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This one looks pretty easy, but I keep getting the wrong answer. Here's the problem.
 
  
<math>\int_{0}^{2Pi}\sqrt{\frac{1-\cos{x}}{2}}dx</math>
 
 
Obviously, <math>\frac{1-\cos{x}}{2} = \sin^2{\frac{x}{2}}</math>
 
 
So, the integral should then look like:
 
 
<math>\int_{0}^{2Pi}\sin{\frac{x}{2}}dx</math>
 
 
Integrated, it comes out to:
 
 
<math>[-2\cos{\frac{x}{2}}]_{0}^{2Pi}</math>
 

Latest revision as of 11:21, 19 October 2008

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