Question

Помогите Решить Интегралx^5ln2xdx

Answer 1

$\int x^5ln2xdx=\frac{x^6}{6}ln2x-\frac{1}{6}\int x^5dx=\frac{x^6}{6}ln2x-\frac{x^6}{36}+C\\u=ln2x=\ \textgreater \ du=\frac{dx}{x}\\dv=x^5dx=\ \textgreater \ v=\frac{x^6}{6}$