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Q.∫dx(x−a)(b−x)\int \dfrac{dx}{\sqrt{(x-a)(b-x)}} (b>a)(b>a) equals

a
2sin⁡−1x−ab−a+C2 \sin^{-1} \sqrt{\dfrac{x-a}{b-a}} + C
b
sin⁡−1x−ab−a+C\sin^{-1} \sqrt{\dfrac{x-a}{b-a}} + C
c
cos⁡−1x−ab−a+C\cos^{-1} \sqrt{\dfrac{x-a}{b-a}} + C
d
log⁡∣x−a+(x−a)(b−x)∣+C\log|x-a + \sqrt{(x-a)(b-x)}| + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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