Question

Неопределенный интеграл int{x}, dx

f(x)=x^2lnx

Answer 1

u=lnx du=dx/x

dv=x^2dx  v=x^3/3

=lnx*x^3/3-int{x^2/3}dx=lnx*x^3/3-x^3/9=x^3/3*[lnx-1/3]