Optimal. Leaf size=12 \[ 3 x-7 \log (2 x+3) \]
[Out]
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Rubi [A] time = 0.0157124, antiderivative size = 12, 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 \[ 3 x-7 \log (2 x+3) \]
Antiderivative was successfully verified.
[In] Int[(-5 + 6*x)/(3 + 2*x),x]
[Out]
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Rubi in Sympy [A] time = 1.61684, size = 10, normalized size = 0.83 \[ 3 x - 7 \log{\left (2 x + 3 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((-5+6*x)/(3+2*x),x)
[Out]
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Mathematica [A] time = 0.00435113, size = 15, normalized size = 1.25 \[ 3 x-7 \log (2 x+3)+\frac{9}{2} \]
Antiderivative was successfully verified.
[In] Integrate[(-5 + 6*x)/(3 + 2*x),x]
[Out]
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Maple [A] time = 0.003, size = 13, normalized size = 1.1 \[ 3\,x-7\,\ln \left ( 3+2\,x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((-5+6*x)/(3+2*x),x)
[Out]
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Maxima [A] time = 1.41085, size = 16, normalized size = 1.33 \[ 3 \, x - 7 \, \log \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((6*x - 5)/(2*x + 3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.189837, size = 16, normalized size = 1.33 \[ 3 \, x - 7 \, \log \left (2 \, x + 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((6*x - 5)/(2*x + 3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.060313, size = 10, normalized size = 0.83 \[ 3 x - 7 \log{\left (2 x + 3 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((-5+6*x)/(3+2*x),x)
[Out]
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GIAC/XCAS [A] time = 0.207369, size = 18, normalized size = 1.5 \[ 3 \, x - 7 \,{\rm ln}\left ({\left | 2 \, x + 3 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((6*x - 5)/(2*x + 3),x, algorithm="giac")
[Out]