Optimal. Leaf size=11 \[ \log (2-x)+\log (x+5) \]
[Out]
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Rubi [A] time = 0.0182272, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 16, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.062 \[ \log (2-x)+\log (x+5) \]
Antiderivative was successfully verified.
[In] Int[(3 + 2*x)/((-2 + x)*(5 + x)),x]
[Out]
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Rubi in Sympy [A] time = 1.47666, size = 8, normalized size = 0.73 \[ \log{\left (- x + 2 \right )} + \log{\left (x + 5 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((3+2*x)/(-2+x)/(5+x),x)
[Out]
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Mathematica [A] time = 0.00550531, size = 9, normalized size = 0.82 \[ \log (x-2)+\log (x+5) \]
Antiderivative was successfully verified.
[In] Integrate[(3 + 2*x)/((-2 + x)*(5 + x)),x]
[Out]
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Maple [A] time = 0.002, size = 9, normalized size = 0.8 \[ \ln \left ( \left ( -2+x \right ) \left ( 5+x \right ) \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((3+2*x)/(-2+x)/(5+x),x)
[Out]
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Maxima [A] time = 1.34278, size = 12, normalized size = 1.09 \[ \log \left (x + 5\right ) + \log \left (x - 2\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x + 3)/((x + 5)*(x - 2)),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.18985, size = 12, normalized size = 1.09 \[ \log \left (x^{2} + 3 \, x - 10\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x + 3)/((x + 5)*(x - 2)),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.083926, size = 8, normalized size = 0.73 \[ \log{\left (x^{2} + 3 x - 10 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((3+2*x)/(-2+x)/(5+x),x)
[Out]
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GIAC/XCAS [A] time = 0.224585, size = 15, normalized size = 1.36 \[{\rm ln}\left ({\left | x + 5 \right |}\right ) +{\rm ln}\left ({\left | x - 2 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x + 3)/((x + 5)*(x - 2)),x, algorithm="giac")
[Out]