Optimal. Leaf size=17 \[ -\frac{a}{3 x^3}-\frac{b}{2 x^2} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0145026, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111 \[ -\frac{a}{3 x^3}-\frac{b}{2 x^2} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x)/x^4,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 2.53299, size = 14, normalized size = 0.82 \[ - \frac{a}{3 x^{3}} - \frac{b}{2 x^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x+a)/x**4,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00279633, size = 17, normalized size = 1. \[ -\frac{a}{3 x^3}-\frac{b}{2 x^2} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x)/x^4,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.007, size = 14, normalized size = 0.8 \[ -{\frac{a}{3\,{x}^{3}}}-{\frac{b}{2\,{x}^{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x+a)/x^4,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.44602, size = 18, normalized size = 1.06 \[ -\frac{3 \, b x + 2 \, a}{6 \, x^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)/x^4,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.188437, size = 18, normalized size = 1.06 \[ -\frac{3 \, b x + 2 \, a}{6 \, x^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)/x^4,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 1.07389, size = 14, normalized size = 0.82 \[ - \frac{2 a + 3 b x}{6 x^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x+a)/x**4,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.207929, size = 18, normalized size = 1.06 \[ -\frac{3 \, b x + 2 \, a}{6 \, x^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)/x^4,x, algorithm="giac")
[Out]