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?