Optimal. Leaf size=34 \[ -\frac{3}{8} (1-2 x)^5+\frac{17}{8} (1-2 x)^4-\frac{77}{24} (1-2 x)^3 \]
[Out]
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Rubi [A] time = 0.0463489, 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 \[ -\frac{3}{8} (1-2 x)^5+\frac{17}{8} (1-2 x)^4-\frac{77}{24} (1-2 x)^3 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^2*(2 + 3*x)*(3 + 5*x),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ 12 x^{5} + 4 x^{4} - \frac{37 x^{3}}{3} + 6 x - 5 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**2*(2+3*x)*(3+5*x),x)
[Out]
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Mathematica [A] time = 0.00136345, size = 28, normalized size = 0.82 \[ 12 x^5+4 x^4-\frac{37 x^3}{3}-\frac{5 x^2}{2}+6 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^2*(2 + 3*x)*(3 + 5*x),x]
[Out]
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Maple [A] time = 0.003, size = 25, normalized size = 0.7 \[ 12\,{x}^{5}+4\,{x}^{4}-{\frac{37\,{x}^{3}}{3}}-{\frac{5\,{x}^{2}}{2}}+6\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^2*(2+3*x)*(3+5*x),x)
[Out]
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Maxima [A] time = 1.32101, size = 32, normalized size = 0.94 \[ 12 \, x^{5} + 4 \, x^{4} - \frac{37}{3} \, x^{3} - \frac{5}{2} \, x^{2} + 6 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)*(3*x + 2)*(2*x - 1)^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.195971, size = 1, normalized size = 0.03 \[ 12 x^{5} + 4 x^{4} - \frac{37}{3} x^{3} - \frac{5}{2} x^{2} + 6 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)*(3*x + 2)*(2*x - 1)^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.070317, size = 26, normalized size = 0.76 \[ 12 x^{5} + 4 x^{4} - \frac{37 x^{3}}{3} - \frac{5 x^{2}}{2} + 6 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**2*(2+3*x)*(3+5*x),x)
[Out]
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GIAC/XCAS [A] time = 0.205351, size = 32, normalized size = 0.94 \[ 12 \, x^{5} + 4 \, x^{4} - \frac{37}{3} \, x^{3} - \frac{5}{2} \, x^{2} + 6 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((5*x + 3)*(3*x + 2)*(2*x - 1)^2,x, algorithm="giac")
[Out]