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The value of int(dx)/(x+sqrt(a^(2)-x^(2)...

The value of `int(dx)/(x+sqrt(a^(2)-x^(2)))`, is equal to

A

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

B

`(1)/(2)sin^(-1)""(x)/(a)+ln(xsqrt(a^(2)-x^(2)))+c`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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