Optimal. Leaf size=23 \[ \frac{1}{4} (1-2 x)^5-\frac{11}{16} (1-2 x)^4 \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0203887, antiderivative size = 23, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ \frac{1}{4} (1-2 x)^5-\frac{11}{16} (1-2 x)^4 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^3*(3 + 5*x),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - 8 x^{5} + 9 x^{4} + 2 x^{3} + 3 x - 13 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**3*(3+5*x),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.0014588, size = 26, normalized size = 1.13 \[ -8 x^5+9 x^4+2 x^3-\frac{13 x^2}{2}+3 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^3*(3 + 5*x),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.001, size = 25, normalized size = 1.1 \[ -8\,{x}^{5}+9\,{x}^{4}+2\,{x}^{3}-{\frac{13\,{x}^{2}}{2}}+3\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^3*(3+5*x),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.34143, size = 32, normalized size = 1.39 \[ -8 \, x^{5} + 9 \, x^{4} + 2 \, x^{3} - \frac{13}{2} \, x^{2} + 3 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(2*x - 1)^3,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.183383, size = 1, normalized size = 0.04 \[ -8 x^{5} + 9 x^{4} + 2 x^{3} - \frac{13}{2} x^{2} + 3 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(2*x - 1)^3,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.076498, size = 24, normalized size = 1.04 \[ - 8 x^{5} + 9 x^{4} + 2 x^{3} - \frac{13 x^{2}}{2} + 3 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**3*(3+5*x),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.207287, size = 32, normalized size = 1.39 \[ -8 \, x^{5} + 9 \, x^{4} + 2 \, x^{3} - \frac{13}{2} \, x^{2} + 3 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(2*x - 1)^3,x, algorithm="giac")
[Out]