Optimal. Leaf size=15 \[ \frac{4 x^{3/2}}{3}+\sqrt{x} \]
[Out]
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Rubi [A] time = 0.00582433, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 17, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \frac{4 x^{3/2}}{3}+\sqrt{x} \]
Antiderivative was successfully verified.
[In] Int[1/(2*Sqrt[x]) + 2*Sqrt[x],x]
[Out]
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Rubi in Sympy [A] time = 1.32555, size = 12, normalized size = 0.8 \[ \frac{4 x^{\frac{3}{2}}}{3} + \sqrt{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/2/x**(1/2)+2*x**(1/2),x)
[Out]
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Mathematica [A] time = 0.00398699, size = 14, normalized size = 0.93 \[ \frac{1}{3} \sqrt{x} (4 x+3) \]
Antiderivative was successfully verified.
[In] Integrate[1/(2*Sqrt[x]) + 2*Sqrt[x],x]
[Out]
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Maple [A] time = 0.004, size = 11, normalized size = 0.7 \[{\frac{4\,x+3}{3}\sqrt{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/2/x^(1/2)+2*x^(1/2),x)
[Out]
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Maxima [A] time = 1.34557, size = 12, normalized size = 0.8 \[ \frac{4}{3} \, x^{\frac{3}{2}} + \sqrt{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(2*sqrt(x) + 1/2/sqrt(x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.201514, size = 14, normalized size = 0.93 \[ \frac{1}{3} \,{\left (4 \, x + 3\right )} \sqrt{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(2*sqrt(x) + 1/2/sqrt(x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.036302, size = 12, normalized size = 0.8 \[ \frac{4 x^{\frac{3}{2}}}{3} + \sqrt{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/2/x**(1/2)+2*x**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.233093, size = 12, normalized size = 0.8 \[ \frac{4}{3} \, x^{\frac{3}{2}} + \sqrt{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(2*sqrt(x) + 1/2/sqrt(x),x, algorithm="giac")
[Out]