Optimal. Leaf size=12 \[ \log (3-x)-\frac{1}{x} \]
[Out]
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Rubi [A] time = 0.034114, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.067 \[ \log (3-x)-\frac{1}{x} \]
Antiderivative was successfully verified.
[In] Int[(-3 + x + x^2)/((-3 + x)*x^2),x]
[Out]
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Rubi in Sympy [A] time = 4.45373, size = 7, normalized size = 0.58 \[ \log{\left (- x + 3 \right )} - \frac{1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((x**2+x-3)/(-3+x)/x**2,x)
[Out]
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Mathematica [A] time = 0.00500165, size = 12, normalized size = 1. \[ \log (3-x)-\frac{1}{x} \]
Antiderivative was successfully verified.
[In] Integrate[(-3 + x + x^2)/((-3 + x)*x^2),x]
[Out]
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Maple [A] time = 0.008, size = 11, normalized size = 0.9 \[ \ln \left ( -3+x \right ) -{x}^{-1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((x^2+x-3)/(-3+x)/x^2,x)
[Out]
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Maxima [A] time = 0.812887, size = 14, normalized size = 1.17 \[ -\frac{1}{x} + \log \left (x - 3\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 + x - 3)/((x - 3)*x^2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.2497, size = 16, normalized size = 1.33 \[ \frac{x \log \left (x - 3\right ) - 1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 + x - 3)/((x - 3)*x^2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.174778, size = 7, normalized size = 0.58 \[ \log{\left (x - 3 \right )} - \frac{1}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x**2+x-3)/(-3+x)/x**2,x)
[Out]
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GIAC/XCAS [A] time = 0.261107, size = 15, normalized size = 1.25 \[ -\frac{1}{x} +{\rm ln}\left ({\left | x - 3 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 + x - 3)/((x - 3)*x^2),x, algorithm="giac")
[Out]