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Evaluate integral [1/(2+cos^2x)] with respect to x.

Evaluate integral [1/(2+cos^2x)] with respect to x. Some manipulation is carried out initially and then we make substitution to evaluate. There is no need to remember any formula etc. when the technique given here is adopted. This technique can also be used for evaluating other similar integrals.

2=2sin^2x+2cos^2x,p =tanx,

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