1. ## Please check my work - Integration

Hi,

I'm having a few issues getting this one sorted. Take a look and see if you can pick where I went wrong with it.

Thanks
Splint

2. ## Re: Please check my work - Integration

Here moment of inertia about $x$ axis is:

$I_x = \int_0^2 \int_{0}^{\sqrt[3]{2x^2}} y^2\, \delta(x,y)\,\, dy\,\, dx$

If density is uniform $\delta(x,y) = 1$

Now you can do the rest.