Optimal. Leaf size=46 \[ -\frac{154}{3 x+2}-\frac{121}{5 x+3}-\frac{49}{6 (3 x+2)^2}+1133 \log (3 x+2)-1133 \log (5 x+3) \]
[Out]
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Rubi [A] time = 0.0584667, antiderivative size = 46, 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 \[ -\frac{154}{3 x+2}-\frac{121}{5 x+3}-\frac{49}{6 (3 x+2)^2}+1133 \log (3 x+2)-1133 \log (5 x+3) \]
Antiderivative was successfully verified.
[In] Int[(1 - 2*x)^2/((2 + 3*x)^3*(3 + 5*x)^2),x]
[Out]
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Rubi in Sympy [A] time = 8.4603, size = 39, normalized size = 0.85 \[ 1133 \log{\left (3 x + 2 \right )} - 1133 \log{\left (5 x + 3 \right )} - \frac{121}{5 x + 3} - \frac{154}{3 x + 2} - \frac{49}{6 \left (3 x + 2\right )^{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1-2*x)**2/(2+3*x)**3/(3+5*x)**2,x)
[Out]
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Mathematica [A] time = 0.0443423, size = 48, normalized size = 1.04 \[ -\frac{154}{3 x+2}-\frac{121}{5 x+3}-\frac{49}{6 (3 x+2)^2}+1133 \log (5 (3 x+2))-1133 \log (5 x+3) \]
Antiderivative was successfully verified.
[In] Integrate[(1 - 2*x)^2/((2 + 3*x)^3*(3 + 5*x)^2),x]
[Out]
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Maple [A] time = 0.013, size = 45, normalized size = 1. \[ -{\frac{49}{6\, \left ( 2+3\,x \right ) ^{2}}}-154\, \left ( 2+3\,x \right ) ^{-1}-121\, \left ( 3+5\,x \right ) ^{-1}+1133\,\ln \left ( 2+3\,x \right ) -1133\,\ln \left ( 3+5\,x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1-2*x)^2/(2+3*x)^3/(3+5*x)^2,x)
[Out]
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Maxima [A] time = 1.34401, size = 62, normalized size = 1.35 \[ -\frac{20394 \, x^{2} + 26513 \, x + 8595}{6 \,{\left (45 \, x^{3} + 87 \, x^{2} + 56 \, x + 12\right )}} - 1133 \, \log \left (5 \, x + 3\right ) + 1133 \, \log \left (3 \, x + 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)^2/((5*x + 3)^2*(3*x + 2)^3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.214423, size = 101, normalized size = 2.2 \[ -\frac{20394 \, x^{2} + 6798 \,{\left (45 \, x^{3} + 87 \, x^{2} + 56 \, x + 12\right )} \log \left (5 \, x + 3\right ) - 6798 \,{\left (45 \, x^{3} + 87 \, x^{2} + 56 \, x + 12\right )} \log \left (3 \, x + 2\right ) + 26513 \, x + 8595}{6 \,{\left (45 \, x^{3} + 87 \, x^{2} + 56 \, x + 12\right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)^2/((5*x + 3)^2*(3*x + 2)^3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.445857, size = 41, normalized size = 0.89 \[ - \frac{20394 x^{2} + 26513 x + 8595}{270 x^{3} + 522 x^{2} + 336 x + 72} - 1133 \log{\left (x + \frac{3}{5} \right )} + 1133 \log{\left (x + \frac{2}{3} \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1-2*x)**2/(2+3*x)**3/(3+5*x)**2,x)
[Out]
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GIAC/XCAS [A] time = 0.214179, size = 66, normalized size = 1.43 \[ -\frac{121}{5 \, x + 3} + \frac{35 \,{\left (\frac{202}{5 \, x + 3} + 501\right )}}{2 \,{\left (\frac{1}{5 \, x + 3} + 3\right )}^{2}} + 1133 \,{\rm ln}\left ({\left | -\frac{1}{5 \, x + 3} - 3 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x - 1)^2/((5*x + 3)^2*(3*x + 2)^3),x, algorithm="giac")
[Out]