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Evaluate: int1/(sqrt((x-a)(x-b))\ )\ dx...

Evaluate: `int1/(sqrt((x-a)(x-b))\ )\ dx`

Text Solution

Verified by Experts

We can write,
`(x−a)(x−b) `
`=x^2−(a+b)x+ab`
`=x^2−(a+b)x+((a+b)^2)/4​−((a+b)^2)/4​+ab`
`=[x−(a+b​)/2]^2−((a−b)^2)/4`
Thus,
​ `⇒∫(​dx)/((x−a)(x−b))`
...
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