Optimal. Leaf size=36 \[ -\frac{3}{2 x^6}+\frac{24}{5 x^5}-\frac{11}{2 x^4}+\frac{8}{3 x^3}-\frac{1}{2 x^2} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0340478, antiderivative size = 36, 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 \[ -\frac{3}{2 x^6}+\frac{24}{5 x^5}-\frac{11}{2 x^4}+\frac{8}{3 x^3}-\frac{1}{2 x^2} \]
Antiderivative was successfully verified.
[In] Int[(3 - 4*x + x^2)^2/x^7,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 5.39574, size = 32, normalized size = 0.89 \[ - \frac{1}{2 x^{2}} + \frac{8}{3 x^{3}} - \frac{11}{2 x^{4}} + \frac{24}{5 x^{5}} - \frac{3}{2 x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((x**2-4*x+3)**2/x**7,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00130969, size = 36, normalized size = 1. \[ -\frac{3}{2 x^6}+\frac{24}{5 x^5}-\frac{11}{2 x^4}+\frac{8}{3 x^3}-\frac{1}{2 x^2} \]
Antiderivative was successfully verified.
[In] Integrate[(3 - 4*x + x^2)^2/x^7,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.008, size = 27, normalized size = 0.8 \[ -{\frac{3}{2\,{x}^{6}}}+{\frac{24}{5\,{x}^{5}}}-{\frac{11}{2\,{x}^{4}}}+{\frac{8}{3\,{x}^{3}}}-{\frac{1}{2\,{x}^{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((x^2-4*x+3)^2/x^7,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 0.805505, size = 34, normalized size = 0.94 \[ -\frac{15 \, x^{4} - 80 \, x^{3} + 165 \, x^{2} - 144 \, x + 45}{30 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 - 4*x + 3)^2/x^7,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.206271, size = 34, normalized size = 0.94 \[ -\frac{15 \, x^{4} - 80 \, x^{3} + 165 \, x^{2} - 144 \, x + 45}{30 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 - 4*x + 3)^2/x^7,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.255811, size = 26, normalized size = 0.72 \[ - \frac{15 x^{4} - 80 x^{3} + 165 x^{2} - 144 x + 45}{30 x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x**2-4*x+3)**2/x**7,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.20158, size = 34, normalized size = 0.94 \[ -\frac{15 \, x^{4} - 80 \, x^{3} + 165 \, x^{2} - 144 \, x + 45}{30 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^2 - 4*x + 3)^2/x^7,x, algorithm="giac")
[Out]