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## Homework Statement

Does ∫dx/sqrt(x^4+1) from x=-∞ to x=∞ converge or diverge?

explain in detail if you can please.

thanks

## Homework Equations

limit comparison test

direct comparison

## The Attempt at a Solution

....well i have the answer, it converges. I just need a better explanation than the solutions manual gives.the first thing i did was break it up into ... ∫dx/√(x

^{4}+1) from x=-∞ to x=0 +∫dx/√(x

^{4}+1) from x=0 to x=∞ then i was stuck, now i'm here...