Optimal. Leaf size=10 \[ 6+e^{15}+x+\log (2 x) \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 4, normalized size of antiderivative = 0.40, number of steps used = 2, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {43} \begin {gather*} x+\log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 43
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (1+\frac {1}{x}\right ) \, dx\\ &=x+\log (x)\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 4, normalized size = 0.40 \begin {gather*} x+\log (x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.74, size = 4, normalized size = 0.40 \begin {gather*} x + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.37, size = 5, normalized size = 0.50 \begin {gather*} x + \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.01, size = 5, normalized size = 0.50
method | result | size |
default | \(x +\ln \relax (x )\) | \(5\) |
norman | \(x +\ln \relax (x )\) | \(5\) |
risch | \(x +\ln \relax (x )\) | \(5\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.39, size = 4, normalized size = 0.40 \begin {gather*} x + \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.01, size = 4, normalized size = 0.40 \begin {gather*} x+\ln \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.06, size = 3, normalized size = 0.30 \begin {gather*} x + \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________