Optimal. Leaf size=26 \[ \frac{3 x^{2/3}}{2}+\frac{10}{11} \sqrt [5]{x^3} \sqrt{x} \]
[Out]
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Rubi [A] time = 0.0149048, antiderivative size = 26, normalized size of antiderivative = 1., number of steps used = 4, number of rules used = 3, integrand size = 19, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.158 \[ \frac{3 x^{2/3}}{2}+\frac{10}{11} \sqrt [5]{x^3} \sqrt{x} \]
Antiderivative was successfully verified.
[In] Int[(x^(1/6) + (x^3)^(1/5))/Sqrt[x],x]
[Out]
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Rubi in Sympy [A] time = 2.43389, size = 22, normalized size = 0.85 \[ \frac{3 x^{\frac{2}{3}}}{2} + \frac{10 \sqrt{x} \sqrt [5]{x^{3}}}{11} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((x**(1/6)+(x**3)**(1/5))/x**(1/2),x)
[Out]
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Mathematica [A] time = 0.0157092, size = 26, normalized size = 1. \[ \frac{3 x^{2/3}}{2}+\frac{10}{11} \sqrt [5]{x^3} \sqrt{x} \]
Antiderivative was successfully verified.
[In] Integrate[(x^(1/6) + (x^3)^(1/5))/Sqrt[x],x]
[Out]
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Maple [A] time = 0.005, size = 17, normalized size = 0.7 \[{\frac{3}{2}{x}^{{\frac{2}{3}}}}+{\frac{10}{11}\sqrt [5]{{x}^{3}}\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((x^(1/6)+(x^3)^(1/5))/x^(1/2),x)
[Out]
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Maxima [A] time = 0.709692, size = 22, normalized size = 0.85 \[ \frac{10}{11} \,{\left (x^{3}\right )}^{\frac{1}{5}} \sqrt{x} + \frac{3}{2} \, x^{\frac{2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(((x^3)^(1/5) + x^(1/6))/sqrt(x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.266713, size = 26, normalized size = 1. \[ \frac{20 \,{\left (x^{3}\right )}^{\frac{1}{5}} x^{\frac{5}{6}} + 33 \, x}{22 \, x^{\frac{1}{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(((x^3)^(1/5) + x^(1/6))/sqrt(x),x, algorithm="fricas")
[Out]
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Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \[ \text{Timed out} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x**(1/6)+(x**3)**(1/5))/x**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.261164, size = 15, normalized size = 0.58 \[ \frac{10}{11} \, x^{\frac{11}{10}} + \frac{3}{2} \, x^{\frac{2}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(((x^3)^(1/5) + x^(1/6))/sqrt(x),x, algorithm="giac")
[Out]