Optimal. Leaf size=10 \[ \frac{1}{3} \log (3 x+2) \]
[Out]
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Rubi [A] time = 0.0064259, antiderivative size = 10, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143 \[ \frac{1}{3} \log (3 x+2) \]
Antiderivative was successfully verified.
[In] Int[(2 + 3*x)^(-1),x]
[Out]
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Rubi in Sympy [A] time = 1.07953, size = 7, normalized size = 0.7 \[ \frac{\log{\left (3 x + 2 \right )}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(2+3*x),x)
[Out]
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Mathematica [A] time = 0.00116986, size = 10, normalized size = 1. \[ \frac{1}{3} \log (3 x+2) \]
Antiderivative was successfully verified.
[In] Integrate[(2 + 3*x)^(-1),x]
[Out]
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Maple [A] time = 0.001, size = 9, normalized size = 0.9 \[{\frac{\ln \left ( 2+3\,x \right ) }{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(2+3*x),x)
[Out]
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Maxima [A] time = 0.782142, size = 11, normalized size = 1.1 \[ \frac{1}{3} \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(3*x + 2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.267878, size = 11, normalized size = 1.1 \[ \frac{1}{3} \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(3*x + 2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.061809, size = 7, normalized size = 0.7 \[ \frac{\log{\left (3 x + 2 \right )}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(2+3*x),x)
[Out]
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GIAC/XCAS [A] time = 0.262542, size = 12, normalized size = 1.2 \[ \frac{1}{3} \,{\rm ln}\left ({\left | 3 \, x + 2 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(3*x + 2),x, algorithm="giac")
[Out]