Optimal. Leaf size=12 \[ \frac{a x^2}{2}+b x \]
[Out]
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Rubi [A] time = 0.0134137, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111 \[ \frac{a x^2}{2}+b x \]
Antiderivative was successfully verified.
[In] Int[(a + b/x)*x,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ a \int x\, dx + \int b\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((a+b/x)*x,x)
[Out]
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Mathematica [A] time = 0.000895952, size = 12, normalized size = 1. \[ \frac{a x^2}{2}+b x \]
Antiderivative was successfully verified.
[In] Integrate[(a + b/x)*x,x]
[Out]
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Maple [A] time = 0., size = 11, normalized size = 0.9 \[ bx+{\frac{a{x}^{2}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((a+b/x)*x,x)
[Out]
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Maxima [A] time = 1.433, size = 14, normalized size = 1.17 \[ \frac{1}{2} \, a x^{2} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)*x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.21299, size = 14, normalized size = 1.17 \[ \frac{1}{2} \, a x^{2} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)*x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.062622, size = 8, normalized size = 0.67 \[ \frac{a x^{2}}{2} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a+b/x)*x,x)
[Out]
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GIAC/XCAS [A] time = 0.224759, size = 14, normalized size = 1.17 \[ \frac{1}{2} \, a x^{2} + b x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((a + b/x)*x,x, algorithm="giac")
[Out]