How would you integrate

(2+t)^2 / 1+t^2 dt

Had a long uni break and now i'm trying to get back into it but i've forgotten a lot.

Please show intermediate steps. I've tried integration by parts, is that the right way to tackle it?

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- Feb 27th 2009, 02:40 PMGigabyteIntegration Help
How would you integrate

(2+t)^2 / 1+t^2 dt

Had a long uni break and now i'm trying to get back into it but i've forgotten a lot.

Please show intermediate steps. I've tried integration by parts, is that the right way to tackle it? - Feb 27th 2009, 03:02 PMo_O
Note that:

So:

So your integral becomes:

On the RHS, use a -sub for the second integral and should ring a bell for the third. - Feb 27th 2009, 03:56 PMGigabyteThanks mate
Thanks for that, the world needs more people like yourself.

Just did it and got

2 ln|1+t^2| + 3tan^-1(t) + t + C