Optimal. Leaf size=14 \[ \frac{2 \sqrt{c+d x}}{d} \]
[Out]
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Rubi [A] time = 0.00709146, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111 \[ \frac{2 \sqrt{c+d x}}{d} \]
Antiderivative was successfully verified.
[In] Int[1/Sqrt[c + d*x],x]
[Out]
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Rubi in Sympy [A] time = 1.36657, size = 10, normalized size = 0.71 \[ \frac{2 \sqrt{c + d x}}{d} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(d*x+c)**(1/2),x)
[Out]
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Mathematica [A] time = 0.00289841, size = 14, normalized size = 1. \[ \frac{2 \sqrt{c+d x}}{d} \]
Antiderivative was successfully verified.
[In] Integrate[1/Sqrt[c + d*x],x]
[Out]
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Maple [A] time = 0.003, size = 13, normalized size = 0.9 \[ 2\,{\frac{\sqrt{dx+c}}{d}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(d*x+c)^(1/2),x)
[Out]
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Maxima [A] time = 1.38129, size = 16, normalized size = 1.14 \[ \frac{2 \, \sqrt{d x + c}}{d} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(d*x + c),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.217544, size = 16, normalized size = 1.14 \[ \frac{2 \, \sqrt{d x + c}}{d} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(d*x + c),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.033776, size = 10, normalized size = 0.71 \[ \frac{2 \sqrt{c + d x}}{d} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(d*x+c)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.219224, size = 16, normalized size = 1.14 \[ \frac{2 \, \sqrt{d x + c}}{d} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(d*x + c),x, algorithm="giac")
[Out]