22.54 Problem number 10072

$$\int \frac{-700+e^{\frac{1}{25}(-125+145x-16x^2+25x\log (3x))}(25-170x+32x^2-25x\log (3x))}{19600-1400e^{\frac{1}{25}(-125+145x-16x^2+25x\log (3x))}+25e^{\frac{2}{25}(-125+145x-16x^2+25x\log (3x))}}dx$$

Optimal antiderivative $$\frac{x}{{\mathrm{e}}^{x+4+x\ln \left(3x\right)-{(\frac{4x}{5}-3)}^2}-28}$$

command

Integrate[(-700 + E^((-125 + 145*x - 16*x^2 + 25*x*Log[3*x])/25)*(25 - 170*x + 32*x^2 - 25*x*Log[3*x]))/(19600 - 1400*E^((-125 + 145*x - 16*x^2 + 25*x*Log[3*x])/25) + 25*E^((2*(-125 + 145*x - 16*x^2 + 25*x*Log[3*x]))/25)),x]

Mathematica 13.1 output

$$\int \frac{-700+e^{\frac{1}{25}(-125+145x-16x^2+25x\log (3x))}(25-170x+32x^2-25x\log (3x))}{19600-1400e^{\frac{1}{25}(-125+145x-16x^2+25x\log (3x))}+25e^{\frac{2}{25}(-125+145x-16x^2+25x\log (3x))}}dx$$

Mathematica 12.3 output

$$-\frac{e^{5+\frac{16x^2}{25}}x}{28e^{5+\frac{16x^2}{25}}-3^x{e}^{29x/5}{x}^x}$$