Integrate : cos 2x log (cos x +sin x / cos x -sin x)

Answers (1)

Solution:  

                I=int (cos 2x)cdot log fraccos x +sin xcos x -sin xdx

             Integrating by parts ,

             I=fracsin 2x2log (fraccos x +sin xcos x- sin x)-frac12int frac2sin 2xcos 2xdx

               I=fracsin 2x2log (fraccos x +sin xcos x- sin x)-log sec(2x).

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