Question

∫(x^2+1)/(x+1)

Answer 1

Might not be an elementary function.

Answer 2

ok...

Answer 3

What class is this?

Answer 4

rational

Answer 5

I wonder if you try \(u = x+1\)

Answer 6

du would just = dx that wouldn't work

Answer 7

I would start with Polynomial Long Division.
I think it'll work out nicely from there.

Answer 8

is that because the exponent in the numerator is less than the denominator?

Answer 9

sorry its more than the denominator...

Answer 10

\(x^2+1\) has roots \(\pm i\)

Answer 11

yes.

Answer 12

alright let me try this...

Answer 13

So you're not going to factor it. I think the \(u\) might be best.

Answer 14

alright i think i messed up on the long devision...