Optimal. Leaf size=14 \[ \frac{\pi x}{\sqrt{16-e^2}} \]
[Out]
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Rubi [A] time = 0.0161089, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ \frac{\pi x}{\sqrt{16-e^2}} \]
Antiderivative was successfully verified.
[In] Int[Pi/Sqrt[16 - E^2],x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \frac{\int \pi \, dx}{\sqrt{- e^{2} + 16}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(pi/(16-exp(2))**(1/2),x)
[Out]
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Mathematica [A] time = 0.0000435177, size = 14, normalized size = 1. \[ \frac{\pi x}{\sqrt{16-e^2}} \]
Antiderivative was successfully verified.
[In] Integrate[Pi/Sqrt[16 - E^2],x]
[Out]
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Maple [A] time = 0.001, size = 12, normalized size = 0.9 \[{\frac{\pi \,x}{\sqrt{16-{{\rm e}^{2}}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(Pi/(16-exp(2))^(1/2),x)
[Out]
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Maxima [A] time = 1.33101, size = 15, normalized size = 1.07 \[ \frac{\pi x}{\sqrt{-e^{2} + 16}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(pi/sqrt(-e^2 + 16),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.214672, size = 15, normalized size = 1.07 \[ \frac{\pi x}{\sqrt{-e^{2} + 16}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(pi/sqrt(-e^2 + 16),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.023166, size = 10, normalized size = 0.71 \[ \frac{\pi x}{\sqrt{- e^{2} + 16}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(pi/(16-exp(2))**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.214826, size = 15, normalized size = 1.07 \[ \frac{\pi x}{\sqrt{-e^{2} + 16}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(pi/sqrt(-e^2 + 16),x, algorithm="giac")
[Out]