Optimal. Leaf size=17 \[ -\frac{a}{9 x^9}-\frac{b}{5 x^5} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.013565, 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 \[ -\frac{a}{9 x^9}-\frac{b}{5 x^5} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^4)/x^10,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 2.97977, size = 14, normalized size = 0.82 \[ - \frac{a}{9 x^{9}} - \frac{b}{5 x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**4+a)/x**10,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00354381, size = 17, normalized size = 1. \[ -\frac{a}{9 x^9}-\frac{b}{5 x^5} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^4)/x^10,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.008, size = 14, normalized size = 0.8 \[ -{\frac{a}{9\,{x}^{9}}}-{\frac{b}{5\,{x}^{5}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^4+a)/x^10,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.44104, size = 20, normalized size = 1.18 \[ -\frac{9 \, b x^{4} + 5 \, a}{45 \, x^{9}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^10,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.219002, size = 20, normalized size = 1.18 \[ -\frac{9 \, b x^{4} + 5 \, a}{45 \, x^{9}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^10,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 1.25559, size = 15, normalized size = 0.88 \[ - \frac{5 a + 9 b x^{4}}{45 x^{9}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**4+a)/x**10,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.23623, size = 20, normalized size = 1.18 \[ -\frac{9 \, b x^{4} + 5 \, a}{45 \, x^{9}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^10,x, algorithm="giac")
[Out]