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int(2)^(4) (3x^(2)+1)/((x^(2)-1)^(3))dx ...

`int_(2)^(4) (3x^(2)+1)/((x^(2)-1)^(3))dx = (lambda)/(n^(2))` where `lambda, n in N` and `gcd(lambda,n) = 1`, then find the value of `lambda + n`

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