U-Substitution in Calculus: Solving ∫(t+1)2/t2 Problems

[fallen186]

Homework Statement

∫(t+1)²/t²

Homework Equations

The Attempt at a Solution

I don't see any possible way to substitute.
∫(t²+2t+1)/t²

 

[Feldoh]

You don't need to do any substitution, just split up the fraction into three different terms, so you can evaluate three terms rather easily.

 

[tnutty]

∫(t+1)^2/t^2

=
∫ (t^2+2t+1 ) / t^2 dt

=

∫ t^2/t^2 dt + ∫2t/t^2 dt + 1/t^2 dt

take it from there