int(1)^(sqrt3)(d)/(1+x^(2)) बराबर है :...

`int_(1)^(sqrt3)(d)/(1+x^(2))` बराबर है :

`(pi)/(3)`

`(2pi)/(3)`

`(pi)/(6)`

`(pi)/(12)`

Verified by Experts

The correct Answer is:

`int_(1)^(sqrt3)(1)/(1+x^(2))dx`
`=[tan^(-1)x]_(1)^(sqrt3)`
`=tan^(-1)sqrt3-tan^(-1)1`
`=(pi)/(3)-(pi)/(4)" "rArr" "(4pi-3pi)/(12)=(pi)/(12)`

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