Optimal. Leaf size=20 \[ \text{Unintegrable}\left (\frac{a+b \tanh (e+f x)}{c+d x},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0309777, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int \frac{a+b \tanh (e+f x)}{c+d x} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{a+b \tanh (e+f x)}{c+d x} \, dx &=\int \frac{a+b \tanh (e+f x)}{c+d x} \, dx\\ \end{align*}
Mathematica [A] time = 4.13493, size = 0, normalized size = 0. \[ \int \frac{a+b \tanh (e+f x)}{c+d x} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.122, size = 0, normalized size = 0. \begin{align*} \int{\frac{a+b\tanh \left ( fx+e \right ) }{dx+c}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} b{\left (\frac{\log \left (d x + c\right )}{d} - 2 \, \int \frac{1}{d x +{\left (d x e^{\left (2 \, e\right )} + c e^{\left (2 \, e\right )}\right )} e^{\left (2 \, f x\right )} + c}\,{d x}\right )} + \frac{a \log \left (d x + c\right )}{d} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{b \tanh \left (f x + e\right ) + a}{d x + c}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{a + b \tanh{\left (e + f x \right )}}{c + d x}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{b \tanh \left (f x + e\right ) + a}{d x + c}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]