I've been trying to solve

and I have come up with the inequality

or

I've never studied proofs before, at all but it does seem logical, just by looking at the problem that

or

Which is unrelated to the original problem, but it's something I did think about and I was wondering if it was correct (

) or if you could give a proof

If you do give me a proof ( or disproof) of that, it would be nice if it was in terms I could understand, I have yet to officially take anything past integration by parts in calculus two.