Optimal. Leaf size=34 \[ -\frac{5}{8} (1-2 x)^5+\frac{55}{16} (1-2 x)^4-\frac{121}{24} (1-2 x)^3 \]
[Out]
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Rubi [A] time = 0.0331755, antiderivative size = 34, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.067 \[ -\frac{5}{8} (1-2 x)^5+\frac{55}{16} (1-2 x)^4-\frac{121}{24} (1-2 x)^3 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^2*(3 + 5*x)^2,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ 20 x^{5} + 5 x^{4} - \frac{59 x^{3}}{3} + 9 x - 6 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**2*(3+5*x)**2,x)
[Out]
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Mathematica [A] time = 0.00114522, size = 26, normalized size = 0.76 \[ 20 x^5+5 x^4-\frac{59 x^3}{3}-3 x^2+9 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^2*(3 + 5*x)^2,x]
[Out]
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Maple [A] time = 0.002, size = 25, normalized size = 0.7 \[ 20\,{x}^{5}+5\,{x}^{4}-{\frac{59\,{x}^{3}}{3}}-3\,{x}^{2}+9\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^2*(3+5*x)^2,x)
[Out]
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Maxima [A] time = 1.34856, size = 32, normalized size = 0.94 \[ 20 \, x^{5} + 5 \, x^{4} - \frac{59}{3} \, x^{3} - 3 \, x^{2} + 9 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^2*(2*x - 1)^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.18651, size = 1, normalized size = 0.03 \[ 20 x^{5} + 5 x^{4} - \frac{59}{3} x^{3} - 3 x^{2} + 9 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^2*(2*x - 1)^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.074949, size = 24, normalized size = 0.71 \[ 20 x^{5} + 5 x^{4} - \frac{59 x^{3}}{3} - 3 x^{2} + 9 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**2*(3+5*x)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.211842, size = 32, normalized size = 0.94 \[ 20 \, x^{5} + 5 \, x^{4} - \frac{59}{3} \, x^{3} - 3 \, x^{2} + 9 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)^2*(2*x - 1)^2,x, algorithm="giac")
[Out]