Late night integration

Integrals can tell us quite a lot. For those of you who are so disgustingly bored that you’ve found your way onto my blog, you should have a go at evaluating exactly the following integral:

$\int_0^1 \frac{x^4 (1-x)^4}{1+x^2} dx$

It might take some effort, but it’s well worth it. Of course, Wolfram Mathematica could do it for you…