Optimal. Leaf size=28 \[ \frac{7}{3 (3 x+2)}-11 \log (3 x+2)+11 \log (5 x+3) \]
[Out]
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Rubi [A] time = 0.0374857, antiderivative size = 28, 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 \[ \frac{7}{3 (3 x+2)}-11 \log (3 x+2)+11 \log (5 x+3) \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)/((2 + 3*x)^2*(3 + 5*x)),x]
[Out]
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Rubi in Sympy [A] time = 5.6612, size = 22, normalized size = 0.79 \[ - 11 \log{\left (3 x + 2 \right )} + 11 \log{\left (5 x + 3 \right )} + \frac{7}{3 \left (3 x + 2\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)/(2+3*x)**2/(3+5*x),x)
[Out]
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Mathematica [A] time = 0.0237171, size = 38, normalized size = 1.36 \[ \frac{-33 (3 x+2) \log (3 x+2)+33 (3 x+2) \log (-3 (5 x+3))+7}{9 x+6} \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)/((2 + 3*x)^2*(3 + 5*x)),x]
[Out]
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Maple [A] time = 0.01, size = 27, normalized size = 1. \[{\frac{7}{6+9\,x}}-11\,\ln \left ( 2+3\,x \right ) +11\,\ln \left ( 3+5\,x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)/(2+3*x)^2/(3+5*x),x)
[Out]
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Maxima [A] time = 1.34823, size = 35, normalized size = 1.25 \[ \frac{7}{3 \,{\left (3 \, x + 2\right )}} + 11 \, \log \left (5 \, x + 3\right ) - 11 \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)/((5*x + 3)*(3*x + 2)^2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.208691, size = 50, normalized size = 1.79 \[ \frac{33 \,{\left (3 \, x + 2\right )} \log \left (5 \, x + 3\right ) - 33 \,{\left (3 \, x + 2\right )} \log \left (3 \, x + 2\right ) + 7}{3 \,{\left (3 \, x + 2\right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)/((5*x + 3)*(3*x + 2)^2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.252923, size = 22, normalized size = 0.79 \[ 11 \log{\left (x + \frac{3}{5} \right )} - 11 \log{\left (x + \frac{2}{3} \right )} + \frac{7}{9 x + 6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)/(2+3*x)**2/(3+5*x),x)
[Out]
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GIAC/XCAS [A] time = 0.212533, size = 34, normalized size = 1.21 \[ \frac{7}{3 \,{\left (3 \, x + 2\right )}} + 11 \,{\rm ln}\left ({\left | -\frac{1}{3 \, x + 2} + 5 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(2*x - 1)/((5*x + 3)*(3*x + 2)^2),x, algorithm="giac")
[Out]