solve \[\int\limits_{0}^{b} \sqrt{1-2\cos \theta}d \theta \]

http://www.wolframalpha.com/input/?i=integrate+sqrt%28+1+-+2cos+x%29 guess not bounded or what it is called

but it's a definite integral....

b does not have definite value .. also for 2cos\theta>1, it is not defined

b=2Pi

http://www.wolframalpha.com/input/?i=integrate+sqrt%28+1+-+2cos+x%29

it's definitely going to have complex value

maybe i made a mistake somewhere......

thx anyway...

yw

ya i made a mistake, it should be: \[\int\limits_{0}^{2\pi} \sqrt{2-2\cos \theta}=\sqrt{2} \sqrt{2} \int\limits_{0}^{2\pi}\sin (\theta/2)d \theta \] :) @experimentX

oh .. that simplifies it i guess the previous ones are called http://en.wikipedia.org/wiki/Nonelementary_integral

ya, maybe.

eliptical integrals might solve that, but that's not for me...:)

well ... i don't have much info on it either :)

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