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Evaluate: (i) int1/(sqrt((2-x)^2-1))\ dx...

Evaluate: (i) `int1/(sqrt((2-x)^2-1))\ dx` (ii) `int(x^4+1)/(x^2+1)\ dx`

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(i) `int frac{d x}{sqrt{(2-x)^{2}-1}} `
`text { let } 2-x=t `
`Rightarrow-d x=d t `
`Rightarrow d x=-d t `
`Now, int frac{d x}{sqrt{(2-x)^{2}-1}} `
`=int frac{-d t}{sqrt{t^{2}-1}} `
`=-log |t+sqrt{t^{2}-1}|+C `
...
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