Question

2x^2dx/5-2x^3 помогите решить интеграл

Answer 1

5-2x³=t
dt=-6x²dx
2x²dx=-dt/3
$\int\limits {2x^2/(5-2x^3)} \, dx =-1/3 \int\limits {1/t} \, dt =-1/3*lnt=-1/3*ln(5-2x^3)+$C