Optimal. Leaf size=12 \[ b x-\frac{a}{2 x^2} \]
[Out]
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Rubi [A] time = 0.0119194, antiderivative size = 12, 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 \[ b x-\frac{a}{2 x^2} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^3)/x^3,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{a}{2 x^{2}} + \int b\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**3+a)/x**3,x)
[Out]
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Mathematica [A] time = 0.00161559, size = 12, normalized size = 1. \[ b x-\frac{a}{2 x^2} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^3)/x^3,x]
[Out]
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Maple [A] time = 0.003, size = 11, normalized size = 0.9 \[ -{\frac{a}{2\,{x}^{2}}}+bx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^3+a)/x^3,x)
[Out]
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Maxima [A] time = 1.4471, size = 14, normalized size = 1.17 \[ b x - \frac{a}{2 \, x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^3,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.208041, size = 20, normalized size = 1.67 \[ \frac{2 \, b x^{3} - a}{2 \, x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^3,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.00311, size = 8, normalized size = 0.67 \[ - \frac{a}{2 x^{2}} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**3+a)/x**3,x)
[Out]
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GIAC/XCAS [A] time = 0.217769, size = 14, normalized size = 1.17 \[ b x - \frac{a}{2 \, x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^3,x, algorithm="giac")
[Out]