As with most of these, there are various ways to go about it.
Make the sub
and we get
Now, there are many routes to take, but a trig sub may be OK.
Can you do it from here?.
Integrate sqrt(x - x^2)
I've been struggling with this question for hours but has come no closer to solving it. I know it involes the sin inverse function but I cant find a suitable substitution to make that happen.
Would appreciate any help