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

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

Text Solution

Verified by Experts

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