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Areas between curves - Integration

So, I've been trying to do this on my own, but I'm really at a loss.

(The problem is in the attatched file)

At first I figured I'd need to find out where the two curves intersect,

so I did $\displaystyle x = \sqrt{k}$

Which I dont even know if right. I sure hope it is!

Then I figured that the area would go from 0 to $\displaystyle \sqrt{k}$,

and then I tried to integrate, and substitute x for $\displaystyle \sqrt{k}$.

Eventually I ended up with something like 1.8-something which is wrong.

I'd love for some guidance on this one, thanks in advance!