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Evaluate the following intergrals : in...

Evaluate the following intergrals :
`int sqrt((x-alpha)(beta-x))dx(alpha lt x lt beta)`

Text Solution

Verified by Experts

The correct Answer is:
`=(1)/(2)(2x-alpha-beta)sqrt((x-alpha)(beta-x))+((beta-alpha)^(2))/(8)sin^(-1)(2x-alpha-beta)/(beta-alpha)+c`.
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