Optimal. Leaf size=21 \[ \text{CannotIntegrate}\left (\frac{e^{\frac{e}{(c+d x)^2}}}{(a+b x)^2},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0575595, 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 = {} \[ \int \frac{e^{\frac{e}{(c+d x)^2}}}{(a+b x)^2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{e^{\frac{e}{(c+d x)^2}}}{(a+b x)^2} \, dx &=\int \frac{e^{\frac{e}{(c+d x)^2}}}{(a+b x)^2} \, dx\\ \end{align*}
Mathematica [A] time = 0.216188, size = 0, normalized size = 0. \[ \int \frac{e^{\frac{e}{(c+d x)^2}}}{(a+b x)^2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.103, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{ \left ( bx+a \right ) ^{2}}{{\rm e}^{{\frac{e}{ \left ( dx+c \right ) ^{2}}}}}}\, 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*} \int \frac{e^{\left (\frac{e}{{\left (d x + c\right )}^{2}}\right )}}{{\left (b x + a\right )}^{2}}\,{d x} \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{e^{\left (\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right )}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \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*} \mathit{undef} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]