The integral is:

The substitution is: u = sqrt[x]

I don't know where I am going wrong, I am wondering if hte text book i'm using could have a typo or something (these books do occasionally get stuff wrong).

So what I did:

u=sqrt[x] => x=u^2

du/dx = (x^-1/2)/2 => dx = 2udu

subtituting into the original integral and multiplying out we now have:

And now i have no idea what to do :/

Mr F says: Now use a partial fraction decomposition.
According to the text book, the final answer is:

1/2*ln(9/5)

Where am I going wrong?