44.19 Problem number 1259

\[ \int \frac {e^{-\frac {x}{\log \left (\frac {48 x}{4+3 x}\right )}} \left (1036+(-1036-777 x) \log \left (\frac {48 x}{4+3 x}\right )\right )}{(4+3 x) \log ^2\left (\frac {48 x}{4+3 x}\right )} \, dx \]

Optimal antiderivative \[ 259 \,{\mathrm e}^{-\frac {x}{\ln \left (\frac {x}{\frac {x}{16}+\frac {1}{12}}\right )}} \]

command

integrate(((-777*x-1036)*ln(48*x/(4+3*x))+1036)/(4+3*x)/ln(48*x/(4+3*x))**2/exp(x/ln(48*x/(4+3*x))),x)

Sympy 1.10.1 under Python 3.10.4 output

\[ \text {Exception raised: TypeError} \]

Sympy 1.8 under Python 3.8.8 output

\[ 259 e^{- \frac {x}{\log {\left (\frac {48 x}{3 x + 4} \right )}}} \]