Optimal. Leaf size=14 \[ a x+\frac{2}{3} b x^{3/2} \]
[Out]
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Rubi [A] time = 0.0109322, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ a x+\frac{2}{3} b x^{3/2} \]
Antiderivative was successfully verified.
[In] Int[a + b*Sqrt[x],x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{2 b x^{\frac{3}{2}}}{3} + \int a\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(a+b*x**(1/2),x)
[Out]
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Mathematica [A] time = 0.00305744, size = 14, normalized size = 1. \[ a x+\frac{2}{3} b x^{3/2} \]
Antiderivative was successfully verified.
[In] Integrate[a + b*Sqrt[x],x]
[Out]
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Maple [A] time = 0.002, size = 11, normalized size = 0.8 \[ ax+{\frac{2\,b}{3}{x}^{{\frac{3}{2}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(a+b*x^(1/2),x)
[Out]
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Maxima [A] time = 1.42894, size = 14, normalized size = 1. \[ \frac{2}{3} \, b x^{\frac{3}{2}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(b*sqrt(x) + a,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.241529, size = 14, normalized size = 1. \[ \frac{2}{3} \, b x^{\frac{3}{2}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(b*sqrt(x) + a,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.063559, size = 12, normalized size = 0.86 \[ a x + \frac{2 b x^{\frac{3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(a+b*x**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.214009, size = 14, normalized size = 1. \[ \frac{2}{3} \, b x^{\frac{3}{2}} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(b*sqrt(x) + a,x, algorithm="giac")
[Out]