Optimal. Leaf size=17 \[ -\frac{a}{8 x^8}-\frac{b}{4 x^4} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0128003, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ -\frac{a}{8 x^8}-\frac{b}{4 x^4} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^4)/x^9,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 2.95685, size = 14, normalized size = 0.82 \[ - \frac{a}{8 x^{8}} - \frac{b}{4 x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**4+a)/x**9,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00360173, size = 17, normalized size = 1. \[ -\frac{a}{8 x^8}-\frac{b}{4 x^4} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^4)/x^9,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.006, size = 14, normalized size = 0.8 \[ -{\frac{a}{8\,{x}^{8}}}-{\frac{b}{4\,{x}^{4}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^4+a)/x^9,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.44623, size = 18, normalized size = 1.06 \[ -\frac{2 \, b x^{4} + a}{8 \, x^{8}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^9,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.219109, size = 18, normalized size = 1.06 \[ -\frac{2 \, b x^{4} + a}{8 \, x^{8}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^9,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 1.19651, size = 14, normalized size = 0.82 \[ - \frac{a + 2 b x^{4}}{8 x^{8}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**4+a)/x**9,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.219892, size = 18, normalized size = 1.06 \[ -\frac{2 \, b x^{4} + a}{8 \, x^{8}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^9,x, algorithm="giac")
[Out]