If the value of the integral I=int(0)^(1...

If the value of the integral `I=int_(0)^(1)(dx)/(x+sqrt(1-x^(2)))` is equal to `(pi)/(k)`, then the value of k is equal to

A

`(pi)/3`

B

`(pi)/2`

C

`1/2`

D

`(pi)/4`

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The correct Answer is:

D

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TARGET PUBLICATION-DEFINITE INTEGRALS-CRITICAL THINKING

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