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If int(cosec^(2)x)/((cosec x+cot x)^(9/2...

If `int(cosec^(2)x)/((cosec x+cot x)^(9/2))dx =(cosec x-cot x)^(7/2)((1)/(alpha)+((cosec x-cot x)^(2))/(11))+C` (where `C` is constant of integration and `a in N`),then a is -

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