Optimal. Leaf size=45 \[ -\frac{5}{81} (3 x+2)^{10}+\frac{65}{243} (3 x+2)^9-\frac{1}{9} (3 x+2)^8+\frac{1}{81} (3 x+2)^7 \]
[Out]
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Rubi [A] time = 0.0776823, antiderivative size = 45, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.05 \[ -\frac{5}{81} (3 x+2)^{10}+\frac{65}{243} (3 x+2)^9-\frac{1}{9} (3 x+2)^8+\frac{1}{81} (3 x+2)^7 \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)*(2 + 3*x)^6*(3 + 5*x)^2,x]
[Out]
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Rubi in Sympy [A] time = 10.8991, size = 36, normalized size = 0.8 \[ - \frac{5 \left (3 x + 2\right )^{10}}{81} + \frac{65 \left (3 x + 2\right )^{9}}{243} - \frac{\left (3 x + 2\right )^{8}}{9} + \frac{\left (3 x + 2\right )^{7}}{81} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)*(2+3*x)**6*(3+5*x)**2,x)
[Out]
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Mathematica [A] time = 0.00301712, size = 51, normalized size = 1.13 \[ -3645 x^{10}-19035 x^9-42039 x^8-49221 x^7-29106 x^6-1764 x^5+10360 x^4+\frac{24112 x^3}{3}+2976 x^2+576 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)*(2 + 3*x)^6*(3 + 5*x)^2,x]
[Out]
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Maple [A] time = 0.003, size = 50, normalized size = 1.1 \[ -3645\,{x}^{10}-19035\,{x}^{9}-42039\,{x}^{8}-49221\,{x}^{7}-29106\,{x}^{6}-1764\,{x}^{5}+10360\,{x}^{4}+{\frac{24112\,{x}^{3}}{3}}+2976\,{x}^{2}+576\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)*(2+3*x)^6*(3+5*x)^2,x)
[Out]
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Maxima [A] time = 1.34851, size = 66, normalized size = 1.47 \[ -3645 \, x^{10} - 19035 \, x^{9} - 42039 \, x^{8} - 49221 \, x^{7} - 29106 \, x^{6} - 1764 \, x^{5} + 10360 \, x^{4} + \frac{24112}{3} \, x^{3} + 2976 \, x^{2} + 576 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^6*(2*x - 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.18564, size = 1, normalized size = 0.02 \[ -3645 x^{10} - 19035 x^{9} - 42039 x^{8} - 49221 x^{7} - 29106 x^{6} - 1764 x^{5} + 10360 x^{4} + \frac{24112}{3} x^{3} + 2976 x^{2} + 576 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^6*(2*x - 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.105273, size = 49, normalized size = 1.09 \[ - 3645 x^{10} - 19035 x^{9} - 42039 x^{8} - 49221 x^{7} - 29106 x^{6} - 1764 x^{5} + 10360 x^{4} + \frac{24112 x^{3}}{3} + 2976 x^{2} + 576 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)*(2+3*x)**6*(3+5*x)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.211449, size = 66, normalized size = 1.47 \[ -3645 \, x^{10} - 19035 \, x^{9} - 42039 \, x^{8} - 49221 \, x^{7} - 29106 \, x^{6} - 1764 \, x^{5} + 10360 \, x^{4} + \frac{24112}{3} \, x^{3} + 2976 \, x^{2} + 576 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^6*(2*x - 1),x, algorithm="giac")
[Out]