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Evaluate: int(x^2+4)/(x^4+16)dx...

Evaluate: `int(x^2+4)/(x^4+16)dx`

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`int(x^(2)+4)/(x^(4)+16)dx = int((1+4/x^(2))/((x^(2)+16/x^(2))dx)) = int(1/((x-4/x)^(2)+8)d(x-4/x))= int(dt).t^(2)+(2sqrt(2))^(2)`.
Where, `t=x-4/x=1/(2sqrt(2)) tan^(-1)(t/(2sqrt(2)))+C=(1/(2sqrt(2))tan^(-1)(x^(2)-4)/(2sqrt(2)x))+C`
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