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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. |
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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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