calculate int

• January 11th 2014, 05:30 AM
dhiab
calculate int
calculate :

$\int_{0}^{2\pi }\sqrt{\frac{1+cos\left (x \right )}{2}}dx$
• January 11th 2014, 06:13 AM
MINOANMAN
Re: calculate int
it is equal to 4.
get out of the root the square root of 2 and then use the half angle formula for cosx...the rest is easy.
• January 11th 2014, 05:37 PM
Prove It
Re: calculate int
Why would you take out \displaystyle \begin{align*} \sqrt{2} \end{align*}? It can already be turned into a half-angle and does not have any constant multiples...