Optimal. Leaf size=17 \[ -\frac{a}{6 x^6}-\frac{b}{2 x^2} \]
[Out]
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Rubi [A] time = 0.0132883, 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 \[ -\frac{a}{6 x^6}-\frac{b}{2 x^2} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^4)/x^7,x]
[Out]
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Rubi in Sympy [A] time = 2.91241, size = 14, normalized size = 0.82 \[ - \frac{a}{6 x^{6}} - \frac{b}{2 x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**4+a)/x**7,x)
[Out]
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Mathematica [A] time = 0.00347534, size = 17, normalized size = 1. \[ -\frac{a}{6 x^6}-\frac{b}{2 x^2} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^4)/x^7,x]
[Out]
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Maple [A] time = 0.007, size = 14, normalized size = 0.8 \[ -{\frac{a}{6\,{x}^{6}}}-{\frac{b}{2\,{x}^{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^4+a)/x^7,x)
[Out]
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Maxima [A] time = 1.42916, size = 18, normalized size = 1.06 \[ -\frac{3 \, b x^{4} + a}{6 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^7,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.216459, size = 18, normalized size = 1.06 \[ -\frac{3 \, b x^{4} + a}{6 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^7,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.14796, size = 14, normalized size = 0.82 \[ - \frac{a + 3 b x^{4}}{6 x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**4+a)/x**7,x)
[Out]
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GIAC/XCAS [A] time = 0.24539, size = 18, normalized size = 1.06 \[ -\frac{3 \, b x^{4} + a}{6 \, x^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^7,x, algorithm="giac")
[Out]