Zintegruj funkci f(x)=\ln x metodou per partes.
=x \cdot \ln x-\int \ln x d x=x \cdot \ln x-\ln^2 x+C
=x \cdot \ln x-\int x d x=x \cdot \ln x-\frac{x^2}{2}+C
=x \cdot \ln x-\int 1 d x=x \cdot \ln x-x+C
=x \cdot \ln x-\int x^2 d x=x \cdot \ln x-\frac{x^3}{3}+C
