Optimal. Leaf size=16 \[ -\frac{5 x}{2}-\frac{11}{4} \log (1-2 x) \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0179558, antiderivative size = 16, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ -\frac{5 x}{2}-\frac{11}{4} \log (1-2 x) \]
Antiderivative was successfully verified.
[In] Int[(3 + 5*x)/(1 - 2*x),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{11 \log{\left (- 2 x + 1 \right )}}{4} + \int \left (- \frac{5}{2}\right )\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((3+5*x)/(1-2*x),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00441257, size = 17, normalized size = 1.06 \[ \frac{1}{4} (-10 x-11 \log (1-2 x)+5) \]
Antiderivative was successfully verified.
[In] Integrate[(3 + 5*x)/(1 - 2*x),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.003, size = 13, normalized size = 0.8 \[ -{\frac{5\,x}{2}}-{\frac{11\,\ln \left ( -1+2\,x \right ) }{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((3+5*x)/(1-2*x),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.34362, size = 16, normalized size = 1. \[ -\frac{5}{2} \, x - \frac{11}{4} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)/(2*x - 1),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.212593, size = 16, normalized size = 1. \[ -\frac{5}{2} \, x - \frac{11}{4} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)/(2*x - 1),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.145218, size = 15, normalized size = 0.94 \[ - \frac{5 x}{2} - \frac{11 \log{\left (2 x - 1 \right )}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((3+5*x)/(1-2*x),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.209935, size = 18, normalized size = 1.12 \[ -\frac{5}{2} \, x - \frac{11}{4} \,{\rm ln}\left ({\left | 2 \, x - 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)/(2*x - 1),x, algorithm="giac")
[Out]