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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)+1/2 log |x+sqrt(a^(2)-x^(2))|+C_(1)`

B

`1/2 sin^(-1)(x/a)-1/2log |x+sqrt(a^(2)-x^(2))|+C_(1)`

C

`1/2 sin^(-1)(x/a)-log|x+sqrt(a^(2)-x^(2))|+C_(1)`

D

`1/2 cos^(-1)(x/a)+1/2log|x+sqrt(a^(2)-x^(2))|+C_(1)`

Text Solution

Verified by Experts

The correct Answer is:
A
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