Optimal. Leaf size=52 \[ \frac{64 x^9}{9}-30 x^8+\frac{353 x^7}{7}+24 x^6-\frac{528 x^5}{5}+36 x^4+\frac{704 x^3}{3}+192 x^2+64 x \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0353111, antiderivative size = 52, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 22, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.045 \[ \frac{64 x^9}{9}-30 x^8+\frac{353 x^7}{7}+24 x^6-\frac{528 x^5}{5}+36 x^4+\frac{704 x^3}{3}+192 x^2+64 x \]
Antiderivative was successfully verified.
[In] Int[(8 + 24*x + 8*x^2 - 15*x^3 + 8*x^4)^2,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 50.0146, size = 49, normalized size = 0.94 \[ \frac{64 x^{9}}{9} - 30 x^{8} + \frac{353 x^{7}}{7} + 24 x^{6} - \frac{528 x^{5}}{5} + 36 x^{4} + \frac{704 x^{3}}{3} + 192 x^{2} + 64 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((8*x**4-15*x**3+8*x**2+24*x+8)**2,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00175255, size = 52, normalized size = 1. \[ \frac{64 x^9}{9}-30 x^8+\frac{353 x^7}{7}+24 x^6-\frac{528 x^5}{5}+36 x^4+\frac{704 x^3}{3}+192 x^2+64 x \]
Antiderivative was successfully verified.
[In] Integrate[(8 + 24*x + 8*x^2 - 15*x^3 + 8*x^4)^2,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.002, size = 45, normalized size = 0.9 \[ 64\,x+192\,{x}^{2}+{\frac{704\,{x}^{3}}{3}}+36\,{x}^{4}-{\frac{528\,{x}^{5}}{5}}+24\,{x}^{6}+{\frac{353\,{x}^{7}}{7}}-30\,{x}^{8}+{\frac{64\,{x}^{9}}{9}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((8*x^4-15*x^3+8*x^2+24*x+8)^2,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 0.800497, size = 59, normalized size = 1.13 \[ \frac{64}{9} \, x^{9} - 30 \, x^{8} + \frac{353}{7} \, x^{7} + 24 \, x^{6} - \frac{528}{5} \, x^{5} + 36 \, x^{4} + \frac{704}{3} \, x^{3} + 192 \, x^{2} + 64 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8)^2,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.224085, size = 1, normalized size = 0.02 \[ \frac{64}{9} x^{9} - 30 x^{8} + \frac{353}{7} x^{7} + 24 x^{6} - \frac{528}{5} x^{5} + 36 x^{4} + \frac{704}{3} x^{3} + 192 x^{2} + 64 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8)^2,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.085883, size = 49, normalized size = 0.94 \[ \frac{64 x^{9}}{9} - 30 x^{8} + \frac{353 x^{7}}{7} + 24 x^{6} - \frac{528 x^{5}}{5} + 36 x^{4} + \frac{704 x^{3}}{3} + 192 x^{2} + 64 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((8*x**4-15*x**3+8*x**2+24*x+8)**2,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.260312, size = 59, normalized size = 1.13 \[ \frac{64}{9} \, x^{9} - 30 \, x^{8} + \frac{353}{7} \, x^{7} + 24 \, x^{6} - \frac{528}{5} \, x^{5} + 36 \, x^{4} + \frac{704}{3} \, x^{3} + 192 \, x^{2} + 64 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8)^2,x, algorithm="giac")
[Out]