Optimal. Leaf size=17 \[ -\frac{a}{5 x^5}-\frac{b}{7 x^7} \]
[Out]
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Rubi [A] time = 0.0156606, 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 \[ -\frac{a}{5 x^5}-\frac{b}{7 x^7} \]
Antiderivative was successfully verified.
[In] Int[(a + b/x^2)/x^6,x]
[Out]
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Rubi in Sympy [A] time = 2.93819, size = 14, normalized size = 0.82 \[ - \frac{a}{5 x^{5}} - \frac{b}{7 x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((a+b/x**2)/x**6,x)
[Out]
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Mathematica [A] time = 0.00339726, size = 17, normalized size = 1. \[ -\frac{a}{5 x^5}-\frac{b}{7 x^7} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b/x^2)/x^6,x]
[Out]
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Maple [A] time = 0.006, size = 14, normalized size = 0.8 \[ -{\frac{b}{7\,{x}^{7}}}-{\frac{a}{5\,{x}^{5}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((a+b/x^2)/x^6,x)
[Out]
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Maxima [A] time = 1.44, size = 20, normalized size = 1.18 \[ -\frac{7 \, a x^{2} + 5 \, b}{35 \, x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)/x^6,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.215507, size = 20, normalized size = 1.18 \[ -\frac{7 \, a x^{2} + 5 \, b}{35 \, x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)/x^6,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.21881, size = 15, normalized size = 0.88 \[ - \frac{7 a x^{2} + 5 b}{35 x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a+b/x**2)/x**6,x)
[Out]
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GIAC/XCAS [A] time = 0.229471, size = 20, normalized size = 1.18 \[ -\frac{7 \, a x^{2} + 5 \, b}{35 \, x^{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)/x^6,x, algorithm="giac")
[Out]