How would one prove the equation for the period of the pendulum?

Take a look at this link: http://en.wikipedia.org/wiki/Pendulum I am interested in seeing the proof that: T = 2π√(L/g)[1 + (1/16)θ^2 + (11/3072)θ^4 + (173/737280)θ^6 + ...], (See the "Period of oscillation" section for this formula.) where T is the period of the pendulum, L is the length of the... show more Take a look at this link:
http://en.wikipedia.org/wiki/Pendulum

I am interested in seeing the proof that:
T = 2π√(L/g)[1 + (1/16)θ^2 + (11/3072)θ^4 + (173/737280)θ^6 + ...],
(See the "Period of oscillation" section for this formula.)

where T is the period of the pendulum, L is the length of the pendulum, and θ is the initial angle that the pendulum is pulled back.

Can anyone here prove this for me?
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