Optimal. Leaf size=34 \[ -\frac{10}{189} (3 x+2)^7+\frac{37}{162} (3 x+2)^6-\frac{7}{135} (3 x+2)^5 \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0506898, antiderivative size = 34, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 18, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.056 \[ -\frac{10}{189} (3 x+2)^7+\frac{37}{162} (3 x+2)^6-\frac{7}{135} (3 x+2)^5 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)*(2 + 3*x)^4*(3 + 5*x),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{810 x^{7}}{7} - \frac{747 x^{6}}{2} - \frac{2133 x^{5}}{5} - 132 x^{4} + \frac{392 x^{3}}{3} + 48 x + 272 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)*(2+3*x)**4*(3+5*x),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00184182, size = 42, normalized size = 1.24 \[ -\frac{810 x^7}{7}-\frac{747 x^6}{2}-\frac{2133 x^5}{5}-132 x^4+\frac{392 x^3}{3}+136 x^2+48 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)*(2 + 3*x)^4*(3 + 5*x),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.003, size = 35, normalized size = 1. \[ -{\frac{810\,{x}^{7}}{7}}-{\frac{747\,{x}^{6}}{2}}-{\frac{2133\,{x}^{5}}{5}}-132\,{x}^{4}+{\frac{392\,{x}^{3}}{3}}+136\,{x}^{2}+48\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)*(2+3*x)^4*(3+5*x),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.32825, size = 46, normalized size = 1.35 \[ -\frac{810}{7} \, x^{7} - \frac{747}{2} \, x^{6} - \frac{2133}{5} \, x^{5} - 132 \, x^{4} + \frac{392}{3} \, x^{3} + 136 \, x^{2} + 48 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)^4*(2*x - 1),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.189449, size = 1, normalized size = 0.03 \[ -\frac{810}{7} x^{7} - \frac{747}{2} x^{6} - \frac{2133}{5} x^{5} - 132 x^{4} + \frac{392}{3} x^{3} + 136 x^{2} + 48 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)^4*(2*x - 1),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.087149, size = 39, normalized size = 1.15 \[ - \frac{810 x^{7}}{7} - \frac{747 x^{6}}{2} - \frac{2133 x^{5}}{5} - 132 x^{4} + \frac{392 x^{3}}{3} + 136 x^{2} + 48 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)*(2+3*x)**4*(3+5*x),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.218004, size = 46, normalized size = 1.35 \[ -\frac{810}{7} \, x^{7} - \frac{747}{2} \, x^{6} - \frac{2133}{5} \, x^{5} - 132 \, x^{4} + \frac{392}{3} \, x^{3} + 136 \, x^{2} + 48 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)^4*(2*x - 1),x, algorithm="giac")
[Out]