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int(x+1)/(x^2+4x-5)dx...

`int(x+1)/(x^2+4x-5)dx`

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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:

"int(4x+5)/(x^(2)+x-2)dx