If int(x+1)/((x^(2)+4x+5)^(2))dx=f(x)+g(...

If `int(x+1)/((x^(2)+4x+5)^(2))dx=f(x)+g(x)+c` where f(0)=`(-3)/(10)`, g(-1)=`(-pi)/(8)` and c is any arbitrary constant, if value of `f(1)+g(sqrt(3)-2)=-(1)/(5)-(pi)/(k)`, then k:

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