Optimal. Leaf size=21 \[ \frac{1}{4} \log (5-x)-\frac{1}{4} \log (1-x) \]
[Out]
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Rubi [A] time = 0.0111936, antiderivative size = 21, normalized size of antiderivative = 1., number of steps used = 3, number of rules used = 2, integrand size = 10, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2 \[ \frac{1}{4} \log (5-x)-\frac{1}{4} \log (1-x) \]
Antiderivative was successfully verified.
[In] Int[(5 - 6*x + x^2)^(-1),x]
[Out]
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Rubi in Sympy [A] time = 0.739674, size = 12, normalized size = 0.57 \[ - \frac{\log{\left (- x + 1 \right )}}{4} + \frac{\log{\left (- x + 5 \right )}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(x**2-6*x+5),x)
[Out]
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Mathematica [A] time = 0.00445992, size = 21, normalized size = 1. \[ \frac{1}{4} \log (5-x)-\frac{1}{4} \log (1-x) \]
Antiderivative was successfully verified.
[In] Integrate[(5 - 6*x + x^2)^(-1),x]
[Out]
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Maple [A] time = 0.007, size = 14, normalized size = 0.7 \[{\frac{\ln \left ( -5+x \right ) }{4}}-{\frac{\ln \left ( -1+x \right ) }{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(x^2-6*x+5),x)
[Out]
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Maxima [A] time = 1.33546, size = 18, normalized size = 0.86 \[ -\frac{1}{4} \, \log \left (x - 1\right ) + \frac{1}{4} \, \log \left (x - 5\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(x^2 - 6*x + 5),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.208437, size = 18, normalized size = 0.86 \[ -\frac{1}{4} \, \log \left (x - 1\right ) + \frac{1}{4} \, \log \left (x - 5\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(x^2 - 6*x + 5),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.087385, size = 12, normalized size = 0.57 \[ \frac{\log{\left (x - 5 \right )}}{4} - \frac{\log{\left (x - 1 \right )}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(x**2-6*x+5),x)
[Out]
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GIAC/XCAS [A] time = 0.203373, size = 20, normalized size = 0.95 \[ -\frac{1}{4} \,{\rm ln}\left ({\left | x - 1 \right |}\right ) + \frac{1}{4} \,{\rm ln}\left ({\left | x - 5 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(x^2 - 6*x + 5),x, algorithm="giac")
[Out]