If lim(a->oo) 1/a int0^(oo) (x^2+ax+1)/(...

If `lim_(a->oo) 1/a int_0^(oo) (x^2+ax+1)/(1+x^4) . tan^(-1) (1/x) dx` is equal to `pi^2/k, where`k in N` equals to (A) 8 (B) 16 (C) 32 (D) 48

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