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Math Help - calculate int

  1. #1
    Super Member dhiab's Avatar
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    calculate int

    calculate :

    \int_{0}^{2\pi }\sqrt{\frac{1+cos\left (x  \right )}{2}}dx
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  2. #2
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    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.
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  3. #3
    MHF Contributor
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    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...
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