Optimal. Leaf size=15 \[ -\frac{a}{5 x^5}-\frac{b}{x} \]
[Out]
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Rubi [A] time = 0.013574, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ -\frac{a}{5 x^5}-\frac{b}{x} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^4)/x^6,x]
[Out]
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Rubi in Sympy [A] time = 2.90562, size = 10, normalized size = 0.67 \[ - \frac{a}{5 x^{5}} - \frac{b}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**4+a)/x**6,x)
[Out]
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Mathematica [A] time = 0.00366381, size = 15, normalized size = 1. \[ -\frac{a}{5 x^5}-\frac{b}{x} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^4)/x^6,x]
[Out]
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Maple [A] time = 0.008, size = 14, normalized size = 0.9 \[ -{\frac{a}{5\,{x}^{5}}}-{\frac{b}{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^4+a)/x^6,x)
[Out]
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Maxima [A] time = 1.43862, size = 18, normalized size = 1.2 \[ -\frac{5 \, b x^{4} + a}{5 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^6,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.219469, size = 18, normalized size = 1.2 \[ -\frac{5 \, b x^{4} + a}{5 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^6,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.12274, size = 14, normalized size = 0.93 \[ - \frac{a + 5 b x^{4}}{5 x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**4+a)/x**6,x)
[Out]
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GIAC/XCAS [A] time = 0.217971, size = 18, normalized size = 1.2 \[ -\frac{5 \, b x^{4} + a}{5 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^6,x, algorithm="giac")
[Out]