Optimal. Leaf size=12 \[ a x+\frac{b x^3}{3} \]
[Out]
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Rubi [A] time = 0.00977164, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ a x+\frac{b x^3}{3} \]
Antiderivative was successfully verified.
[In] Int[(a*x + b*x^3)/x,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{b x^{3}}{3} + \int a\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**3+a*x)/x,x)
[Out]
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Mathematica [A] time = 0.000616287, size = 12, normalized size = 1. \[ a x+\frac{b x^3}{3} \]
Antiderivative was successfully verified.
[In] Integrate[(a*x + b*x^3)/x,x]
[Out]
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Maple [A] time = 0.002, size = 11, normalized size = 0.9 \[ ax+{\frac{b{x}^{3}}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^3+a*x)/x,x)
[Out]
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Maxima [A] time = 1.36991, size = 14, normalized size = 1.17 \[ \frac{1}{3} \, b x^{3} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a*x)/x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.197114, size = 14, normalized size = 1.17 \[ \frac{1}{3} \, b x^{3} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a*x)/x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.03994, size = 8, normalized size = 0.67 \[ a x + \frac{b x^{3}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**3+a*x)/x,x)
[Out]
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GIAC/XCAS [A] time = 0.21486, size = 14, normalized size = 1.17 \[ \frac{1}{3} \, b x^{3} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a*x)/x,x, algorithm="giac")
[Out]