1.

Choose the correct answer`int1sqrt(3)(dx)/(1+x^2)`equals(A) `pi/3`(B)`(2pi)/3`(C)`pi/6`(D)`pi/(12)`A. `(2pi)/(3)`B. `(pi)/(6)`C. `(pi)/(12)`D.

Answer» Correct Answer - d
`int_(1)^(sqrt(3))(1)/(1+x^(2))dx`
`=[tan^(-1)x]_(1)^(sqrt(3))`
`=tan^(-1)sqrt(3)-tan^(-1)1`
`=(pi)/(3)-(pi)/(4)rArr (4pi-3pi)/(12)=(pi)/(12)`


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