$\displaystyle \int \frac{-4x}{4x^4+4x^2+1}$
$\displaystyle \int \frac{-4x}{(2x^2+1)(2x^2+1)}$
What would my next steps be to complete this integral?
And, if a picture helps...
Straight continuous lines differentiate/integrate with respect to x, the straight dashed line with respect to the dashed balloon expression - as though it were a variable like u.
Don't integrate - balloontegrate! Balloon Calculus: worked examples from past papers
Yes - and of course the differentiation is the same picture (completed) but read downwards instead of up.
Don't integrate - balloontegrate! http://www.ballooncalculus.org/examples.png