Optimal. Leaf size=13 \[ \text{Int}\left (f\left (\frac{x}{a+b x}\right ),x\right ) \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0151675, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \text{Int}\left (f\left (\frac{x}{a+b x}\right ),x\right ) \]
Verification is Not applicable to the result.
[In] Int[f[x/(a + b*x)],x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{x}{a + b x} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(F(x/(b*x+a)),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00634846, size = 0, normalized size = 0. \[ \int f\left (\frac{x}{a+b x}\right ) \, dx \]
Verification is Not applicable to the result.
[In] Integrate[f[x/(a + b*x)],x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0., size = 0, normalized size = 0. \[ \int f \left ({\frac{x}{bx+a}} \right ) \, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(f(x/(b*x+a)),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{x}{b x + a}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x/(b*x + a)),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [F(-2)] time = 0., size = 0, normalized size = 0. \[ \text{Exception raised: TypeError} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x/(b*x + a)),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{x}{a + b x} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x/(b*x+a)),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{x}{b x + a}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x/(b*x + a)),x, algorithm="giac")
[Out]