1.

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

Answer»

SOLUTION :`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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