so where do i go from here then ?
i solved the integral HallsofIvy gave me, giving me 1/4 ρ0l2ωt woudlnt that just mean that the coordinates for the COM are (1/4 ρ0l2ωt , ω/2 , t/2)
So the question is
A rectangular plate has length l, width w and thickness t. Its density is constant across the width, but varies with distance from one end as ρ=ρo [1 + (x/l)^2] Find the plate’s mass and the coordinates of it’s centre of mass.
I Have had a bash at this question, thinking...