Question

integral of x+1/x^2+1

Answer 1

\[\int\limits_{}^{} \frac{ x+1 }{ x^2 + 1}\]
This one?

Answer 2

yes!

Answer 3

Separate it into two, try it from here.

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

Answer 4

i got up to this part and i know what to do for 1/x^2+1 but when i do x/x^2+1 i get confused

Answer 5

Use substitution

Answer 6

did that and i got u=x^2+1 and du=2xdx which is du/2=xdx

Answer 7

yup!

Answer 8

does it end up being 1/2 the integral of 1/u du?

Answer 9

correct

Answer 10

thank you
i was looking online but yahoo answers was just confusing me

Answer 11

np

Answer 12

thats the difference between yahoo answers (answering site) and OpenStudy(study site).
we make sure you learn and can do similar problems on your own by interacting.
Good work! @ECE :)

\(Welcome ~to ~OpenStudy!!~~\ddot \smile \) @arrowhead94

Answer 13

thank you!!! @hartnn