Optimal. Leaf size=17 \[ -\frac{a}{5 x^5}-\frac{b}{6 x^6} \]
[Out]
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Rubi [A] time = 0.0145442, antiderivative size = 17, 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 \[ -\frac{a}{5 x^5}-\frac{b}{6 x^6} \]
Antiderivative was successfully verified.
[In] Int[(a + b/x)/x^6,x]
[Out]
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Rubi in Sympy [A] time = 3.05298, size = 14, normalized size = 0.82 \[ - \frac{a}{5 x^{5}} - \frac{b}{6 x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((a+b/x)/x**6,x)
[Out]
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Mathematica [A] time = 0.00272178, size = 17, normalized size = 1. \[ -\frac{a}{5 x^5}-\frac{b}{6 x^6} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b/x)/x^6,x]
[Out]
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Maple [A] time = 0.007, size = 14, normalized size = 0.8 \[ -{\frac{b}{6\,{x}^{6}}}-{\frac{a}{5\,{x}^{5}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((a+b/x)/x^6,x)
[Out]
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Maxima [A] time = 1.44016, size = 18, normalized size = 1.06 \[ -\frac{6 \, a x + 5 \, b}{30 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/x^6,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.216651, size = 18, normalized size = 1.06 \[ -\frac{6 \, a x + 5 \, b}{30 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/x^6,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.17681, size = 14, normalized size = 0.82 \[ - \frac{6 a x + 5 b}{30 x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a+b/x)/x**6,x)
[Out]
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GIAC/XCAS [A] time = 0.223869, size = 18, normalized size = 1.06 \[ -\frac{6 \, a x + 5 \, b}{30 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)/x^6,x, algorithm="giac")
[Out]