Help with a Calculus problem involving integrals.?

Right off I don't see the answer either...

HINT ... What topic are you studying now?? Partial fractions??

if so try to change the fraction into the sum of 2 fractions ...

maybe do a substitution ... let z = sqrt x so the fraction becomes

... 1/[z(2z^2 - z)] <<< then find the partial fractions, sub sqrt x back into the fractions, then integrate ...

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Its been too long, but maybe there is a trig or arc trig function that applies ... nothing else comes to mind ... good luck

====== I used Wolfram alpha ... online site ... it does NOT show any steps, but it obviously thinks this is logarithmic integration

integral 1/(sqrt(x) (-sqrt(x) + 2 x)) dx

= 2 ln(1 - 2 sqrt(x)) - ln(x) + constant <<< wolfram's answer

Idk maybe you should do it yourself.