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Evaluate: int1/((2-x)^2+1)dx...

Evaluate: `int1/((2-x)^2+1)dx`

Text Solution

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`int (1)/(sqrt((2-x)^(2)+1))dx`
` =int (1)/(sqrt((x-2)^(2)+(1)^(2)))dx`
`=log |(x-2)+sqrt((x-2)^(2)+1)|+c`
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