Optimal. Leaf size=11 \[ \log (2-x)+\log (x+5) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0049503, 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, Rules used = {72} \[ \log (2-x)+\log (x+5) \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 72
Rubi steps
\begin{align*} \int \frac{3+2 x}{(-2+x) (5+x)} \, dx &=\int \left (\frac{1}{-2+x}+\frac{1}{5+x}\right ) \, dx\\ &=\log (2-x)+\log (5+x)\\ \end{align*}
Mathematica [A] time = 0.0037906, size = 9, normalized size = 0.82 \[ \log (x-2)+\log (x+5) \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.001, size = 9, normalized size = 0.8 \begin{align*} \ln \left ( \left ( -2+x \right ) \left ( 5+x \right ) \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 1.00099, size = 12, normalized size = 1.09 \begin{align*} \log \left (x + 5\right ) + \log \left (x - 2\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0.973725, size = 28, normalized size = 2.55 \begin{align*} \log \left (x^{2} + 3 \, x - 10\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.08384, size = 8, normalized size = 0.73 \begin{align*} \log{\left (x^{2} + 3 x - 10 \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.12288, size = 15, normalized size = 1.36 \begin{align*} \log \left ({\left | x + 5 \right |}\right ) + \log \left ({\left | x - 2 \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]