Question

$\int\limits {x[(x^2+2x)/x^3]} \, dx$

Answer 1

$=\int x\dfrac{x(x+2)}{x^3}\ dx=\\ \\ \\ =\int \dfrac{x+2}{x}\ dx=\\ \\ \\ =\int \left(1+\dfrac{2}{x}\right) \ dx= \\ \\ \\ =x+2\ln x+C$