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Evaluate the following integrals int(dx)...

Evaluate the following integrals `int(dx)/(x^2-5)`

Text Solution

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`int(dx)/(x^2-5)=int(dx)/((x-sqrt5)(x-sqrt5))`
`(1/(2sqrt5))int{(1/(x-sqrt5)-(1/(x+sqrt5)}`
`(1/(2sqrt5))Inabs((x-sqrt5)/(x+sqrt5))+C``
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