Optimal. Leaf size=10 \[ \frac{\log (c+d x)}{d} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0014583, antiderivative size = 10, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143, Rules used = {31} \[ \frac{\log (c+d x)}{d} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 31
Rubi steps
\begin{align*} \int \frac{1}{c+d x} \, dx &=\frac{\log (c+d x)}{d}\\ \end{align*}
Mathematica [A] time = 0.000797, size = 10, normalized size = 1. \[ \frac{\log (c+d x)}{d} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.001, size = 11, normalized size = 1.1 \begin{align*}{\frac{\ln \left ( dx+c \right ) }{d}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.956083, size = 14, normalized size = 1.4 \begin{align*} \frac{\log \left (d x + c\right )}{d} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 1.73254, size = 22, normalized size = 2.2 \begin{align*} \frac{\log \left (d x + c\right )}{d} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.055457, size = 7, normalized size = 0.7 \begin{align*} \frac{\log{\left (c + d x \right )}}{d} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.05921, size = 15, normalized size = 1.5 \begin{align*} \frac{\log \left ({\left | d x + c \right |}\right )}{d} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]