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

if `int((1/x^2+1/x)(x-1)dx)/((1/x^3+1/x)sqrt((x^3-x^2+x)(x^3+x^2+x))) = sec^-1(f(x)+c (x>0)` and `f(2)=5/2` then find the minimum value of `f(x)`

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