U-substitution Problem

  • Thread starter fallen186
  • Start date
  • #1
41
0

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

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
1,341
3
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.
 
  • #3
327
1
∫(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
 

Related Threads on U-substitution Problem

  • Last Post
Replies
3
Views
577
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
6
Views
529
  • Last Post
Replies
4
Views
724
  • Last Post
Replies
1
Views
885
  • Last Post
Replies
4
Views
895
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
11
Views
1K
Replies
1
Views
918
Replies
12
Views
882
Top