A] time = 0.0145224, antiderivative size = 10, 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 \[ x-2 \log (2 x+3) \]
Antiderivative was successfully verified.
[In] Int[(-1 + 2*x)/(3 + 2*x),x]
[Out]
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Rubi in Sympy [A] time = 1.65684, size = 8, normalized size = 0.8 \[ x - 2 \log{\left (2 x + 3 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((2*x-1)/(3+2*x),x)
[Out]
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Mathematica [A] time = 0.00293552, size = 10, normalized size = 1. \[ x-2 \log (2 x+3) \]
Antiderivative was successfully verified.
[In] Integrate[(-1 + 2*x)/(3 + 2*x),x]
[Out]
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Maple [A] time = 0.003, size = 11, normalized size = 1.1 \[ x-2\,\ln \left ( 3+2\,x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((2*x-1)/(3+2*x),x)
[Out]
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Maxima [A] time = 1.33747, size = 14, normalized size = 1.4 \[ x - 2 \, \log \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)/(2*x + 3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.211592, size = 14, normalized size = 1.4 \[ x - 2 \, \log \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)/(2*x + 3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.058728, size = 8, normalized size = 0.8 \[ x - 2 \log{\left (2 x + 3 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x-1)/(3+2*x),x)
[Out]
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GIAC/XCAS [A] time = 0.202613, size = 15, normalized size = 1.5 \[ x - 2 \,{\rm ln}\left ({\left | 2 \, x + 3 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)/(2*x + 3),x, algorithm="giac")
[Out]