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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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` I=int frac{x^{2}+4}{x^{4}+16} d x`
`implies int frac{1+frac{4}{x^{2}}}{x^{2}+frac{16}{x^{2}}} d x`
`implies int frac{1+frac{4}{x^{2}}}{x^{2}+(frac{4}{x})^{2}-8+8} d x`
`implies int frac{1+frac{4}{x^{2}}}{(x-frac{4}{x})^{2}+8} d x` ...
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