# Need help: integration by substitution.

1. Jan 13, 2008

### maxpayne_lhp

Hello all, how are you?

we are currently working on integration by substitution, what do you guys think about the way i solved this one:

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

My solution:

$$\int \frac{(t+1)^2}{t^2} dt = \int 1dt + \int \frac{2}{t} dt + \int \frac{1}{t^2} dt = t + 2ln|t| + \frac{1}{-3t^3}$$

When i check it by takin the derivative of my answer... it matches up with the stuff up top... but theres no substitution... am i doing it the right way? is there any faster way?

Thanks,

NN

Note:I realized i posted this at a wrong section... plz move it if you can. Thanks and sorry about that.

Last edited: Jan 13, 2008
2. Jan 13, 2008

### arunbg

Don't forget the constant of integration! I don't think there is a quicker way of solving it.