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int(0)^(2)(dx)/(sqrt(4-x^(2)) =?...

`int_(0)^(2)(dx)/(sqrt(4-x^(2))` `=?`

A

`1`

B

`sin^(-1)"(1)/(2)`

C

`(pi)/(4)`

D

none of these

Text Solution

Verified by Experts

`I=int_(0)^(2)(dx)/(sqrt(4-x^(2)))=[sin^(-1)"(x)/(2)]_(0)^(2)=(sin^(-1)1-sin^(-1)0)=(pi)/(2)`.
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