Optimal. Leaf size=7 \[ \frac{x}{\sqrt{a}} \]
[Out]
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Rubi [A] time = 0.00440841, antiderivative size = 7, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.1 \[ \frac{x}{\sqrt{a}} \]
Antiderivative was successfully verified.
[In] Int[1/Sqrt[a + (2 + 2*c - 2*(1 + c))*x^4],x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \int \frac{1}{\sqrt{a}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/a**(1/2),x)
[Out]
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Mathematica [A] time = 0.000984268, size = 7, normalized size = 1. \[ \frac{x}{\sqrt{a}} \]
Antiderivative was successfully verified.
[In] Integrate[1/Sqrt[a + (2 + 2*c - 2*(1 + c))*x^4],x]
[Out]
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Maple [A] time = 0., size = 6, normalized size = 0.9 \[{x{\frac{1}{\sqrt{a}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/a^(1/2),x)
[Out]
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Maxima [A] time = 0.737945, size = 7, normalized size = 1. \[ \frac{x}{\sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(a),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.262916, size = 7, normalized size = 1. \[ \frac{x}{\sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(a),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.040289, size = 5, normalized size = 0.71 \[ \frac{x}{\sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/a**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.260934, size = 7, normalized size = 1. \[ \frac{x}{\sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(a),x, algorithm="giac")
[Out]