Optimal. Leaf size=34 \[ -\frac{2}{27} (3 x+2)^5+\frac{37}{108} (3 x+2)^4-\frac{7}{81} (3 x+2)^3 \]
[Out]
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Rubi [A] time = 0.044589, 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 \[ -\frac{2}{27} (3 x+2)^5+\frac{37}{108} (3 x+2)^4-\frac{7}{81} (3 x+2)^3 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - 18 x^{5} - \frac{129 x^{4}}{4} - \frac{25 x^{3}}{3} + 12 x + 32 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)*(2+3*x)**2*(3+5*x),x)
[Out]
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Mathematica [A] time = 0.00138809, size = 28, normalized size = 0.82 \[ -18 x^5-\frac{129 x^4}{4}-\frac{25 x^3}{3}+16 x^2+12 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x),x]
[Out]
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Maple [A] time = 0.001, size = 25, normalized size = 0.7 \[ -18\,{x}^{5}-{\frac{129\,{x}^{4}}{4}}-{\frac{25\,{x}^{3}}{3}}+16\,{x}^{2}+12\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)*(2+3*x)^2*(3+5*x),x)
[Out]
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Maxima [A] time = 1.35232, size = 32, normalized size = 0.94 \[ -18 \, x^{5} - \frac{129}{4} \, x^{4} - \frac{25}{3} \, x^{3} + 16 \, x^{2} + 12 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)^2*(2*x - 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.186526, size = 1, normalized size = 0.03 \[ -18 x^{5} - \frac{129}{4} x^{4} - \frac{25}{3} x^{3} + 16 x^{2} + 12 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)^2*(2*x - 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.075215, size = 26, normalized size = 0.76 \[ - 18 x^{5} - \frac{129 x^{4}}{4} - \frac{25 x^{3}}{3} + 16 x^{2} + 12 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)*(2+3*x)**2*(3+5*x),x)
[Out]
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GIAC/XCAS [A] time = 0.234392, size = 32, normalized size = 0.94 \[ -18 \, x^{5} - \frac{129}{4} \, x^{4} - \frac{25}{3} \, x^{3} + 16 \, x^{2} + 12 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)*(3*x + 2)^2*(2*x - 1),x, algorithm="giac")
[Out]