Question

integral of:

Answer 1

\[\int\limits_{?}^{?}(x+2)^2/(x^2+1)\]

Answer 2

i think you have to multply out

Answer 3

So integral of (x^2+4x+4)/(x^2+1) ? I tried that but idk what to do from there

Answer 4

i would try
\[\frac{x^2+1+4x+3}{x^2+1}=1+\frac{4x+3}{x^2+1}\] maybe that will help

Answer 5

i suck at these so maybe there is a snappier way
you are going to have to divide for sure, because as you see you get a 1 there
the next part i am less sure about

Answer 6

Can't I solve the integral of (4x+3)/(x^2+1) using that rule I forgot... Ax+B = ...

Answer 7

partial fractions*

Answer 8

no \(x^2+1\) does not factor, no partial fractions for this one

Answer 9

break apart again to get a log and a arctangent i think

Answer 10

What do you mean by break apart?

Answer 11

ok you good to here
\[\frac{x^2+1+4x+3}{x^2+1}=1+\frac{4x+3}{x^2+1}\]

Answer 12

Yup I am

Answer 13

then
\[1+\frac{4x}{x^2+1}+\frac{3}{x^2+1}\]

Answer 14

ohhh that's really smart. I see how to solve it now

Answer 15

first term gives \(x\)
last term is arctangent
middle one is a simple u - sub

Answer 16

oh ok said too much
good luck

Answer 17

Thanks so much for your help!

Answer 18

yw