Optimal. Leaf size=45 \[ -\frac{18 (5 x+3)^7}{4375}+\frac{29 (5 x+3)^6}{1250}+\frac{64 (5 x+3)^5}{3125}+\frac{11 (5 x+3)^4}{2500} \]
[Out]
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Rubi [A] time = 0.0631541, 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 \[ -\frac{18 (5 x+3)^7}{4375}+\frac{29 (5 x+3)^6}{1250}+\frac{64 (5 x+3)^5}{3125}+\frac{11 (5 x+3)^4}{2500} \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)^3,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{2250 x^{7}}{7} - \frac{1975 x^{6}}{2} - 1061 x^{5} - \frac{1111 x^{4}}{4} + 345 x^{3} + 108 x + 648 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)*(2+3*x)**2*(3+5*x)**3,x)
[Out]
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Mathematica [A] time = 0.00163991, size = 40, normalized size = 0.89 \[ -\frac{2250 x^7}{7}-\frac{1975 x^6}{2}-1061 x^5-\frac{1111 x^4}{4}+345 x^3+324 x^2+108 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)^3,x]
[Out]
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Maple [A] time = 0.003, size = 35, normalized size = 0.8 \[ -{\frac{2250\,{x}^{7}}{7}}-{\frac{1975\,{x}^{6}}{2}}-1061\,{x}^{5}-{\frac{1111\,{x}^{4}}{4}}+345\,{x}^{3}+324\,{x}^{2}+108\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)*(2+3*x)^2*(3+5*x)^3,x)
[Out]
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Maxima [A] time = 1.34896, size = 46, normalized size = 1.02 \[ -\frac{2250}{7} \, x^{7} - \frac{1975}{2} \, x^{6} - 1061 \, x^{5} - \frac{1111}{4} \, x^{4} + 345 \, x^{3} + 324 \, x^{2} + 108 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^2*(2*x - 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.187085, size = 1, normalized size = 0.02 \[ -\frac{2250}{7} x^{7} - \frac{1975}{2} x^{6} - 1061 x^{5} - \frac{1111}{4} x^{4} + 345 x^{3} + 324 x^{2} + 108 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^2*(2*x - 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.084344, size = 37, normalized size = 0.82 \[ - \frac{2250 x^{7}}{7} - \frac{1975 x^{6}}{2} - 1061 x^{5} - \frac{1111 x^{4}}{4} + 345 x^{3} + 324 x^{2} + 108 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)*(2+3*x)**2*(3+5*x)**3,x)
[Out]
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GIAC/XCAS [A] time = 0.208869, size = 46, normalized size = 1.02 \[ -\frac{2250}{7} \, x^{7} - \frac{1975}{2} \, x^{6} - 1061 \, x^{5} - \frac{1111}{4} \, x^{4} + 345 \, x^{3} + 324 \, x^{2} + 108 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^2*(2*x - 1),x, algorithm="giac")
[Out]