- #1
autodidude
- 333
- 0
Homework Statement
Integrate [tex]\sqrt{x-x^2}[/tex]
The attempt
I did a trig substitution, letting [tex]cos(\theta)=\frac{x}{sqrt(x)}[/tex] and after some manipulation ended up with [tex]-2\int \ |sin(\theta)cos(\theta)|sin(\theta)cos(\theta) d\theta[/tex] which I have no idea how to integrate.
If I make a u-substitution and let u=cos(theta) rather than simplify to get the above, I get [tex]2\int \ u\sqrt{u^2-u^4}du[/tex] which I can't make any progress on either.