Need help: integration by substitution.

  • #1

Main Question or Discussion Point

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: [tex] \int \frac{(t+1)^2}{t^2} dt[/tex]

My solution:

[tex] \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}

[/tex]

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:

Answers and Replies

  • #2
590
0
Don't forget the constant of integration! I don't think there is a quicker way of solving it.
 

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