Optimal. Leaf size=10 \[ x+5 \log (5-x) \]
[Out]
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Rubi [A] time = 0.0118842, antiderivative size = 10, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143 \[ x+5 \log (5-x) \]
Antiderivative was successfully verified.
[In] Int[x/(-5 + x),x]
[Out]
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Rubi in Sympy [A] time = 1.06624, size = 7, normalized size = 0.7 \[ x + 5 \log{\left (- x + 5 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x/(-5+x),x)
[Out]
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Mathematica [A] time = 0.00193654, size = 8, normalized size = 0.8 \[ x+5 \log (x-5) \]
Antiderivative was successfully verified.
[In] Integrate[x/(-5 + x),x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.9 \[ x+5\,\ln \left ( -5+x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x/(-5+x),x)
[Out]
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Maxima [A] time = 1.3611, size = 11, normalized size = 1.1 \[ x + 5 \, \log \left (x - 5\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/(x - 5),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.195011, size = 11, normalized size = 1.1 \[ x + 5 \, \log \left (x - 5\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/(x - 5),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.0566, size = 7, normalized size = 0.7 \[ x + 5 \log{\left (x - 5 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/(-5+x),x)
[Out]
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GIAC/XCAS [A] time = 0.208451, size = 12, normalized size = 1.2 \[ x + 5 \,{\rm ln}\left ({\left | x - 5 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/(x - 5),x, algorithm="giac")
[Out]