3.25 Problem number 5924

\[ \int \frac {e^{\frac {46+2 x+(8+x) \log (2)}{23+x+4 \log (2)}} \left (-23 \log (2)-4 \log ^2(2)\right )}{529+46 x+x^2+(184+8 x) \log (2)+16 \log ^2(2)} \, dx \]

Optimal antiderivative \[ {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{5}}}-1-{\mathrm e}^{\frac {x}{4+\frac {x +23}{\ln \left (2\right )}}+2} \]

command

Int[(E^((46 + 2*x + (8 + x)*Log[2])/(23 + x + 4*Log[2]))*(-23*Log[2] - 4*Log[2]^2))/(529 + 46*x + x^2 + (184 + 8*x)*Log[2] + 16*Log[2]^2),x]

Rubi 4.17.3 under Mathematica 13.3.1 output

\[ -2^{\frac {x+8}{x+23+\log (16)}} e^{\frac {2 (x+23)}{x+23+\log (16)}} \]

Rubi 4.16.1 under Mathematica 13.3.1 output

\[ \int \frac {e^{\frac {46+2 x+(8+x) \log (2)}{23+x+4 \log (2)}} \left (-23 \log (2)-4 \log ^2(2)\right )}{529+46 x+x^2+(184+8 x) \log (2)+16 \log ^2(2)} \, dx \]________________________________________________________________________________________