Optimal. Leaf size=64 \[ \frac{8}{5929 (1-2 x)}-\frac{27}{49 (3 x+2)}-\frac{125}{121 (5 x+3)}-\frac{1088 \log (1-2 x)}{456533}+\frac{1998}{343} \log (3 x+2)-\frac{7750 \log (5 x+3)}{1331} \]
[Out]
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Rubi [A] time = 0.0742677, antiderivative size = 64, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 22, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.045 \[ \frac{8}{5929 (1-2 x)}-\frac{27}{49 (3 x+2)}-\frac{125}{121 (5 x+3)}-\frac{1088 \log (1-2 x)}{456533}+\frac{1998}{343} \log (3 x+2)-\frac{7750 \log (5 x+3)}{1331} \]
Antiderivative was successfully verified.
[In] Int[1/((1 - 2*x)^2*(2 + 3*x)^2*(3 + 5*x)^2),x]
[Out]
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Rubi in Sympy [A] time = 10.0683, size = 49, normalized size = 0.77 \[ - \frac{1088 \log{\left (- 2 x + 1 \right )}}{456533} + \frac{1998 \log{\left (3 x + 2 \right )}}{343} - \frac{7750 \log{\left (5 x + 3 \right )}}{1331} - \frac{125}{121 \left (5 x + 3\right )} - \frac{27}{49 \left (3 x + 2\right )} + \frac{8}{5929 \left (- 2 x + 1\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(1-2*x)**2/(2+3*x)**2/(3+5*x)**2,x)
[Out]
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Mathematica [A] time = 0.088955, size = 59, normalized size = 0.92 \[ \frac{2 \left (-544 \log (1-2 x)+1329669 \log (6 x+4)+7 \left (\frac{44}{1-2 x}-\frac{35937}{6 x+4}-\frac{67375}{10 x+6}-189875 \log (10 x+6)\right )\right )}{456533} \]
Antiderivative was successfully verified.
[In] Integrate[1/((1 - 2*x)^2*(2 + 3*x)^2*(3 + 5*x)^2),x]
[Out]
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Maple [A] time = 0.019, size = 53, normalized size = 0.8 \[ -{\frac{125}{363+605\,x}}-{\frac{7750\,\ln \left ( 3+5\,x \right ) }{1331}}-{\frac{27}{98+147\,x}}+{\frac{1998\,\ln \left ( 2+3\,x \right ) }{343}}-{\frac{8}{-5929+11858\,x}}-{\frac{1088\,\ln \left ( -1+2\,x \right ) }{456533}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(1-2*x)^2/(2+3*x)^2/(3+5*x)^2,x)
[Out]
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Maxima [A] time = 1.35209, size = 73, normalized size = 1.14 \[ -\frac{69540 \, x^{2} + 9544 \, x - 22003}{5929 \,{\left (30 \, x^{3} + 23 \, x^{2} - 7 \, x - 6\right )}} - \frac{7750}{1331} \, \log \left (5 \, x + 3\right ) + \frac{1998}{343} \, \log \left (3 \, x + 2\right ) - \frac{1088}{456533} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/((5*x + 3)^2*(3*x + 2)^2*(2*x - 1)^2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.224926, size = 132, normalized size = 2.06 \[ -\frac{5354580 \, x^{2} + 2658250 \,{\left (30 \, x^{3} + 23 \, x^{2} - 7 \, x - 6\right )} \log \left (5 \, x + 3\right ) - 2659338 \,{\left (30 \, x^{3} + 23 \, x^{2} - 7 \, x - 6\right )} \log \left (3 \, x + 2\right ) + 1088 \,{\left (30 \, x^{3} + 23 \, x^{2} - 7 \, x - 6\right )} \log \left (2 \, x - 1\right ) + 734888 \, x - 1694231}{456533 \,{\left (30 \, x^{3} + 23 \, x^{2} - 7 \, x - 6\right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/((5*x + 3)^2*(3*x + 2)^2*(2*x - 1)^2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.528304, size = 54, normalized size = 0.84 \[ - \frac{69540 x^{2} + 9544 x - 22003}{177870 x^{3} + 136367 x^{2} - 41503 x - 35574} - \frac{1088 \log{\left (x - \frac{1}{2} \right )}}{456533} - \frac{7750 \log{\left (x + \frac{3}{5} \right )}}{1331} + \frac{1998 \log{\left (x + \frac{2}{3} \right )}}{343} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(1-2*x)**2/(2+3*x)**2/(3+5*x)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.208485, size = 104, normalized size = 1.62 \[ -\frac{125}{121 \,{\left (5 \, x + 3\right )}} + \frac{5 \,{\left (\frac{1185937}{5 \, x + 3} - 215574\right )}}{65219 \,{\left (\frac{11}{5 \, x + 3} - 2\right )}{\left (\frac{1}{5 \, x + 3} + 3\right )}} + \frac{1998}{343} \,{\rm ln}\left ({\left | -\frac{1}{5 \, x + 3} - 3 \right |}\right ) - \frac{1088}{456533} \,{\rm ln}\left ({\left | -\frac{11}{5 \, x + 3} + 2 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/((5*x + 3)^2*(3*x + 2)^2*(2*x - 1)^2),x, algorithm="giac")
[Out]