Optimal. Leaf size=15 \[ 1+e^8+\frac {9}{x^2}+2 x+\log (x) \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.73, number of steps used = 2, number of rules used = 1, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.071, Rules used = {14} \begin {gather*} \frac {9}{x^2}+2 x+\log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (2-\frac {18}{x^3}+\frac {1}{x}\right ) \, dx\\ &=\frac {9}{x^2}+2 x+\log (x)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 11, normalized size = 0.73 \begin {gather*} \frac {9}{x^2}+2 x+\log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.44, size = 17, normalized size = 1.13 \begin {gather*} \frac {2 \, x^{3} + x^{2} \log \relax (x) + 9}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.12, size = 12, normalized size = 0.80 \begin {gather*} 2 \, x + \frac {9}{x^{2}} + \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.04, size = 12, normalized size = 0.80
method | result | size |
default | \(2 x +\frac {9}{x^{2}}+\ln \relax (x )\) | \(12\) |
risch | \(2 x +\frac {9}{x^{2}}+\ln \relax (x )\) | \(12\) |
norman | \(\frac {2 x^{3}+9}{x^{2}}+\ln \relax (x )\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.35, size = 11, normalized size = 0.73 \begin {gather*} 2 \, x + \frac {9}{x^{2}} + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.03, size = 11, normalized size = 0.73 \begin {gather*} 2\,x+\ln \relax (x)+\frac {9}{x^2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.07, size = 10, normalized size = 0.67 \begin {gather*} 2 x + \log {\relax (x )} + \frac {9}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________