Optimal. Leaf size=12 \[ \frac{x^2}{2 \sqrt{a}} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00579073, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 3, number of rules used = 3, integrand size = 22, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.136 \[ \frac{x^2}{2 \sqrt{a}} \]
Antiderivative was successfully verified.
[In] Int[x/Sqrt[a + (2 + 2*c - 2*(1 + c))*x^4],x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{\int x\, dx}{\sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x/a**(1/2),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.000953549, size = 12, normalized size = 1. \[ \frac{x^2}{2 \sqrt{a}} \]
Antiderivative was successfully verified.
[In] Integrate[x/Sqrt[a + (2 + 2*c - 2*(1 + c))*x^4],x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0., size = 9, normalized size = 0.8 \[{\frac{{x}^{2}}{2}{\frac{1}{\sqrt{a}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x/a^(1/2),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 0.737804, size = 11, normalized size = 0.92 \[ \frac{x^{2}}{2 \, \sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/sqrt(a),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.266192, size = 11, normalized size = 0.92 \[ \frac{x^{2}}{2 \, \sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/sqrt(a),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.051983, size = 8, normalized size = 0.67 \[ \frac{x^{2}}{2 \sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/a**(1/2),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.260769, size = 11, normalized size = 0.92 \[ \frac{x^{2}}{2 \, \sqrt{a}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/sqrt(a),x, algorithm="giac")
[Out]