Hi, I'm trying to solve this problem by substitution and partial fractions (both methods stipulated in the question).

$\displaystyle \int\frac{1}{\sqrt{x}(1-\sqrt{x})(2-\sqrt{x})}\ dx$

so i substitute $\displaystyle u=\sqrt{x}$ so dx=2u du and form the new integral:

$\displaystyle \int\frac{2u}{2u^2(1-u)(2-u)}\ du$ but am a) not sure if this is correct and b) when I try and break this up into partial fractions i get some numerators equal to 0 :S

Please help!