# Thread: Integration by Substitution Problem

1. ## Integration by Substitution Problem

Find the indefinite integral:

$\int (1+\frac{1}{t})^{3}(\frac{1}{t^2})dt$

Perhaps I'm just missing the obvious here, but I can't even determine what to set u to. Any help?

2. Originally Posted by xfriendsonfirex
Find the indefinite integral:

$\int (1+\frac{1}{t})^{3}(\frac{1}{t^2})dt$

Perhaps I'm just missing the obvious here, but I can't even determine what to set u to. Any help?

Set u= $1+\frac{1}{t}$

then $du = \frac{-1}{t^2}dt$

Clear now?

3. Crystal. I feel stupid now. Haha. Thanks!

4. Originally Posted by xfriendsonfirex
Crystal. I feel stupid now. Haha. Thanks!
yeah, i feel bad for answering so directly. i should have hinted instead. it was really something you should have seen. you are nowhere near ready for an exam, based on this, my friend.