The value of \( \int \frac{d x}{\sqrt{(x-a)(b-x)}} \), is P W (1) \...

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The value of \( \int \frac{d x}{\sqrt{(x-a)(b-x)}} \), is
P
W
(1) \( 2 \sin ^{-1} \sqrt{\frac{x-a}{b-a}}+C \)
(2) \( 2 \sin ^{-1} \sqrt{\frac{x-b}{b-a}}+C \)
(3) \( \sin ^{-1} \sqrt{\frac{x-a}{b-a}}+C \)
(4) None of these
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