Optimal. Leaf size=15 \[ -\frac{a}{4 x^4}-\frac{b}{x} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0130067, antiderivative size = 15, 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 \[ -\frac{a}{4 x^4}-\frac{b}{x} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^3)/x^5,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 2.93023, size = 10, normalized size = 0.67 \[ - \frac{a}{4 x^{4}} - \frac{b}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**3+a)/x**5,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00348301, size = 15, normalized size = 1. \[ -\frac{a}{4 x^4}-\frac{b}{x} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^3)/x^5,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.006, size = 14, normalized size = 0.9 \[ -{\frac{a}{4\,{x}^{4}}}-{\frac{b}{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^3+a)/x^5,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.43768, size = 18, normalized size = 1.2 \[ -\frac{4 \, b x^{3} + a}{4 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^5,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.210331, size = 18, normalized size = 1.2 \[ -\frac{4 \, b x^{3} + a}{4 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^5,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 1.14706, size = 14, normalized size = 0.93 \[ - \frac{a + 4 b x^{3}}{4 x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**3+a)/x**5,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.213547, size = 18, normalized size = 1.2 \[ -\frac{4 \, b x^{3} + a}{4 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^3 + a)/x^5,x, algorithm="giac")
[Out]