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

Question

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

experimentx · Answer

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

anonymous · Answer

but it's a definite integral....

experimentx · Answer

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

anonymous · Answer

b=2Pi

anonymous · Answer

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

experimentx · Answer

it's definitely going to have complex value

anonymous · Answer

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

anonymous · Answer

thx anyway...

experimentx · Answer

yw

anonymous · Answer

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

experimentx · Answer

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

anonymous · Answer

ya, maybe.

anonymous · Answer

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

experimentx · Answer

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