Question

Someone please help me!! I will medal!!
Integrate 1/((x^2 +2)^2)

Answer 1

How do I expand this using partial fractions?

Answer 2

I don't need the whole answer

Answer 3

I don't think partial fractions would work here because that looks like this
\[\frac{Ax+B}{x^2+2}+\frac{Cx+D}{(x^2+2)^2}\]
all the constants should be 0 except D
unless I'm mistaken

Answer 4

I think you might want to do a trig sub

Answer 5

^

Answer 6

Oh really? It shows up in my partial frac notes package....

Answer 7

I think we can do it over the complex numbers

Answer 8

1/x4 + 4x² + 4

Answer 9

²

Answer 10

why won't ln work for it?

Answer 11

i guess ill just use trig sub... thanks anyways guys!!!

Answer 12

there is a nice partial fraction way of working this if you allow some guessing

Answer 13

nvm it got complicated :/
we better stick to trig substitution \(x = \sqrt{2}\tan u\)