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Math Help - Would you please check the validity of this modified Glauert 's integral!

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    Would you please check the validity of this modified Glauert 's integral!

    Hi Folks,

    would you please verify the correctness of my derivation of the following integral ?

    int (0) to (pi/2) {cos (n theta)/(cos(theta)-cos(phi))}dtheta

    0<= phi =<pi/2

    Also any Guidance about solving it using the Residues Theorem would be appreciated.

    Thanks for help

    Mopen
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