Optimal. Leaf size=30 \[ -\frac{9}{5 x^5}+\frac{6}{x^4}-\frac{22}{3 x^3}+\frac{4}{x^2}-\frac{1}{x} \]
[Out]
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Rubi [A] time = 0.0330635, antiderivative size = 30, 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 \[ -\frac{9}{5 x^5}+\frac{6}{x^4}-\frac{22}{3 x^3}+\frac{4}{x^2}-\frac{1}{x} \]
Antiderivative was successfully verified.
[In] Int[(3 - 4*x + x^2)^2/x^6,x]
[Out]
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Rubi in Sympy [A] time = 5.40079, size = 26, normalized size = 0.87 \[ - \frac{1}{x} + \frac{4}{x^{2}} - \frac{22}{3 x^{3}} + \frac{6}{x^{4}} - \frac{9}{5 x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((x**2-4*x+3)**2/x**6,x)
[Out]
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Mathematica [A] time = 0.00157144, size = 30, normalized size = 1. \[ -\frac{9}{5 x^5}+\frac{6}{x^4}-\frac{22}{3 x^3}+\frac{4}{x^2}-\frac{1}{x} \]
Antiderivative was successfully verified.
[In] Integrate[(3 - 4*x + x^2)^2/x^6,x]
[Out]
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Maple [A] time = 0.007, size = 27, normalized size = 0.9 \[ -{\frac{9}{5\,{x}^{5}}}+6\,{x}^{-4}-{\frac{22}{3\,{x}^{3}}}+4\,{x}^{-2}-{x}^{-1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((x^2-4*x+3)^2/x^6,x)
[Out]
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Maxima [A] time = 0.795154, size = 34, normalized size = 1.13 \[ -\frac{15 \, x^{4} - 60 \, x^{3} + 110 \, x^{2} - 90 \, x + 27}{15 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 - 4*x + 3)^2/x^6,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.192559, size = 34, normalized size = 1.13 \[ -\frac{15 \, x^{4} - 60 \, x^{3} + 110 \, x^{2} - 90 \, x + 27}{15 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 - 4*x + 3)^2/x^6,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.237971, size = 26, normalized size = 0.87 \[ - \frac{15 x^{4} - 60 x^{3} + 110 x^{2} - 90 x + 27}{15 x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x**2-4*x+3)**2/x**6,x)
[Out]
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GIAC/XCAS [A] time = 0.203456, size = 34, normalized size = 1.13 \[ -\frac{15 \, x^{4} - 60 \, x^{3} + 110 \, x^{2} - 90 \, x + 27}{15 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 - 4*x + 3)^2/x^6,x, algorithm="giac")
[Out]