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int sqrt((a-x)/(x))dx...

`int sqrt((a-x)/(x))dx`

A

`a[ sin^(-1) ""sqrt((x)/(a) )+ sqrt((x)/(a))sqrt((a-x)/(a))]+c`

B

`sin^(-1) ""(x)/(a)+(x)/(a) sqrt(a^2 -x^2 )+C`

C

`a[ sin^(-1)"" (x)/(a)- (x)/(a)sqrt(a^2 -x^2 )]+c`

D

`sin^(-1)"" (x)/(a) - (x)/(a ) sqrt(a^2 -x^2 ) +C`

Text Solution

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The correct Answer is:
A
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