Optimal. Leaf size=19 \[ \frac{7}{11} \log (3-2 x)-\frac{7}{11} \log (x+4) \]
[Out]
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Rubi [A] time = 0.0137621, antiderivative size = 19, normalized size of antiderivative = 1., number of steps used = 4, number of rules used = 3, integrand size = 14, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.214 \[ \frac{7}{11} \log (3-2 x)-\frac{7}{11} \log (x+4) \]
Antiderivative was successfully verified.
[In] Int[7/(-12 + 5*x + 2*x^2),x]
[Out]
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Rubi in Sympy [A] time = 1.52941, size = 17, normalized size = 0.89 \[ \frac{7 \log{\left (- 2 x + 3 \right )}}{11} - \frac{7 \log{\left (x + 4 \right )}}{11} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(7/(2*x**2+5*x-12),x)
[Out]
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Mathematica [A] time = 0.00472871, size = 21, normalized size = 1.11 \[ 7 \left (\frac{1}{11} \log (3-2 x)-\frac{1}{11} \log (x+4)\right ) \]
Antiderivative was successfully verified.
[In] Integrate[7/(-12 + 5*x + 2*x^2),x]
[Out]
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Maple [A] time = 0.009, size = 16, normalized size = 0.8 \[ -{\frac{7\,\ln \left ( 4+x \right ) }{11}}+{\frac{7\,\ln \left ( -3+2\,x \right ) }{11}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(7/(2*x^2+5*x-12),x)
[Out]
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Maxima [A] time = 1.34806, size = 20, normalized size = 1.05 \[ \frac{7}{11} \, \log \left (2 \, x - 3\right ) - \frac{7}{11} \, \log \left (x + 4\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(7/(2*x^2 + 5*x - 12),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.199643, size = 20, normalized size = 1.05 \[ \frac{7}{11} \, \log \left (2 \, x - 3\right ) - \frac{7}{11} \, \log \left (x + 4\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(7/(2*x^2 + 5*x - 12),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.091085, size = 17, normalized size = 0.89 \[ \frac{7 \log{\left (x - \frac{3}{2} \right )}}{11} - \frac{7 \log{\left (x + 4 \right )}}{11} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(7/(2*x**2+5*x-12),x)
[Out]
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GIAC/XCAS [A] time = 0.204714, size = 23, normalized size = 1.21 \[ \frac{7}{11} \,{\rm ln}\left ({\left | 2 \, x - 3 \right |}\right ) - \frac{7}{11} \,{\rm ln}\left ({\left | x + 4 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(7/(2*x^2 + 5*x - 12),x, algorithm="giac")
[Out]