[f(x)" is a polynomial satisfying "f(x)t...

[f(x)" is a polynomial satisfying "f(x)times f((1)/(x))=f(x)+f((1)/(x))" and "f(3)=82" then "int(f(x))/(x^(2)+1)dx],[[" 1) "x^(3)-x+27cos^(4)x+c," 2) "(x^(2))/(3)-x+ln x," and "x+c],[" 3) "(x^(2))/(3)+x+2 pi an^(-1)x+c," 4) "(x^(2))/(2)-x+2 pi n^(-1)x+c]]

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