Optimal. Leaf size=45 \[ -\frac{50}{729} (3 x+2)^9+\frac{65}{216} (3 x+2)^8-\frac{8}{63} (3 x+2)^7+\frac{7}{486} (3 x+2)^6 \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0715466, antiderivative size = 45, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.05 \[ -\frac{50}{729} (3 x+2)^9+\frac{65}{216} (3 x+2)^8-\frac{8}{63} (3 x+2)^7+\frac{7}{486} (3 x+2)^6 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)*(2 + 3*x)^5*(3 + 5*x)^2,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 10.3294, size = 39, normalized size = 0.87 \[ - \frac{50 \left (3 x + 2\right )^{9}}{729} + \frac{65 \left (3 x + 2\right )^{8}}{216} - \frac{8 \left (3 x + 2\right )^{7}}{63} + \frac{7 \left (3 x + 2\right )^{6}}{486} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)*(2+3*x)**5*(3+5*x)**2,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.0030904, size = 52, normalized size = 1.16 \[ -1350 x^9-\frac{49005 x^8}{8}-\frac{79434 x^7}{7}-\frac{20631 x^6}{2}-3390 x^5+2090 x^4+\frac{8240 x^3}{3}+1272 x^2+288 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)*(2 + 3*x)^5*(3 + 5*x)^2,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.003, size = 45, normalized size = 1. \[ -1350\,{x}^{9}-{\frac{49005\,{x}^{8}}{8}}-{\frac{79434\,{x}^{7}}{7}}-{\frac{20631\,{x}^{6}}{2}}-3390\,{x}^{5}+2090\,{x}^{4}+{\frac{8240\,{x}^{3}}{3}}+1272\,{x}^{2}+288\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)*(2+3*x)^5*(3+5*x)^2,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.34281, size = 59, normalized size = 1.31 \[ -1350 \, x^{9} - \frac{49005}{8} \, x^{8} - \frac{79434}{7} \, x^{7} - \frac{20631}{2} \, x^{6} - 3390 \, x^{5} + 2090 \, x^{4} + \frac{8240}{3} \, x^{3} + 1272 \, x^{2} + 288 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^5*(2*x - 1),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.175518, size = 1, normalized size = 0.02 \[ -1350 x^{9} - \frac{49005}{8} x^{8} - \frac{79434}{7} x^{7} - \frac{20631}{2} x^{6} - 3390 x^{5} + 2090 x^{4} + \frac{8240}{3} x^{3} + 1272 x^{2} + 288 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^5*(2*x - 1),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.099531, size = 49, normalized size = 1.09 \[ - 1350 x^{9} - \frac{49005 x^{8}}{8} - \frac{79434 x^{7}}{7} - \frac{20631 x^{6}}{2} - 3390 x^{5} + 2090 x^{4} + \frac{8240 x^{3}}{3} + 1272 x^{2} + 288 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)*(2+3*x)**5*(3+5*x)**2,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.204876, size = 59, normalized size = 1.31 \[ -1350 \, x^{9} - \frac{49005}{8} \, x^{8} - \frac{79434}{7} \, x^{7} - \frac{20631}{2} \, x^{6} - 3390 \, x^{5} + 2090 \, x^{4} + \frac{8240}{3} \, x^{3} + 1272 \, x^{2} + 288 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^5*(2*x - 1),x, algorithm="giac")
[Out]