Question

Problem on indefinite integral!

Answer 1

\[\int\limits_{}^{}(1+\frac{ 1 }{ t })^2 \frac{ dt }{ t^2 }\]
Here is the problem... I have no idea how I am suppose to solve it, can anyone help with process?

Answer 2

\[\Large\bf\sf \int\limits \left(\color{royalblue}{1+\frac{1}{t}}\right)^2\left(\color{orangered}{\frac{1}{t^2}\;dt}\right)\]

Let, \[\Large\bf\sf \color{royalblue}{u=1+\frac{1}{t}}\]

Answer 3

\[\Large\bf\sf du=?\]

Answer 4

Well! Thank you for helping!