calculate :

$\displaystyle \int_{0}^{2\pi }\sqrt{\frac{1+cos\left (x \right )}{2}}dx$

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- Jan 11th 2014, 04:30 AMdhiabcalculate int
calculate :

$\displaystyle \int_{0}^{2\pi }\sqrt{\frac{1+cos\left (x \right )}{2}}dx$ - Jan 11th 2014, 05:13 AMMINOANMANRe: 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. - Jan 11th 2014, 04:37 PMProve ItRe: calculate int
Why would you take out $\displaystyle \displaystyle \begin{align*} \sqrt{2} \end{align*}$? It can already be turned into a half-angle and does not have any constant multiples...