Optimal. Leaf size=15 \[ \frac{b x^2}{2}-\frac{a}{x} \]
[Out]
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Rubi [A] time = 0.0130924, antiderivative size = 15, 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 \[ \frac{b x^2}{2}-\frac{a}{x} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^3)/x^2,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{a}{x} + b \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**3+a)/x**2,x)
[Out]
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Mathematica [A] time = 0.00187862, size = 15, normalized size = 1. \[ \frac{b x^2}{2}-\frac{a}{x} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^3)/x^2,x]
[Out]
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Maple [A] time = 0.005, size = 14, normalized size = 0.9 \[ -{\frac{a}{x}}+{\frac{b{x}^{2}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^3+a)/x^2,x)
[Out]
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Maxima [A] time = 1.44221, size = 18, normalized size = 1.2 \[ \frac{1}{2} \, b x^{2} - \frac{a}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.211457, size = 19, normalized size = 1.27 \[ \frac{b x^{3} - 2 \, a}{2 \, x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.02542, size = 8, normalized size = 0.53 \[ - \frac{a}{x} + \frac{b x^{2}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**3+a)/x**2,x)
[Out]
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GIAC/XCAS [A] time = 0.233351, size = 18, normalized size = 1.2 \[ \frac{1}{2} \, b x^{2} - \frac{a}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^2,x, algorithm="giac")
[Out]