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[tex] \int{\frac{1}{1+[Tan(x)]^a}}dx [/tex]

So far i've tried constructing a function F(a) and differentitating to show that it is a 0, hence any a would result in the same answer. Thus chose a = 2, and solve it quite easily. Although, all my arguments rely on symmetry, just wondering if it is possible to solve without symmetry.