Optimal. Leaf size=17 \[ -\frac{a}{3 x^3}-\frac{b}{5 x^5} \]
[Out]
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Rubi [A] time = 0.0159713, 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 \[ -\frac{a}{3 x^3}-\frac{b}{5 x^5} \]
Antiderivative was successfully verified.
[In] Int[(a + b/x^2)/x^4,x]
[Out]
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Rubi in Sympy [A] time = 2.86867, size = 14, normalized size = 0.82 \[ - \frac{a}{3 x^{3}} - \frac{b}{5 x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((a+b/x**2)/x**4,x)
[Out]
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Mathematica [A] time = 0.00380172, size = 17, normalized size = 1. \[ -\frac{a}{3 x^3}-\frac{b}{5 x^5} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b/x^2)/x^4,x]
[Out]
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Maple [A] time = 0.006, size = 14, normalized size = 0.8 \[ -{\frac{b}{5\,{x}^{5}}}-{\frac{a}{3\,{x}^{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((a+b/x^2)/x^4,x)
[Out]
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Maxima [A] time = 1.43559, size = 20, normalized size = 1.18 \[ -\frac{5 \, a x^{2} + 3 \, b}{15 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)/x^4,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.21962, size = 20, normalized size = 1.18 \[ -\frac{5 \, a x^{2} + 3 \, b}{15 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)/x^4,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.16954, size = 15, normalized size = 0.88 \[ - \frac{5 a x^{2} + 3 b}{15 x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a+b/x**2)/x**4,x)
[Out]
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GIAC/XCAS [A] time = 0.227119, size = 20, normalized size = 1.18 \[ -\frac{5 \, a x^{2} + 3 \, b}{15 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x^2)/x^4,x, algorithm="giac")
[Out]