InterviewSolution
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InterviewSolution
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Choose the correct answer`int0 2/3(dx)/(4+9x^2)`(A) `pi/6`(B)`pi/(12)`(C)`pi/(24)`(D)`pi/4`A. `(pi)/(12)`B. `(pi)/(24)`C. `(pi)/(4)`D. |
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Answer» Correct Answer - c `int_(0)^(2//3)(1)/(4+9x^(2))dx` `=(1)/(9)int_(0)^(2//3)(1)/((4)/(9)+x^(2))dx` `=(1)/(9)int_(0)^(2//3)(1)/(((2)/(3))^(2)+x^(2))dx` `=(1)/(9).(1)/(2//3)[tan^(-1)((x)/(2//3))]_(0)^(2//3)` `=(1)/(6)[tan^(-1)((3x)/(2))]_(0)^(2//3)` `=(1)/(6)[tan^(-1)((3)/(2).(2)/(3))-tan^(-1)0]` `=(1)/(6) (tan^(-1)1-0)=(1)/(6).(pi)/(4)=(pi)/(24)` |
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