I'm currently working on a math paper and I've come across this integral that I've had some difficulty tackling. I was hoping someone could give me a hint or insight.
$\int\limits x\sqrt{\sqrt{(1.04)^4+4x^2}-x^2-1}$
I've already tried substitution for $u=\sqrt{(1.04)^4+4x^2}$ and come up with a simpler integral $\frac{\pi}{4}\int u\sqrt{4u-u^2-((1.04)^4+4)}$
(Although I'm not sure if it's right)
I'd appreciate any help!