Optimal. Leaf size=56 \[ -\frac{250 (3 x+2)^9}{2187}+\frac{1025 (3 x+2)^8}{1944}-\frac{185}{567} (3 x+2)^7+\frac{107 (3 x+2)^6}{1458}-\frac{7 (3 x+2)^5}{1215} \]
[Out]
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Rubi [A] time = 0.07451, antiderivative size = 56, 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 \[ -\frac{250 (3 x+2)^9}{2187}+\frac{1025 (3 x+2)^8}{1944}-\frac{185}{567} (3 x+2)^7+\frac{107 (3 x+2)^6}{1458}-\frac{7 (3 x+2)^5}{1215} \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)*(2 + 3*x)^4*(3 + 5*x)^3,x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - 2250 x^{9} - \frac{80325 x^{8}}{8} - \frac{127845 x^{7}}{7} - \frac{32453 x^{6}}{2} - \frac{25237 x^{5}}{5} + 3452 x^{4} + 4296 x^{3} + 432 x + 3888 \int x\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)*(2+3*x)**4*(3+5*x)**3,x)
[Out]
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Mathematica [A] time = 0.00295856, size = 52, normalized size = 0.93 \[ -2250 x^9-\frac{80325 x^8}{8}-\frac{127845 x^7}{7}-\frac{32453 x^6}{2}-\frac{25237 x^5}{5}+3452 x^4+4296 x^3+1944 x^2+432 x \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)*(2 + 3*x)^4*(3 + 5*x)^3,x]
[Out]
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Maple [A] time = 0.003, size = 45, normalized size = 0.8 \[ -2250\,{x}^{9}-{\frac{80325\,{x}^{8}}{8}}-{\frac{127845\,{x}^{7}}{7}}-{\frac{32453\,{x}^{6}}{2}}-{\frac{25237\,{x}^{5}}{5}}+3452\,{x}^{4}+4296\,{x}^{3}+1944\,{x}^{2}+432\,x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)*(2+3*x)^4*(3+5*x)^3,x)
[Out]
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Maxima [A] time = 1.3651, size = 59, normalized size = 1.05 \[ -2250 \, x^{9} - \frac{80325}{8} \, x^{8} - \frac{127845}{7} \, x^{7} - \frac{32453}{2} \, x^{6} - \frac{25237}{5} \, x^{5} + 3452 \, x^{4} + 4296 \, x^{3} + 1944 \, x^{2} + 432 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^4*(2*x - 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.185002, size = 1, normalized size = 0.02 \[ -2250 x^{9} - \frac{80325}{8} x^{8} - \frac{127845}{7} x^{7} - \frac{32453}{2} x^{6} - \frac{25237}{5} x^{5} + 3452 x^{4} + 4296 x^{3} + 1944 x^{2} + 432 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^4*(2*x - 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.099559, size = 49, normalized size = 0.88 \[ - 2250 x^{9} - \frac{80325 x^{8}}{8} - \frac{127845 x^{7}}{7} - \frac{32453 x^{6}}{2} - \frac{25237 x^{5}}{5} + 3452 x^{4} + 4296 x^{3} + 1944 x^{2} + 432 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)*(2+3*x)**4*(3+5*x)**3,x)
[Out]
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GIAC/XCAS [A] time = 0.210131, size = 59, normalized size = 1.05 \[ -2250 \, x^{9} - \frac{80325}{8} \, x^{8} - \frac{127845}{7} \, x^{7} - \frac{32453}{2} \, x^{6} - \frac{25237}{5} \, x^{5} + 3452 \, x^{4} + 4296 \, x^{3} + 1944 \, x^{2} + 432 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^3*(3*x + 2)^4*(2*x - 1),x, algorithm="giac")
[Out]