Optimal. Leaf size=19 \[ \frac{x^2}{2}+6 x+17 \log (2-x) \]
[Out]
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Rubi [A] time = 0.0292375, antiderivative size = 19, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 14, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.071 \[ \frac{x^2}{2}+6 x+17 \log (2-x) \]
Antiderivative was successfully verified.
[In] Int[(5 + 4*x + x^2)/(-2 + x),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ 6 x + 17 \log{\left (- x + 2 \right )} + \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((x**2+4*x+5)/(-2+x),x)
[Out]
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Mathematica [A] time = 0.00561538, size = 18, normalized size = 0.95 \[ \frac{x^2}{2}+6 x+17 \log (x-2)-14 \]
Antiderivative was successfully verified.
[In] Integrate[(5 + 4*x + x^2)/(-2 + x),x]
[Out]
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Maple [A] time = 0.004, size = 16, normalized size = 0.8 \[{\frac{{x}^{2}}{2}}+6\,x+17\,\ln \left ( x-2 \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((x^2+4*x+5)/(x-2),x)
[Out]
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Maxima [A] time = 0.779462, size = 20, normalized size = 1.05 \[ \frac{1}{2} \, x^{2} + 6 \, x + 17 \, \log \left (x - 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 + 4*x + 5)/(x - 2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.215289, size = 20, normalized size = 1.05 \[ \frac{1}{2} \, x^{2} + 6 \, x + 17 \, \log \left (x - 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 + 4*x + 5)/(x - 2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.132815, size = 14, normalized size = 0.74 \[ \frac{x^{2}}{2} + 6 x + 17 \log{\left (x - 2 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x**2+4*x+5)/(-2+x),x)
[Out]
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GIAC/XCAS [A] time = 0.203556, size = 22, normalized size = 1.16 \[ \frac{1}{2} \, x^{2} + 6 \, x + 17 \,{\rm ln}\left ({\left | x - 2 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 + 4*x + 5)/(x - 2),x, algorithm="giac")
[Out]