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If int(dx)/(x^2+a x+1)=f(g(x))+c , then ...

If `int(dx)/(x^2+a x+1)=f(g(x))+c ,` then `f(x)` is inverse trigonometric function for `|a|>2` `f(x)` is logarithmic function for `|a|<2` `g(x)` is quadratic function for `|a|>2` `g(x)` is rational function for `|a|<2`

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