Question

How can I find the antiderivative of ((x^2)+2)/((x^2)+1)

Answer 1

\[(x^2+2)/(x^2+1)\]

Answer 2

expand it
((x^2)/(x^2 +1) ) + 2/(x^2 +1)

Answer 3

\[\int\limits \frac{x^2+2}{x^2+1}dx\]

Answer 4

What's the problem? where you're stucked?

Answer 5

First remember to use synthetic division because same powers

Answer 6

synthetic? i think it is only for divisors like (x-a)

Answer 7

do the synthetic division. then do the integral

Answer 8

i would like to see a synthetic division with a divisor diferent than the form (x-c)