Optimal. Leaf size=25 \[ -\frac{a}{6 x^6}-\frac{b}{4 x^4}-\frac{c}{2 x^2} \]
[Out]
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Rubi [A] time = 0.0202527, antiderivative size = 25, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 16, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.062 \[ -\frac{a}{6 x^6}-\frac{b}{4 x^4}-\frac{c}{2 x^2} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^2 + c*x^4)/x^7,x]
[Out]
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Rubi in Sympy [A] time = 6.94023, size = 20, normalized size = 0.8 \[ - \frac{a}{6 x^{6}} - \frac{b}{4 x^{4}} - \frac{c}{2 x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((c*x**4+b*x**2+a)/x**7,x)
[Out]
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Mathematica [A] time = 0.00435337, size = 25, normalized size = 1. \[ -\frac{a}{6 x^6}-\frac{b}{4 x^4}-\frac{c}{2 x^2} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^2 + c*x^4)/x^7,x]
[Out]
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Maple [A] time = 0.007, size = 20, normalized size = 0.8 \[ -{\frac{a}{6\,{x}^{6}}}-{\frac{b}{4\,{x}^{4}}}-{\frac{c}{2\,{x}^{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((c*x^4+b*x^2+a)/x^7,x)
[Out]
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Maxima [A] time = 0.685433, size = 28, normalized size = 1.12 \[ -\frac{6 \, c x^{4} + 3 \, b x^{2} + 2 \, a}{12 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2 + a)/x^7,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.247331, size = 28, normalized size = 1.12 \[ -\frac{6 \, c x^{4} + 3 \, b x^{2} + 2 \, a}{12 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2 + a)/x^7,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.64384, size = 22, normalized size = 0.88 \[ - \frac{2 a + 3 b x^{2} + 6 c x^{4}}{12 x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x**4+b*x**2+a)/x**7,x)
[Out]
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GIAC/XCAS [A] time = 0.263818, size = 28, normalized size = 1.12 \[ -\frac{6 \, c x^{4} + 3 \, b x^{2} + 2 \, a}{12 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((c*x^4 + b*x^2 + a)/x^7,x, algorithm="giac")
[Out]