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int(cot^(2)x)/((cosec^(2)x+cosec x))dx...

int(cot^(2)x)/((cosec^(2)x+cosec x))dx

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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 -

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

(1) int cot^(2)x,*cosec^(2)xdx